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Artykuły w czasopismach na temat „Catastrophe de gradient”

Autor: Grafiati

Data publikacji: 19 października 2024

Data aktualizacji: 31 lipca 2025

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1

LeBrasseur, Nicole. "Catastrophe gradient drives anaphase B." Journal of Cell Biology 177, no. 6 (2007): 944a. http://dx.doi.org/10.1083/jcb.1776iti5.

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2

Zakharov, S. V., and A. M. Il'in. "From weak discontinuity to gradient catastrophe." Sbornik: Mathematics 192, no. 10 (2001): 1417–33. http://dx.doi.org/10.1070/sm2001v192n10abeh000599.

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Konopelchenko, B. G., and G. Ortenzi. "Gradient catastrophe and flutter in vortex filament dynamics." Journal of Physics A: Mathematical and Theoretical 44, no. 43 (2011): 432001. http://dx.doi.org/10.1088/1751-8113/44/43/432001.

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4

Masoero, Davide, and Andrea Raimondo. "Semiclassical Limit for Generalized KdV Equations Before the Gradient Catastrophe." Letters in Mathematical Physics 103, no. 5 (2013): 559–83. http://dx.doi.org/10.1007/s11005-013-0605-x.

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5

Radko, Timour. "Applicability and failure of the flux-gradient laws in double-diffusive convection." Journal of Fluid Mechanics 750 (May 30, 2014): 33–72. http://dx.doi.org/10.1017/jfm.2014.244.

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AbstractDouble-diffusive flux-gradient laws are commonly used to describe the development of large-scale structures driven by salt fingers – thermohaline staircases, collective instability waves and intrusions. The flux-gradient model assumes that the vertical transport is uniquely determined by the local background temperature and salinity gradients. While flux-gradient laws adequately capture mixing characteristics on scales that greatly exceed those of primary double-diffusive instabilities, their accuracy rapidly deteriorates when the scale separation between primary and secondary instabil

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6

Konopelchenko, B. G., and G. Ortenzi. "Quasi-Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and Flutter." Studies in Applied Mathematics 130, no. 2 (2012): 167–99. http://dx.doi.org/10.1111/j.1467-9590.2012.00563.x.

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7

Zakharov, S. V. "Asymptotic solution of a Cauchy problem in a neighbourhood of a gradient catastrophe." Sbornik: Mathematics 197, no. 6 (2006): 835–51. http://dx.doi.org/10.1070/sm2006v197n06abeh003780.

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8

Aksenov, A. V., and K. P. Druzhkov. "Construction of Exact Solutions of the System of One-Dimensional Gas Dynamics Equations without Gradient Catastrophe." Известия Российской академии наук. Механика жидкости и газа, no. 1 (January 1, 2023): 135–43. http://dx.doi.org/10.31857/s0568528122600734.

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The system of equations that describes one-dimensional polytropic gas flows is considered. The invariants up to the second order of characteristics of the considered system of equations are classified. The method of reducing the Cauchy problems to systems of ordinary differential equations is proposed. Examples of the solutions without gradient catastrophe are constructed using invariants of characteristics supplementary to the Riemann invariants.

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9

Kolesnykov, A. V., S. V. Semenova, and О. О. Makovetska. "SIMULATION OF COMPOSITES STRUCTURE FORMATION PROCESSES USING THE METHODS OF THE CATASTROPHE THEORY." Modern construction and architecture, no. 6 (December 25, 2023): 90–98. http://dx.doi.org/10.31650/2786-6696-2023-6-90-98.

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The paper examines the possibility to model the structure formation processes in binder materials using some methods of catastrophe theory. Events at the level of coexistence and interaction of macroscopic and microscopic phenomena are analyzed. The dynamics of transformations at this level of material organization is considered using the method of structural potential, similar to the thermodynamic one, with the possibility of its empirical identification based on the processing of microscopic images. The transition to the potential functions of the theory of catastrophes is carried out by mea

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10

Beisenbi, М. А., and Zh O. Basheyeva. "Solving output control problems using Lyapunov gradient-velocity vector function." International Journal of Electrical and Computer Engineering (IJECE) 9, no. 4 (2019): 2874. http://dx.doi.org/10.11591/ijece.v9i4.pp2874-2879.

