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Journal articles on the topic 'Generalised KPZ equation'

Author: Grafiati

Published: 4 June 2021

Last updated: 13 February 2022

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1

Kupiainen, Antti, and Matteo Marcozzi. "Renormalization of Generalized KPZ Equation." Journal of Statistical Physics 166, no. 3-4 (2016): 876–902. http://dx.doi.org/10.1007/s10955-016-1636-3.

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2

Catuogno, Pedro, and Christian Olivera. "Renormalized-generalized solutions for the KPZ equation." Infinite Dimensional Analysis, Quantum Probability and Related Topics 17, no. 04 (2014): 1450027. http://dx.doi.org/10.1142/s0219025714500271.

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This work introduces a new notion of solution for the KPZ equation, in particular, our approach encompasses the Cole–Hopf solution. We set in the context of the distribution theory the proposed results by Bertini and Giacomin from the mid '90s. This new approach provides a pathwise notion of solution as well as a structured approximation theory. The developments are based on regularization arguments from the theory of distributions.

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3

Davies, I. M., A. Truman, and H. Z. Zhao. "Stochastic generalised KPP equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 126, no. 5 (1996): 957–83. http://dx.doi.org/10.1017/s0308210500023192.

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We classify multiplicative white noise perturbationsk(·)dw, of generalised KPP equations and their effects on deterministic approximate travelling wave solutions by the behaviour of, the solutions of the stochastic generalised KPP equations converge to deterministic approximate travelling waves and ifbeing an associated potential energy, Фsa solution of the corresponding classical mechanical equations of Newton,Dbeing a certain domain inR1×Rrthen the white noise perturbations essentially destroy the wave structure and force the solutions to die down.For the case(suppose the existence of the li

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4

Zhao, Yun-Mei, Ying-Hui He, and Yao Long. "The Simplest Equation Method and Its Application for Solving the Nonlinear NLSE, KGZ, GDS, DS, and GZ Equations." Journal of Applied Mathematics 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/960798.

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A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the elliptic-like equations are derived using the simplest equation method and the modified simplest equation method, and then the exact solutions of a class of nonlinear evolution equations which can be converted to the elliptic-like equation using travelling wave reduction are obtained. For example, the perturbed nonlinear Schrödinger’s equation (NLSE), the Klein-Gordon-Zakharov (KGZ) system, the generalized Davey-Stewartson (GDS) equations, the Davey-Stewart

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5

Qi, Yuanwei, and Mingxin Wang. "The self-similar profiles of generalized KPZ equation." Pacific Journal of Mathematics 201, no. 1 (2001): 223–40. http://dx.doi.org/10.2140/pjm.2001.201.223.

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6

GUEDDA, Mohammed, and Robert KERSNER. "Self-similar solutions to the generalized deterministic KPZ equation." NoDEA : Nonlinear Differential Equations and Applications 10, no. 1 (2003): 1–13. http://dx.doi.org/10.1007/s00030-003-1036-z.

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7

Gladkov, Alexander. "Self-Similar Blow-Up Solutions of the KPZ Equation." International Journal of Differential Equations 2015 (2015): 1–4. http://dx.doi.org/10.1155/2015/572841.

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8

Zhao, H. Z. "On gradients of approximate travelling waves for generalised KPP equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 127, no. 2 (1997): 423–39. http://dx.doi.org/10.1017/s0308210500023738.

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In this paper we use stochastic semiclassical analysis and the logarithmic transformation to study the gradients of the approximate travelling wave solutions for the generalised KPP equations with Gaussian and Dirac delta initial distributions. We apply the logarithmic transformation to the nonlinear reaction diffusion equations and obtain a Maruyama–Girsanov–Cameron–Martin formula for the driftμ2∇loguμ,uμbeing a solution of a generalised KPP equation. We obtain thatμ2|∇ loguμ(t,x)| is bounded and the trough is flat. The difficult problem in this paper is to prove that the corresponding crest

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9

Huang, Zhehao, and Zhengrong Liu. "Stochastic traveling wave solution to stochastic generalized KPP equation." Nonlinear Differential Equations and Applications NoDEA 22, no. 1 (2014): 143–73. http://dx.doi.org/10.1007/s00030-014-0279-9.

