Relevant bibliographies by topics / Coupled evolution equations

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  2. Dissertations / Theses
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Academic literature on the topic 'Coupled evolution equations'

Author: Grafiati
Published: 14 September 2024
Last updated: 31 July 2025

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Journal articles on the topic "Coupled evolution equations"

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Maruszewski, Bogdan. "Coupled evolution equations of deformable semiconductors." International Journal of Engineering Science 25, no. 2 (1987): 145–53. http://dx.doi.org/10.1016/0020-7225(87)90002-4.

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Yusufoğlu, Elcin, and Ahmet Bekir. "Exact solutions of coupled nonlinear evolution equations." Chaos, Solitons & Fractals 37, no. 3 (2008): 842–48. http://dx.doi.org/10.1016/j.chaos.2006.09.074.

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Nakagiri, Shin-ichi, and Jun-hong Ha. "COUPLED SINE-GORDON EQUATIONS AS NONLINEAR SECOND ORDER EVOLUTION EQUATIONS." Taiwanese Journal of Mathematics 5, no. 2 (2001): 297–315. http://dx.doi.org/10.11650/twjm/1500407338.

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Zhao, Dan, and Zhaqilao. "Darboux transformation approach for two new coupled nonlinear evolution equations." Modern Physics Letters B 34, no. 01 (2019): 2050004. http://dx.doi.org/10.1142/s0217984920500049.

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A new coupled Burgers equation and a new coupled KdV equation which are associated with [Formula: see text] matrix spectial problem are investigated for complete integrability and covariant property. For integrability, Lax pair and conservation laws of the two new coupled equations with four potentials are established. For covariant property, Darboux transformation (DT) is used to construct explicit solutions of the two new coupled equations.
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Khan, K., and M. A. Akbar. "Solitary Wave Solutions of Some Coupled Nonlinear Evolution Equations." Journal of Scientific Research 6, no. 2 (2014): 273–84. http://dx.doi.org/10.3329/jsr.v6i2.16671.

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In this article, the modified simple equation (MSE) method has been executed to find the traveling wave solutions of the coupled (1+1)-dimensional Broer-Kaup (BK) equations and the dispersive long wave (DLW) equations. The efficiency of the method for finding exact solutions has been demonstrated. It has been shown that the method is direct, effective and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics. Moreover, this procedure reduces the large volume of calculations. Keywords: MSE method; NLEE; BK equations; DLW equations; Solitary wave solutions. © 2
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Malfliet, W. "Travelling-wave solutions of coupled nonlinear evolution equations." Mathematics and Computers in Simulation 62, no. 1-2 (2003): 101–8. http://dx.doi.org/10.1016/s0378-4754(02)00182-9.

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Alabau, F., P. Cannarsa, and V. Komornik. "Indirect internal stabilization of weakly coupled evolution equations." Journal of Evolution Equations 2, no. 2 (2002): 127–50. http://dx.doi.org/10.1007/s00028-002-8083-0.

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RYDER, E., and D. F. PARKER. "Coupled evolution equations for axially inhomogeneous optical fibres." IMA Journal of Applied Mathematics 49, no. 3 (1992): 293–309. http://dx.doi.org/10.1093/imamat/49.3.293.

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Khan, Kamruzzaman, and M. Ali Akbar. "Traveling Wave Solutions of Some Coupled Nonlinear Evolution Equations." ISRN Mathematical Physics 2013 (May 20, 2013): 1–8. http://dx.doi.org/10.1155/2013/685736.

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The modified simple equation (MSE) method is executed to find the traveling wave solutions for the coupled Konno-Oono equations and the variant Boussinesq equations. The efficiency of this method for finding exact solutions and traveling wave solutions has been demonstrated. It has been shown that the proposed method is direct, effective, and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics. Moreover, this procedure reduces the large volume of calculations.
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Hassaballa, Abaker A., Fathea M. O. Birkea, Ahmed M. A. Adam, et al. "Multiple and Singular Soliton Solutions for Space–Time Fractional Coupled Modified Korteweg–De Vries Equations." International Journal of Analysis and Applications 22 (April 22, 2024): 68. http://dx.doi.org/10.28924/2291-8639-22-2024-68.