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This paper describes a controller and observer parameter definition approach in one input-one output (closed-loop) control systems using Lyapunov gradient-velocity vector function. Construction of the vector function is based on the gradient nature of the control systems and the parity of the vector functions with the potential function from the theory of catastrophe. Investigation of the closed-loop control system’s stability and solution of the problem of controller (determining the coefficient of magnitude matrix) and observer (calculation of the matrix elements of the observing equipment)

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11

М., А. Beisenbi, and О. Basheyeva Zh. "Solving output control problems using Lyapunov gradient-velocity vector function." International Journal of Electrical and Computer Engineering (IJECE) 9, no. 4 (2019): 2874–79. https://doi.org/10.11591/ijece.v9i4.pp2874-2879.

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This paper describes a controller and observer parameter definition approach in one input-one output (closed-loop) control systems using Lyapunov gradient-velocity vector function. Construction of the vector function is based on the gradient nature of the control systems and the parity of the vector functions with the potential function from the theory of catastrophe. Investigation of the closed-loop control system’s stability and solution of the problem of controller (determining the coefficient of magnitude matrix) and observer (calculation of the matrix elements of the observing equip

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12

Temirbek, A. "SYNTHESIS OF A TUNABLE MAIN-LOOP REGULATOR FOR THE ADAPTIVE CONTROL SYSTEM OF A LINEAR SPACECRAFT USING THE LYAPUNOV METHOD." ТЕХНИКА ҒЫЛЫМДАРЫ ЖӘНЕ ТЕХНОЛОГИЯ 8, no. 4 (2024): 18–25. https://doi.org/10.52081/tst.2024.v04.i8.045.

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This paper presents the synthesis of a tunable main-loop regulator for an adaptive control system of a linear spacecraft using a method based on Lyapunov functions, specifically through the application of Lyapunov's gradient-velocity vector-function approach. A universal method for constructing Lyapunov vector functions is proposed, based on the geometric interpretation of the asymptotic stability theorem and the concept of stability from Lyapunov’s direct method. The adaptive control system is considered in terms of gradient functions, while Lyapunov functions are interpreted as potential fun

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13

Nikitenkova, S., and E. Pelinovsky. "Strongly Nonlinear Transverse Perturbations in Phononic Crystals." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/348920.

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The dynamics of the surface heterogeneities formation in low-dimensional phononic crystals is studied. It is shown that phononic transverse perturbations in this medium are highly nonlinear. They can be described with the help of the Riemann wave and may form stable wave structures of the finite amplitude. The Riemann wave deformation is described analytically. The Riemann wave time existence up to the beginning of the gradient catastrophe is calculated.

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14

Cheerambathur, Dhanya K., Gul Civelekoglu-Scholey, Ingrid Brust-Mascher, Patrizia Sommi, Alex Mogilner, and Jonathan M. Scholey. "Quantitative analysis of an anaphase B switch: predicted role for a microtubule catastrophe gradient." Journal of Cell Biology 177, no. 6 (2007): 995–1004. http://dx.doi.org/10.1083/jcb.200611113.

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Anaphase B in Drosophila embryos is initiated by the inhibition of microtubule (MT) depolymerization at spindle poles, which allows outwardly sliding interpolar (ip) MTs to drive pole–pole separation. Using fluorescence recovery after photobleaching, we observed that MTs throughout the preanaphase B spindle are very dynamic and display complete recovery of fluorescence, but during anaphase B, MTs proximal to the poles stabilize and therefore display lower recovery than those elsewhere. Fluorescence microscopy of the MT tip tracker EB1 revealed that growing MT plus ends localize throughout the

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15

JENSSEN, HELGE KRISTIAN, and ROBIN YOUNG. "GRADIENT DRIVEN AND SINGULAR FLUX BLOWUP OF SMOOTH SOLUTIONS TO HYPERBOLIC SYSTEMS OF CONSERVATION LAWS." Journal of Hyperbolic Differential Equations 01, no. 04 (2004): 627–41. http://dx.doi.org/10.1142/s021989160400024x.

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We consider two new classes of examples of sup-norm blowup in finite time for strictly hyperbolic systems of conservation laws. The explosive growth in amplitude is caused either by a gradient catastrophe or by a singularity in the flux function. The examples show that solutions of uniformly strictly hyperbolic systems can remain as smooth as the initial data until the time of blowup. Consequently, blowup in amplitude is not necessarily strictly preceded by shock formation.