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10

Shapovalov, Alexander, and Andrey Trifonov. "Approximate Solutions and Symmetry of a Two-Component Nonlocal Reaction-Diffusion Population Model of the Fisher–KPP Type." Symmetry 11, no. 3 (2019): 366. http://dx.doi.org/10.3390/sym11030366.

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We propose an approximate analytical approach to a ( 1 + 1 ) dimensional two-component system consisting of a nonlocal generalization of the well-known Fisher–Kolmogorov–Petrovskii– Piskunov (KPP) population equation and a diffusion equation for the density of the active substance solution surrounding the population. Both equations of the system have terms that describe the interaction effects between the population and the active substance. The first order perturbation theory is applied to the system assuming that the interaction parameter is small. The Wentzel–Kramers–Brillouin (WKB)–Maslov

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11

Kollár, Richard, and Sebastian Novak. "Existence of Traveling Waves for the Generalized F–KPP Equation." Bulletin of Mathematical Biology 79, no. 3 (2016): 525–59. http://dx.doi.org/10.1007/s11538-016-0244-3.

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12

Fukui, S., and R. Kaneko. "Experimental Investigation of Externally Pressurized Bearings Under High Knudsen Number Conditions." Journal of Tribology 110, no. 1 (1988): 144–47. http://dx.doi.org/10.1115/1.3261554.

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The characteristics of the externally pressurized bearings under high Knudsen number conditions were investigated experimentally by the use of surface restriction bearings in a medium vacuum on the order of 0.1 kPa (10−3 atm.). The experimental results agreed well with the numerical results calculated from a generalized lubrication equation based on the Boltzmann equation. Therefore, it would appear that this generalized lubrication equation is valid even when flows are categorized into transition flow or free molecular flow.

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13

Elworthy, K. D., H. Z. Zhao, and J. G. Gaines. "The propagation of travelling waves for stochastic generalized KPP equations." Mathematical and Computer Modelling 20, no. 4-5 (1994): 131–66. http://dx.doi.org/10.1016/0895-7177(94)90162-7.

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14

YAO, YUQIN, YEHUI HUANG та YUNBO ZENG. "A NEW (γn, σk)-KP HIERARCHY AND GENERALIZED DRESSING METHOD". Journal of Nonlinear Mathematical Physics 19, № 04 (2012): 1250027. http://dx.doi.org/10.1142/s1402925112500271.

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A new (γn, σk)-KP hierarchy (KPH) with two new time series γn and σk, which consists of γn-flow, σk-flow and mixed γn and σk evolution equations of eigenfunctions, is proposed. Two reductions and constrained flows of (γn, σk)-KPH are studied. The dressing method is generalized to the (γn, σk)-KPH and some solutions are presented.

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15

Zayed, Elsayed ME, Khaled AE Alurrfi, and Abdul Ghani Al Nowehy. "The Backlund Transformation of the Generalized Riccati Equation and Its Applications to the Nonlinear KPP Equation." Physics & Astronomy International Journal 1, no. 1 (2017): 39–47. http://dx.doi.org/10.15406/paij.2017.01.00007.

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16

Qin, Wendi, Deqiong Ding, and Xiaohua Ding. "Two boundedness and monotonicity preserving methods for a generalized Fisher-KPP equation." Applied Mathematics and Computation 252 (February 2015): 552–67. http://dx.doi.org/10.1016/j.amc.2014.12.043.

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17

Ji, Shanming, Jingxue Yin, and Rui Huang. "Oscillatory traveling waves of polytropic filtration equation with generalized Fisher–KPP sources." Journal of Mathematical Analysis and Applications 419, no. 1 (2014): 68–78. http://dx.doi.org/10.1016/j.jmaa.2014.04.030.