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The focus of this paper is on the nonlinear coupled evolution equations, specifically within the context of the fractional coupled modified Korteweg–de Vries (mKdV) equation, employing the conformable fractional derivative (CFD) approach. The primary objective of this paper is to thoroughly investigate the applicability of the Hirota bilinear method for deriving analytical solutions to the fractional mKdV equations. A range of exact analytical solutions for the fractional coupled mKdV equations is obtained. The findings in general indicate that the Hirota bilinear method is an effective approa
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Dissertations / Theses on the topic "Coupled evolution equations"

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Pauletti, Miguel Sebastian. "Parametric AFEM for geometric evolution equations and coupled fluid-membrane interaction." College Park, Md.: University of Maryland, 2008. http://hdl.handle.net/1903/8603.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2008.<br>Thesis research directed by: Dept. of Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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Brand, Christopher [Verfasser], and Georg [Akademischer Betreuer] Dolzmann. "Coupled Evolution Equations for Immersions of Closed Manifolds and Vector Fields / Christopher Brand ; Betreuer: Georg Dolzmann." Regensburg : Universitätsbibliothek Regensburg, 2019. http://d-nb.info/1185758143/34.

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Trad, Farah. "Stability of some hyperbolic systems with different types of controls under weak geometric conditions." Electronic Thesis or Diss., Valenciennes, Université Polytechnique Hauts-de-France, 2024. http://www.theses.fr/2024UPHF0015.

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Le but de cette thèse est d'étudier la stabilisation de certaines équations d'évolution du second ordre. Tout d’abord, nous nous concentrons sur l’étude de la stabilisation d’équations d’évolution du second ordre de type hyperbolique localement faiblement couplées, caractérisées par un amortissement direct dans une seule des deux équations. Comme de tels systèmes ne sont pas exponentiellement stables, nous souhaitons déterminer les taux de décroissance de l’énergie polynomiale. Nos principales contributions concernent les propriétés abstraites de stabilité forte et polynomiale, qui sont dérivé
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Lienstromberg, Christina. "On Microelectromechanical Systems with General Permittivity." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLN007/document.

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Dans le cadre de la thèse des modèles physico-mathématiques pour des microsystèmes électromécaniques avec une permittivité générale sont développés et analysés par des méthodes mathématiques modernes du domaine des équations aux dérivées partielles. En particulier ces systèmes sont à frontière libre et pour conséquence difficiles à traiter. Des méthodes numériques ont été développées pour valider les résultats analytiques obtenus<br>In the framework of this thesis physical/mathematical models for microelectromechanical systems with general permittivity have been developed and analysed with mod
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Petraco, Nicholas Dominick Koslap. "Benchmark open-shell coupled cluster studies and the evolution of nonvariational solutions to the Schrödinger equation." 2002. http://purl.galileo.usg.edu/uga%5Fetd/petraco%5Fnicholas%5Fd%5F200205%5Fphd.

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Thesis (Ph. D.)--University of Georgia, 2002.<br>Directed by Henary F. Schaefer, III. Includes articles published in, and an article submitted to The journal of chemical physics. Includes bibliographical references.
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Book chapters on the topic "Coupled evolution equations"

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Crisan, Dan, and Prince Romeo Mensah. "Blow-Up of Strong Solutions of the Thermal Quasi-Geostrophic Equation." In Mathematics of Planet Earth. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-18988-3_1.

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AbstractThe Thermal Quasi-Geostrophic (TQG) equation is a coupled system of equations that governs the evolution of the buoyancy and the potential vorticity of a fluid. It has a local in time solution as proved in Crisan et al. (Theoretical and computational analysis of the thermal quasi-geostrophic model. Preprint arXiv:2106.14850, 2021). In this paper, we give a criterion for the blow-up of solutions to the Thermal Quasi-Geostrophic equation, in the spirit of the classical Beale–Kato–Majda blow-up criterion (cf. Beale et al., Comm. Math. Phys. 94(1), 61–66, 1984) for the solution of the Eule
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Saha Ray, Santanu. "New Exact Traveling Wave Solutions of the Coupled Schrödinger–Boussinesq Equations and Tzitzéica-Type Evolution Equations." In Nonlinear Differential Equations in Physics. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-1656-6_6.

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El Allaoui, Abdelati, Said Melliani, JinRong Wang, Youssef Allaoui, and Lalla Saadia Chadli. "A Generalized Coupled System of Impulsive Integro-Differential Evolution Equations with Mutual Boundary Values." In Lecture Notes in Networks and Systems. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-12416-7_1.