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16

Sun, Xiao, Shu Zhong Wang, and You Lian Lu. "Study on the Rheology of Foam Fracturing Fluid with Mixture Model." Advanced Materials Research 512-515 (May 2012): 1747–52. http://dx.doi.org/10.4028/www.scientific.net/amr.512-515.1747.

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Numerical simulation study on the rheology or foam fluid was carried through by treating inner phase as granular fluid with mixture model. The simulation results show that the gas phase is well distributed on cross-section. Besides, the higher the foam quality, the higher the velocity gradient near the wall. For turbulent properties, the turbulent kinetic energy and viscosity increase as the foam quality increases. With the same foam quality, the bigger the bubble diameter, the higher the turbulent viscosity and turbulent kinetic energy. What’s more, the foam quality 63% is a catastrophe point

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17

Maimurynova, A. A., M. A. Beisenbi, and A. Temirbek. "Reference model of adaptive control system for unstable and deterministic chaotic processes in the catastrophe class hyperbolic umbilica." Bulletin of the National Engineering Academy of the Republic of Kazakhstan 95, no. 1 (2025): 137–45. https://doi.org/10.47533/2025.1606-146x.11.

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A method is proposed for solving the problem of synthesis of a self-organizing adaptive control system for unstable and deterministic chaotic processes in the catastrophe class hyperbolic umbilic for objects with m-inputs and n-outputs. The problem of synthesizing a self-organizing adaptive control system is solved by the velocity- gradient method of the Lyapunov vector function. From the boundary conditions of the aperiodic robust stability of the main contour and the generalized adjustable object, adjustable coefficients are calculated and the control goal is achieved. An urgent problem in t

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18

Dogterom, M., M. A. Félix, C. C. Guet, and S. Leibler. "Influence of M-phase chromatin on the anisotropy of microtubule asters." Journal of Cell Biology 133, no. 1 (1996): 125–40. http://dx.doi.org/10.1083/jcb.133.1.125.

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In many eukaryotic cells going through M-phase, a bipolar spindle is formed by microtubules nucleated from centrosomes. These microtubules, in addition to being "captured" by kinetochores, may be stabilized by chromatin in two different ways: short-range stabilization effects may affect microtubules in close contact with the chromatin, while long-range stabilization effects may "guide" microtubule growth towards the chromatin (e.g., by introducing a diffusive gradient of an enzymatic activity that affects microtubule assembly). Here, we use both meiotic and mitotic extracts from Xenopus laevis

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19

Aksenov, A. V., and K. P. Druzhkov. "Construction of Exact Solutions of the System of One-Dimensional Gas Dynamics Equations without Gradient Catastrophe." Fluid Dynamics 58, no. 1 (2023): 136–44. http://dx.doi.org/10.1134/s0015462822601899.

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20

Beysenbi, M. A., and A. A. Maimurynova. "Solution of the problem of synthesis of the main contour oftheadaptive controlsystem for unstableand deterministic chaotic processes with m-inputs and n-outputs in the «Hyperbolic umbilic» catastrophe class." Bulletin of the National Engineering Academy of the Republic of Kazakhstan 85, no. 3 (2022): 99–109. http://dx.doi.org/10.47533/2020.1606-146x.182.

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An urgent problem in the conditions of uncertainty of the parameters of the control object and external influences, for the control of unstable and deterministic chaotic processes, is the use of adaptation methods. In this case, the reference model with the desired dynamics and the main control loop of the adaptive system are constructed in the catastrophe class “hyperbolic umbilic”, and the aperiodic robust stability of the reference model with the desired dynamics and the main control loop of the self-organizing adaptive system with an increased potential for robust stability is studied by t

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21

Radko, Timour. "Thermohaline layering on the microscale." Journal of Fluid Mechanics 862 (January 14, 2019): 672–95. http://dx.doi.org/10.1017/jfm.2018.976.

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A theoretical model is developed which illustrates the dynamics of layering instability, frequently realized in ocean regions with active fingering convection. Thermohaline layering is driven by the interplay between large-scale stratification and primary double-diffusive instabilities operating at the microscale – temporal and spatial scales set by molecular dissipation. This interaction is described by a combination of direct numerical simulations and an asymptotic multiscale model. The multiscale theory is used to formulate explicit and dynamically consistent flux laws, which can be readily

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22

Wang, Mingcan, and Xiangjun Wang. "Hybrid Neural Networks for Solving Fully Coupled, High-Dimensional Forward–Backward Stochastic Differential Equations." Mathematics 12, no. 7 (2024): 1081. http://dx.doi.org/10.3390/math12071081.