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18

Nadin, Grégoire, and Luca Rossi. "Generalized Transition Fronts for One-Dimensional Almost Periodic Fisher-KPP Equations." Archive for Rational Mechanics and Analysis 223, no. 3 (2016): 1239–67. http://dx.doi.org/10.1007/s00205-016-1056-1.

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19

Nishiwaki, M. "Generalized Theory of Brake Noise." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 207, no. 3 (1993): 195–202. http://dx.doi.org/10.1243/pime_proc_1993_207_180_02.

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Eliminating brake noises generated during brake application is an important issue in the improvement of comfort in vehicles. Brake noises (frequency 1–15 kHz) are often called brake squeal. On the other hand, brake noises (frequency 200–500 Hz) are often called brake groan noise. The studies on drum brake squeal, disc brake squeal and disc brake groan noise have already been presented in references (2), (3) and (4), where theoretical analyses on these brake noises were described. This paper shows that the equations of motion are represented by the same type of equations. Based on these analyse

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20

Liu, Jian-Guo, Mostafa Eslami, Hadi Rezazadeh, and Mohammad Mirzazadeh. "The dynamical behavior of mixed type lump solutions on the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation." International Journal of Nonlinear Sciences and Numerical Simulation 21, no. 7-8 (2020): 661–65. http://dx.doi.org/10.1515/ijnsns-2018-0373.

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AbstractThis paper studies the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq (KPB) equation via the Hirota’s bilinear form and symbolic computation. Mixed type lump solutions are presented, which include rational function, trigonometric function and hyperbolic function. The propagation and the dynamical behaviors of these mixed type of lump solutions are shown by some three-dimensional and contour plots.

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21

Wang, Fang, Ling Xue, Kun Zhao, and Xiaoming Zheng. "Global stabilization and boundary control of generalized Fisher/KPP equation and application to diffusive SIS model." Journal of Differential Equations 275 (February 2021): 391–417. http://dx.doi.org/10.1016/j.jde.2020.11.031.

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22

Feng, CAO, and SHEN WenXian. "Stability and uniqueness of generalized traveling waves of lattice Fisher-KPP equations in heterogeneous media." SCIENTIA SINICA Mathematica 47, no. 12 (2017): 1787–808. http://dx.doi.org/10.1360/n012017-00116.

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23

Kataoka, Takeshi, and Michihisa Tsutahara. "1113 Instability of solitary wave solutions in the generalized KP equation." Proceedings of the Fluids engineering conference 2001 (2001): 157. http://dx.doi.org/10.1299/jsmefed.2001.157.

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24

Liang, Xing, and Tao Zhou. "Spreading speeds of KPP-type lattice systems in heterogeneous media." Communications in Contemporary Mathematics 22, no. 01 (2018): 1850083. http://dx.doi.org/10.1142/s0219199718500839.

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In this paper, we investigated spreading properties of the solutions of the Kolmogorov–Petrovsky–Piskunov–type (KPP-type) lattice system [Formula: see text] Motivated by the work in [H. Berestycki and G. Nadin, Spreading speeds for one-dimensional monostable reaction–diffusion equations, J. Math. Phys. 53(11) (2012) 115619, 23 pp.], we develop some new discrete Harnack-type estimates and homogenization techniques for the lattice system [Formula: see text] to construct two speeds [Formula: see text] such that [Formula: see text] for any [Formula: see text], and [Formula: see text] for any [Form

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25

Tseng, Chaw-Wu, Jr-Yi Shen, Hyunchul Kim, and I. Y. Shen. "A Unified Approach to Analyze Vibration of Axisymmetric Rotating Structures with Flexible Stationary Parts." Journal of Vibration and Acoustics 127, no. 2 (2005): 125–38. http://dx.doi.org/10.1115/1.1857917.