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Takabe, Hideaki. "Introduction." In Springer Series in Plasma Science and Technology. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-45473-8_1.

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AbstractA brief overview of the fluid model to describe most of the plasmas is given. Assuming the velocity distributions of electrons and ions are shifted Maxwellian distribution, plasmas can be described with fluid approximation regardless they are collisional or collisionless. The time evolution of laser plasmas is described with the fluid model with non-ideal equation of state, non-local electron transport, radiation transport, and so on. Modeling atomic state of plasma, effective charge, spectral opacity, and emissivity are calculated to couple with the energy equation of the electron flu
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Zheng, Songmu. "Decay of Solutions to Linear Evolution Equations." In Nonlinear parabolic equations and hyperbolic-parabolic coupled systems. Chapman and Hall/CRC, 2020. http://dx.doi.org/10.1201/9780429154225-2.

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Nitzan, Abraham. "The quantum mechanical density operator and its time evolution." In Chemical Dynamics in Condensed Phases. Oxford University PressOxford, 2024. http://dx.doi.org/10.1093/9780191947971.003.0010.

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Abstract This chapter introduces the density operator and the Liouville equation and outlines how reduced dynamical description of open quantum systems naturally leads to the appearance of relaxation processes. (1) The density operator and the quantum Liouville equation (the density matrix for a pure system, statistical mixtures, representations, coherences, thermodynamic equilibrium). (2) An example: The time evolution of a two-level system in the density matrix formalism. (3) Reduced descriptions. (4) Time evolution equations for reduced density operators: The quantum master equation (projec
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"General Relativity Evolution of the Photons in Dielectrics." In Quantum and Optical Dynamics of Matter for Nanotechnology. IGI Global, 2014. http://dx.doi.org/10.4018/978-1-4666-4687-2.ch010.

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Basic Einstein general relativity equations are linearized and coupled with Maxwell electromagnetic field equations to produce local gravitationally corrected Minkowsky space metrics; fundamental application on gravity action of an intense laser beam upon a weaker parallel one in dielectrics is undertaken towards evaluating of the space deviation phase shift and confirming the general equivalence principle of inertia for phonons in nanomaterials.
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Carretero-González, R., D. J. Frantzeskakis, and P. G. Kevrekidis. "NLS to KdV Connection – Dark Solitons as KdV Solitons." In Nonlinear Waves & Hamiltonian Systems. Oxford University PressOxford, 2024. http://dx.doi.org/10.1093/oso/9780192843234.003.0019.

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Abstract In this chapter we establish an asymptotic connection between the defocusing NLS and the KdV. We employ multiscale expansion techniques to derive the KdV equation from the defocusing NLS equation. Key to our study is the use of the Madelung transformation, which reduces the NLS to a hydrodynamic form, namely to a set of coupled PDEs corresponding to the continuity equation and Euler equation. Then, asymptotic analysis is used to derive evolution equations describing nonlinear waves on top of a plane wave background. These models turn out to be a Boussinesq equation in the intermediate
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Gerbeau, J. F., and C. Le Bris. "Mathematical Study of a Coupled System Arising in Magnetohydrodynamics." In Evolution Equations and Their Applications in Physical and Life Sciences. CRC Press, 2019. http://dx.doi.org/10.1201/9780429187810-30.

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Carretero-González, R., D. J. Frantzeskakis, and P. G. Kevrekidis. "Variational Approximation for the NLS and GP Equations." In Nonlinear Waves & Hamiltonian Systems. Oxford University PressOxford, 2024. http://dx.doi.org/10.1093/oso/9780192843234.003.0025.

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Abstract In this chapter we present the variational approximation (VA) methodology to find approximate solutions of the NLS and GP PDEs. The VA method relies on projecting the dynamics on a suitable solution ansatz with time-dependent shape parameters. This allows to effectively reduce the infinite-dimensional evolution of the original PDE into a low-dimensional space spanned by the shape ansatz. This reduction typically yields a set of coupled ODEs for the shape parameters. We also show that by relying on perturbation theory within the VA approach, we are able to include correction terms in t
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Conference papers on the topic "Coupled evolution equations"

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Chegaar, Mouna. "Mathematical Analysis of Contact Problems in Nonlinear Electro-Viscoelastic Materials with Damage and Electric Interactions." In 10th International Scientific Conference on Advances in Mechanical Engineering. Trans Tech Publications Ltd, 2025. https://doi.org/10.4028/p-il89dn.