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The theory of forward–backward stochastic differential equations occupies an important position in stochastic analysis and practical applications. However, the numerical solution of forward–backward stochastic differential equations, especially for high-dimensional cases, has stagnated. The development of deep learning provides ideas for its high-dimensional solution. In this paper, our focus lies on the fully coupled forward–backward stochastic differential equation. We design a neural network structure tailored to the characteristics of the equation and develop a hybrid BiGRU model for solvi

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23

Cheng, Xiaofeng, Xianhui Feng, and Chun’an Tang. "Finite-strain gradient-extended damage-plastic modeling of rock: Understanding catastrophe from material failure and structural instability." Computers and Geotechnics 177 (January 2025): 106891. http://dx.doi.org/10.1016/j.compgeo.2024.106891.

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24

Rozanova, Olga. "Criterium for the gradient catastrophe for the non-isentropic gas dynamics equations in the one dimensional case." PAMM 7, no. 1 (2007): 2040051–52. http://dx.doi.org/10.1002/pamm.200700695.

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25

Beisenbi, Мamyrbek, and Samal Kaliyeva. "Approach to the synthesis of an aperiodic robust automatic control system based on the gradient-speed method of Lyapunov vector functions." Eastern-European Journal of Enterprise Technologies 1, no. 3 (121) (2023): 6–14. http://dx.doi.org/10.15587/1729-4061.2023.274063.

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One of the actual problems for the theory and practice of control of dynamic objects is the development of methods for research and synthesis of control systems of multidimensional objects. The paper proposes a universal approach to construct Lyapunov vector functions directly from the equation of state of control system and a new gradient-speed method of Lyapunov vector functions to study aperiodic robust stability of linear control system with m inputs and n outputs. The study of aperiodic robust stability of automatic control systems is based on the construction of Lyapunov vector functions

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26

Мamyrbek, Beisenbi, and Kaliyeva Samal. "Approach to the synthesis of an aperiodic robust automatic control system based on the gradient-speed method of Lyapunov vector functions." Eastern-European Journal of Enterprise Technologies 1, no. 3 (121) (2023): 6–14. https://doi.org/10.15587/1729-4061.2023.274063.

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One of the actual problems for the theory and practice of control of dynamic objects is the development of methods for research and synthesis of control systems of multidimensional objects. The paper proposes a universal approach to construct Lyapunov vector functions directly from the equation of state of control system and a new gradient-speed method of Lyapunov vector functions to study aperiodic robust stability of linear control system with m inputs and n outputs. The study of aperiodic robust stability of automatic control systems is based on the construction of Lyapunov vector functions

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27

Uhlhorn, Eric W., Suz Tolwinski-Ward, and Sylvie Lorsolo. "An Asymmetric Model of the Tropical Cyclone Surface Wind Field and Probabilistic Climatology of Structural Parameters." Journal of Applied Meteorology and Climatology 63, no. 12 (2024): 1569–87. https://doi.org/10.1175/jamc-d-24-0058.1.

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Abstract A new parametric model of a tropical cyclone’s (TC) surface wind field is proposed, in which parameters are calibrated on over 20 years of direct surface wind measurements from aircraft reconnaissance. The model extends previous formulations by representing structural asymmetries in the inner core and far field. The surface wind representation eliminates the need for uncertain aircraft flight (gradient) level-to-surface extrapolation or pressure gradient formulation conversions to wind speed. Parameters are expanded to wavenumber-1 asymmetric Fourier components around symmetric mean v

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28

Kay, Alan R., and Mordecai P. Blaustein. "Evolution of our understanding of cell volume regulation by the pump-leak mechanism." Journal of General Physiology 151, no. 4 (2019): 407–16. http://dx.doi.org/10.1085/jgp.201812274.

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All animal cells are surrounded by a flexible plasma membrane that is permeable to water and to small ions. Cells thus face a fundamental problem: the considerable tension that their membranes would experience if the osmotic influx of water, driven by the presence of impermeant intracellular ions, was left unopposed. The pivotal study that described the cell’s remedy for this impending osmotic catastrophe—the “pump-leak mechanism” (PLM)—was published in the Journal of General Physiology by Tosteson and Hoffman in 1960. Their work revealed how the sodium pump stabilizes cell volume by eliminati

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29

Jardón-Kojakhmetov, Hildeberto, Christian Kuehn, and Maximilian Steinert. "The hyperbolic umbilic singularity in fast-slow systems." Nonlinearity 37, no. 9 (2024): 095036. http://dx.doi.org/10.1088/1361-6544/ad6bde.