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This paper demonstrates a unified approach to analyze linear vibration of rotating machines with arbitrary geometry and complexity. In this formulation, the rotating machine consists of three components: a rotating part (rotor), a stationary part (stator or housing), and multiple bearings. The rotor is assumed axisymmetric and spinning at constant speed. Moreover, the rotor and the housing have arbitrary geometry and complexity. The bearings connecting the rotor and housing could be rolling-element bearings or hydrodynamic bearings. The paper consists of three major sections: mathematical mode

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26

Lunde. "FiniteAmplitude Power Budget Equations for Acoustic Fish Abundance Estimation." Journal of Marine Science and Engineering 8, no. 2 (2020): 98. http://dx.doi.org/10.3390/jmse8020098.

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Finiteamplitude (nonlinear) sound propagation effects in seawater may cause measurement errors in fish and zooplankton abundance estimation and species identification for accessible echo sounder transmit electrical power levels and operating frequencies of about 100 kHz and higher. A sufficiently validated framework to quantify, control, and compensate for such errors in these applications is not available. The conventional power budget equations in fisheries acoustics are valid for smallamplitude signals only. The study aims to fill this “gap”. The conventional theory is generalized to accoun

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27

Reed, Nicholas S., Jennifer A. Deal, Matthew G. Huddle, et al. "Pilot Study of Audiometric Patterns in Fuchs Corneal Dystrophy." Journal of Speech, Language, and Hearing Research 61, no. 10 (2018): 2604–8. http://dx.doi.org/10.1044/2018_jslhr-h-18-0088.

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Purpose Although Fuchs corneal dystrophy (FCD) is considered an eye disease, a small number of studies have identified genes related to both FCD and hearing loss. Whether FCD is related to hearing loss is unknown. Method This is a case–control study comparing pure-tone audiometry hearing thresholds in 180 patients with FCD from a hospital-based ophthalmology clinic with 2,575 population-based controls from a nationally representative survey, the National Health and Nutrition Examination Survey (from cycles 2005-06 and 2009-10). Generalized estimating equations were used to compare mean better-

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28

Manggo, Beatrix Antoneta. "Influence Of HIV/AIDS Policy Implementation Factors on The Performance Of Aids Commission (KPA) In Nabire Regency." Advances in Social Sciences Research Journal 8, no. 4 (2021): 374–411. http://dx.doi.org/10.14738/assrj.84.9977.

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Papua Province comes first nationally with the highest number of HIV/AIDS cases in Indonesia. Meanwhile at the provincial level, Nabire Regency has the highest number of HIV and AIDS cases. The HIV epidemic in Nabire Regency is classified as a generalized epidemic with the highest prevalence of cases among women, which is said to be the highest in Papua Province. The problem of HIV / AIDS is not only a health problem, but also a social problem that needs to be addressed. This has led to the formulation of public policies in the form of HIV / AIDS prevention policies. The establishment of AIDS

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29

Holen, Åsne S., Marthe Larsen, Nataliia Moshina, et al. "Visualization of the Nipple in Profile: Does It Really Affect Selected Outcomes in Organized Mammographic Screening?" Journal of Breast Imaging 3, no. 4 (2021): 427–37. http://dx.doi.org/10.1093/jbi/wbab042.

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Abstract Objective To investigate whether having the nipple imaged in profile was associated with breast characteristics or compression parameters, and whether it affected selected outcomes in screening with standard digital mammography or digital breast tomosynthesis. Methods In this IRB-approved retrospective study, results from 87 450 examinations (174 900 breasts) performed as part of BreastScreen Norway, 2016–2019, were compared by nipple in profile status and screening technique using descriptive statistics and generalized estimating equations. Unadjusted and adjusted odds ratios with 95

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30

Lorek, A., and N. Wagner. "Supercooled interfacial water in fine-grained soils probed by dielectric spectroscopy." Cryosphere 7, no. 6 (2013): 1839–55. http://dx.doi.org/10.5194/tc-7-1839-2013.