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Abstract Fast-slow systems with three slow variables and gradient structure in the fast variables have, generically, hyperbolic umbilic, elliptic umbilic or swallowtail singularities. In this article we provide a detailed local analysis of a fast-slow system near a hyperbolic umbilic singularity. In particular, we show that under some appropriate non-degeneracy conditions on the slow flow, the attracting slow manifolds jump onto the fast regime and fan out as they cross the hyperbolic umbilic singularity. The analysis is based on the blow-up technique, in which the hyperbolic umbilic point is

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30

Ong 王, J. M. Joel 加冕, Christopher J. Lindsay, Claudia Reyes, Dennis Stello, and Ian W. Roxburgh. "Resolving an Asteroseismic Catastrophe: Structural Diagnostics from p-mode Phase Functions off the Main Sequence." Astrophysical Journal 980, no. 2 (2025): 199. https://doi.org/10.3847/1538-4357/ada949.

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Abstract On the main sequence, the asteroseismic small frequency separation δν 02 between radial and quadrupole p-modes is customarily interpreted to be a direct diagnostic of internal structure. Such an interpretation is based on a well-known integral estimator relating δν 02 to a radially averaged sound-speed gradient. However, this estimator fails, catastrophically, when evaluated on structural models of red giants: their small separations must therefore be interpreted differently. We derive a single expression that both reduces to the classical estimator when applied to main-sequence stell

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31

He, M. M., K. Q. Wu, and Z. Q. Zhang. "A new method for introducing plastic zone and tangential stress into tunnelling strain rockburst prediction." Géotechnique Letters 12, no. 3 (2022): 1–34. http://dx.doi.org/10.1680/jgele.21.00129.

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This paper on a criterion for rockbursts is focused mainly on the stress concentration and gradient change of the tangential stress of the surrounding rock. Two parameters are introduced into tunnelling strain rockburst prediction: the radius of the plastic zone and the radial stress at the elastoplastic junction after excavating the surrounding rock. A new rockburst criterion is proposed based on the mechanism for throwing-type rockbursts and catastrophe theory. Meanwhile, a new multi-factor index for identifying rockburst classification is given based on rockbursts in actual engineering. The

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32

Brust-Mascher, Ingrid, and Jonathan M. Scholey. "Mitotic motors and chromosome segregation: the mechanism of anaphase B." Biochemical Society Transactions 39, no. 5 (2011): 1149–53. http://dx.doi.org/10.1042/bst0391149.

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Anaphase B spindle elongation plays an important role in chromosome segregation. In the present paper, we discuss our model for anaphase B in Drosophila syncytial embryos, in which spindle elongation depends on an ip (interpolar) MT (microtubule) sliding filament mechanism generated by homotetrameric kinesin-5 motors acting in concert with poleward ipMT flux, which acts as an ‘on/off’ switch. Specifically, the pre-anaphase B spindle is maintained at a steady-state length by the balance between ipMT sliding and ipMT depolymerization at spindle poles, producing poleward flux. Cyclin B degradatio

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33

ALBEVERIO, SERGIO, and OLGA ROZANOVA. "THE NON-VISCOUS BURGERS EQUATION ASSOCIATED WITH RANDOM POSITION IN COORDINATE SPACE: A THRESHOLD FOR BLOW UP BEHAVIOUR." Mathematical Models and Methods in Applied Sciences 19, no. 05 (2009): 749–67. http://dx.doi.org/10.1142/s0218202509003607.

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It is well known that the solutions to the non-viscous Burgers equation develop a gradient catastrophe at a critical time provided the initial data have a negative derivative in certain points. We consider this equation assuming that the particle paths in the medium are governed by a random process with a variance which depends in a polynomial way on the velocity. Given an initial distribution of the particles which is uniform in space and with the initial velocity linearly depending on the position, we show both analytically and numerically that there exists a threshold effect: if the power i

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34

Gardner, Melissa K., Chad G. Pearson, Brian L. Sprague, et al. "Tension-dependent Regulation of Microtubule Dynamics at Kinetochores Can Explain Metaphase Congression in Yeast." Molecular Biology of the Cell 16, no. 8 (2005): 3764–75. http://dx.doi.org/10.1091/mbc.e05-04-0275.

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During metaphase in budding yeast mitosis, sister kinetochores are tethered to opposite poles and separated, stretching their intervening chromatin, by singly attached kinetochore microtubules (kMTs). Kinetochore movements are coupled to single microtubule plus-end polymerization/depolymerization at kinetochore attachment sites. Here, we use computer modeling to test possible mechanisms controlling chromosome alignment during yeast metaphase by simulating experiments that determine the 1) mean positions of kinetochore Cse4-GFP, 2) extent of oscillation of kinetochores during metaphase as measu

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35

Guzina, Bojan B., and Fatemeh Pourahmadian. "Why the high-frequency inverse scattering by topological sensitivity may work." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2179 (2015): 20150187. http://dx.doi.org/10.1098/rspa.2015.0187.

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This study deciphers the topological sensitivity (TS) as a tool for the reconstruction and characterization of impenetrable anomalies in the high-frequency regime. It is assumed that the anomaly is simply connected and convex, and that the measurements of the scattered field are of the far-field type. In this setting, the formula for TS—which quantifies the perturbation of a cost functional due to a point-like impenetrable scatterer—is expressed as a pair of nested surface integrals: one taken over the boundary of a hidden obstacle, and the other over the measurement surface. Using multipole e

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36

Bertola, Marco, and Alexander Tovbis. "Universality for the Focusing Nonlinear Schrödinger Equation at the Gradient Catastrophe Point: Rational Breathers and Poles of the Tritronquée Solution to Painlevé I." Communications on Pure and Applied Mathematics 66, no. 5 (2013): 678–752. http://dx.doi.org/10.1002/cpa.21445.

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Gudkov, I., I. Volkohon, V. Illienko, M. Lazarev, and A. Klepko. "Impact of radioactive contamination of soils on the diversity of micropopulation and the transformation of organic substances." Agricultural Science and Practice 9, no. 3 (2023): 3–17. http://dx.doi.org/10.15407/agrisp9.03.003.

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Aim. To study the impact of different levels of radioactive contamination on the organic matter decomposition and the population development of microbial decomposers of organic matter in soil. Methods. Gamma-spectrometry for the determination of the relative activity of 137Cs and beta-spectrometry for the determination of the relative activity of 90Sr in order to choose the contamination range for the studies; Tea Bag Іndex (TBI), the standard glob- ally accepted method to determine the rate of organic matter decomposition; gas chromatography – to determine the impact of the investigated facto

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F. Abd El-Aal, Mohamed. "Economic Crisis Treatment Based on Artificial Intelligence." Jurnal Institutions and Economies 16, no. 3 (2024): 97–116. http://dx.doi.org/10.22452/ijie.vol16no3.5.

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Abstract: There are many possible causes of an economic crisis—a financial downturn, a banking meltdown, political strife (e.g., the Russia-Ukraine war), or a health-related catastrophe (e.g., Covid-19). Some of these crises are expected, while others are “bolts from the sky.” However, what is certain is that all these crises, whatever their cause, have a negative impact on global gross domestic product (GDP). If we can identify the components of output that have the most impact in an economic crisis, we might be able to mitigate its effects. Therefore, this paper uses machine learning algorit

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Lowman, Nicholas K., and M. A. Hoefer. "Dispersive shock waves in viscously deformable media." Journal of Fluid Mechanics 718 (February 8, 2013): 524–57. http://dx.doi.org/10.1017/jfm.2012.628.

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AbstractThe viscously dominated, low-Reynolds-number dynamics of multi-phase, compacting media can lead to nonlinear, dissipationless/dispersive behaviour when viewed appropriately. In these systems, nonlinear self-steepening competes with wave dispersion, giving rise to dispersive shock waves (DSWs). Example systems considered here include magma migration through the mantle as well as the buoyant ascent of a low-density fluid through a viscously deformable conduit. These flows are modelled by a third-order, degenerate, dispersive, nonlinear wave equation for the porosity (magma volume fractio

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Zakharov, Sergey V. "EVOLUTION OF A MULTISCALE SINGULARITY OF THE SOLUTION OF THE BURGERS EQUATION IN THE 4-DIMENSIONAL SPACE–TIME." Ural Mathematical Journal 8, no. 1 (2022): 136. http://dx.doi.org/10.15826/umj.2022.1.012.