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Abstract. Water substantially affects nearly all physical, chemical and biological processes on the Earth. Recent Mars observations as well as laboratory investigations suggest that water is a key factor of current physical and chemical processes on the Martian surface, e.g. rheological phenomena. Therefore it is of particular interest to get information about the liquid-like state of water on Martian analogue soils for temperatures below 0 °C. To this end, a parallel plate capacitor has been developed to obtain isothermal dielectric spectra of fine-grained soils in the frequency range from 10

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31

Lorek, A., and N. Wagner. "Supercooled interfacial water in fine grained soils probed by dielectric spectroscopy." Cryosphere Discussions 7, no. 2 (2013): 1441–93. http://dx.doi.org/10.5194/tcd-7-1441-2013.

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Abstract. Water as thermodynamic state parameter affects nearly all physical, chemical and biological processes on the earth. Recent Mars observations as well as laboratory investigations suggest that water is also a key factor of current physical and chemical processes on the martian surface, e.g. rheological phenomena. Therefore it is of particular interest to get information about the liquid like state of water on martian analog soils in the temperature range below 0 °C. In this context, a parallel plate capacitor has been developed to obtain isothermal dielectric spectra of fine grained so

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32

BAILLEUL, ISMAËL, and FRÉDÉRIC BERNICOT. "HIGH ORDER PARACONTROLLED CALCULUS." Forum of Mathematics, Sigma 7 (2019). http://dx.doi.org/10.1017/fms.2019.44.

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We develop in this work a general version of paracontrolled calculus that allows to treat analytically within this paradigm a whole class of singular partial differential equations with the same efficiency as regularity structures. This work deals with the analytic side of the story and offers a toolkit for the study of such equations, under the form of a number of continuity results for some operators, while emphasizing the simple and systematic mechanics of computations within paracontrolled calculus, via the introduction of two model operations $\mathsf{E}$ and $\mathsf{F}$ . We illustrate

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33

Niggemann, Oliver, and Udo Seifert. "Numerical Study of the Thermodynamic Uncertainty Relation for the KPZ-Equation." Journal of Statistical Physics 182, no. 2 (2021). http://dx.doi.org/10.1007/s10955-020-02692-z.

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AbstractA general framework for the field-theoretic thermodynamic uncertainty relation was recently proposed and illustrated with the $$(1+1)$$ ( 1 + 1 ) dimensional Kardar–Parisi–Zhang equation. In the present paper, the analytical results obtained there in the weak coupling limit are tested via a direct numerical simulation of the KPZ equation with good agreement. The accuracy of the numerical results varies with the respective choice of discretization of the KPZ non-linearity. Whereas the numerical simulations strongly support the analytical predictions, an inherent limitation to the accura

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34

"Approximate travelling waves for generalized KPP equations and classical mechanics." Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 446, no. 1928 (1994): 529–54. http://dx.doi.org/10.1098/rspa.1994.0119.

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We consider the existence of approximate travelling waves of generalized KPP equations in which the initial distribution can depend on a small parameter μ which in the limit μ → 0 is the sum of some δ -functions or a step function. Using the method of Elworthy & Truman (1982) we construct a classical path which is the backward flow of a classical newtonian mechanics with given initial position and velocity before the time at which the caustic appears. By the Feynman–Kac formula and the Maruyama–Girsanov–Cameron–Martin transformation we obtain an identity from which, with a late caustic ass

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35

Wang, Ning, Zhi-Cheng Wang, and Xiongxiong Bao. "Transition waves for lattice Fisher-KPP equations with time and space dependence." Proceedings of the Royal Society of Edinburgh: Section A Mathematics, April 28, 2020, 1–28. http://dx.doi.org/10.1017/prm.2020.31.

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Abstract This paper is concerned with the existence results for generalized transition waves of space periodic and time heterogeneous lattice Fisher-KPP equations. By constructing appropriate subsolutions and supersolutions, we show that there is a critical wave speed such that a transition wave solution exists as soon as the least mean of wave speed is above this critical speed. Moreover, the critical speed we construct is proved to be minimal in some particular cases, such as space-time periodic or space independent.

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