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The solution of the Cauchy problem for the vector Burgers equation with a small parameter of dissipation \(\varepsilon\) in the \(4\)-dimensional space-time is studied: $$ \mathbf{u}_t + (\mathbf{u}\nabla) \mathbf{u} = \varepsilon \triangle \mathbf{u}, \quad u_{\nu} (\mathbf{x}, -1, \varepsilon) = - x_{\nu} + 4^{-\nu}(\nu + 1) x_{\nu}^{2\nu + 1}, $$ With the help of the Cole–Hopf transform \(\mathbf{u} = - 2 \varepsilon \nabla \ln H,\) the exact solution and its leading asymptotic approximation, depending on six space-time scales, near a singular point are found. A formula for the growth of pa

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Anjani, Suputri Devi D., D. Manjusha, P. Pujith, Ch G. V. Satyanarayana, V. Sailusha, and Reddy G. Vivekananda. "Comparative analysis for survival prediction from titanic disaster using machine learning." i-manager’s Journal on Software Engineering 18, no. 1 (2023): 36. http://dx.doi.org/10.26634/jse.18.1.20137.

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Among the most notorious shipwrecks in history is the Titanic. Out of the 2,224 passengers and crew, 1,502 perished when the Titanic sank on April 15, 1912, during her maiden voyage, following an iceberg collision. Ship safety laws have improved as a result of this dramatic disaster that stunned the world. Scientists and investigators are beginning to understand what could have caused some passengers to survive while others perished in the Titanic catastrophe. A contributing factor in the high death toll from the shipwreck was the insufficient number of lifeboats available for both passengers

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Tang, Jinyu, Mohammed N. Ansari, and William R. Rossen. "Quantitative Modeling of the Effect of Oil on Foam for Enhanced Oil Recovery." SPE Journal 24, no. 03 (2019): 1057–75. http://dx.doi.org/10.2118/194020-pa.

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Summary The effectiveness of foam for mobility control in the presence of oil is key to foam enhanced oil recovery (EOR). A fundamental property of foam EOR is the existence of two steady-state flow regimes: the high-quality regime and the low-quality regime. Experimental studies have sought to understand the effect of oil on foam through its effect on these two regimes. Here, we explore the effect of oil on the two flow regimes for one widely used foam model. The STARS (CMG 2015) foam model includes two algorithms for the effect of oil on foam: In the “wet-foam” model, oil changes the mobilit

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Trèvese, D., G. Cirimele, and M. de Simone. "Matter Distribution in the Galaxy Clusters A 539 and A 2319." Symposium - International Astronomical Union 188 (1998): 329. http://dx.doi.org/10.1017/s0074180900115396.

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We performed a combined X-ray and optical analysis of the two clusters A539 and A2319, based on ROSAT PSPC 0.4-2.4 keV images of the public archive and F band photometry from microdensitometric scans of Palomar 48 inch plates (Trèvese et al. 1992, A&AS, 94, 327). Assuming spherical symmetry and following the methods adopted in Cirimele, Nesci, and Trèvese (1997, ApJ, 475, 11 (CNT97)) we derived the radial distribution of gas and galaxy densities ρgas and ρgal and we have computed the morphological parameter βxo ≡ d ln ρgas(r)/d ln ρgal(r), introduced in CNT97. This allows to check the vali

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Alekseeva, E. S., and A. E. Rassadin. "THE MODIFIED WHITHAM MODULATION THEORY FOR THE NONLINEAR KLEIN-GORDON-FOCK EQUATION WITH THE SIMPLEST RATIONAL FUNCTION AS ITS POTENTIAL." XXII workshop of the Council of nonlinear dynamics of the Russian Academy of Sciences 47, no. 1 (2019): 12–14. http://dx.doi.org/10.29006/1564-2291.jor-2019.47(1).2.

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It is well-known that one can construct approximate solution of the nonlinear KleinGordon-Fock equation (NKGF) by means of the Whitham modulation theory (Whitham, 1977). In this work in the framework of the modified Whitham modulation theory presented at (Alekseeva, Rassadin, 2018) and (Kostromina et al., 2017) for NKGF with potential U(x) = (x–1/x)2 its asymptotic solution v(x, t) has been found. Due to isochronism of onedimensional movement of classical particle with unit mass in this potential amplitude a(x, t) of asymptotical solution obeys the linear transfer equation ∂a/∂t + V∂a/∂x = 0 w

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Suleimenova, S. T., Zh O. Musiripsha, N. P. Kabulov, and E. A. Ospanov. "Investigation of the stability of the control system of a self-balanced two-wheeled robot." Bulletin of Shakarim University. Technical Sciences, no. 2(10) (June 30, 2023): 38–45. http://dx.doi.org/10.53360/2788-7995-2023-2(10)-5.

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The main characteristics of the control system are the stability and quality of regulation. A stable system always returns to the equilibrium position after the external perturbation ceases to act. An unstable system goes into overdrive after the slightest push.A self-balancing robot has many different sensors. To maintain balance, a rotational motion sensor and an angular velocity sensor will be used. The speed of the motors can be controlled by changing the duty cycle of the pulse-width modulation. The robot model takes a voltage value as input and outputs the state of the system. At the out

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Domínguez-Olmedo, Juan L., Álvaro Gragera-Martínez, Jacinto Mata, and Victoria Pachón Álvarez. "Machine Learning Applied to Clinical Laboratory Data in Spain for COVID-19 Outcome Prediction: Model Development and Validation." Journal of Medical Internet Research 23, no. 4 (2021): e26211. http://dx.doi.org/10.2196/26211.

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Background The COVID-19 pandemic is probably the greatest health catastrophe of the modern era. Spain’s health care system has been exposed to uncontrollable numbers of patients over a short period, causing the system to collapse. Given that diagnosis is not immediate, and there is no effective treatment for COVID-19, other tools have had to be developed to identify patients at the risk of severe disease complications and thus optimize material and human resources in health care. There are no tools to identify patients who have a worse prognosis than others. Objective This study aimed to proce

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Oerlemans, J. "A quasi-analytical ice-sheet model for climate studies." Nonlinear Processes in Geophysics 10, no. 4/5 (2003): 441–52. http://dx.doi.org/10.5194/npg-10-441-2003.

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Abstract. A simple quasi-analytical model is developed to study the response of ice-sheets to climate change. The model is axisymmetrical and rests on a bed with a constant slope. The mechanics are highly parameterised. The climatic conditions are represented by the altitude of the runoff line. Above the runoff line the accumulation rate is constant (but may depend on, for instance, the ice-sheet size), below the runoff line the balance gradient is constant. The ice-sheet may extend into the sea and can respond to changes in sea level. At the grounding line the ice velocity is assumed to be pr

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Malaguti, S., A. Corli, and S. Trillo. "Control of gradient catastrophes developing from dark beams." Optics Letters 35, no. 24 (2010): 4217. http://dx.doi.org/10.1364/ol.35.004217.

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Zhang, Yu Cheng, Guang Hua Yang, Hai Ying Hu, and Peng Liu. "Method to Identify the Critical Slip Surface of Side Slope via the Deformation Field and Stress Field Calculated through Deformation Modulus Elastoplasticity Strength Reduction Method." Applied Mechanics and Materials 90-93 (September 2011): 3–11. http://dx.doi.org/10.4028/www.scientific.net/amm.90-93.3.

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When strength reduction method is used for side slope analysis, only the intensive parameters are reduced and deformation parameters are not. The ideal elastoplastic model is adopted, and the safety factor is basically in agreement with that of the traditional limit equilibrium method. Main result is the safety factor of side slope, but non-linearity of soil is not considered actually during calculation, so it's hard to arrive at a real deformation field. Based on the deformation modulus elastoplasticity strength reduction method, research of this paper can achieve a more truthful deformation

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Silalahi, Meschac T., Darharta Dahrin, Dadi Abdurrahman, and Adrin Tohari. "Identification Of Liquefaction-Potential Zones Using The Gravity Method In Lolu Village, Central Sulawesi." Jurnal Penelitian Pendidikan IPA 9, no. 8 (2023): 6206–12. http://dx.doi.org/10.29303/jppipa.v9i8.4830.

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A seismic event of magnitude 7.5 struck the Palu region in Central Sulawesi on September 28, 2018, precipitating a subsequent calamity in the form of a tsunami measuring 4-7 meters in height. This catastrophe was further compounded by the occurrence of liquefaction, leading to extensive devastation and a significant loss of life. In order to identify areas susceptible to liquefaction, it is anticipated that the employment of the gravity method, renowned for its capacity to discern density fluctuations associated with the mass of voluminous materials over a considerable detection range, will pr

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