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This paper investigates a problem involving an electro-viscoelastic body with contact damage and friction, modeled through a sub differential condition. By establishing key assumptions on the data, we derive a variational formulation that captures the coupled electrical and mechanical fields, along with damage evolution. The main result demonstrates the existence and uniqueness of a weak solution using a fixed-point approach and a solvability theorem for first-order evolution equations. This work provides a foundational analytical framework for studying contact problems in viscoelastic materia
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Esteban, J. Matthew, Mark E. Orazem, Kevin J. Kennelley, and Ross M. Degerstedt. "Mathematical Models for Cathodic Protection of an Underground Pipeline with Coating Holidays." In CORROSION 1995. NACE International, 1995. https://doi.org/10.5006/c1995-95347.

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Abstract Mathematical models were developed that can be used to predict the cathodic protection (CP) requirements for coated pipelines protected by parallel anodes. This work was motivated by the need to estimate the current and potential distribution on the pipe when anodes are placed near the pipeline or when discrete coating holidays expose bare steel. The mathematical model solves Laplace's equation for potential with boundary conditions appropriate for the pipe being protected, the anode, and any region through which current does not pass, such as the edge of a thaw bulb. The current dens
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Wang, Ya-Guang. "A new approach to study hyperbolic-parabolic coupled systems." In Evolution Equations Propagation Phenomena - Global Existence - Influence of Non-Linearities. Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc60-0-18.

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Romeo, Francesco, and Achille Paolone. "Propagation Properties of Three-Coupled Periodic Mechanical Systems." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85617.

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General three-coupled periodic systems are dealt with by means of transfer matrices of single units. The solutions of the associated characteristic equation are discussed in terms of invariant quantities by exploiting the well-known reversibility of its coefficients. An exhaustive description of the free wave propagation patterns is given on the invariants’ space where propagation domains with qualitatively different character are identified. Afterwards, two three-coupled periodic mechanical models are considered: pipes and truss beams. A nonlinear mapping from the invariants’ space to the phy
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Leftheriotis, Georgios A., and Athanassios A. Dimas. "Coupled Simulation of Oscillatory Flow, Sediment Transport and Morphology Evolution of Ripples Based on the Immersed Boundary Method." In ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/omae2014-24006.

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In the present study, numerical simulations of oscillatory flow over a rippled bottom, coupled with bed and suspended sediment transport, as well as the resulting morphology evolution, are performed. The simulations are based on the numerical solution of the Navier-Stokes equations and the advection-diffusion equation for the suspended load, while empirical formulas are used for the bed load. The bed morphological evolution is obtained by the numerical solution of the conservation of sediment mass equation. A fractional time-step scheme is used for the temporal discretization, while finite dif
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Schrade, David, Bai-Xiang Xu, Ralf Mu¨ller, and Dietmar Gross. "On Phase Field Modeling of Ferroelectrics: Parameter Identification and Verification." In ASME 2008 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2008. http://dx.doi.org/10.1115/smasis2008-411.

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This contribution introduces a thermodynamically consistent, fully electro-mechanically coupled micro-mechanical model for ferroelectric materials. Adopting a phase field concept, in which the spontaneous polarization is used as order parameter, a Ginzburg-Landau type theory is formulated for the evolution of the order parameter. The equations are discretized within the scope of the Finite Element Method, and implicit time integration is used to solve the non-linear evolution equation. Examples illustrate the physical meaning of phase field parameters and give an application to multi-axial swi
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de Freitas Rachid, Felipe Bastos, José Henrique Carneiro de Araujo, and Renan Martins Baptista. "A Fully-Coupled Transient Model for Predicting Interface Contamination in Product Pipelines." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/htd-24180.

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Abstract This work presents a coupled fluid transient model to describe the mixing phenomenon arising in batch transfers in petroleum pipelines. The concentration evolution described by the dispersion of matter at the products’ interface is properly taken into account on the mass and momentum balance equations for the mixture as a whole. The resulting mathematical problem is formed by a system of non-linear partial differential equations which is solved by means of an operator splitting technique, combined with a Glimm’s scheme and predictor-corrector method. The influence of stopping the line
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Aceves, A. B., C. De Anglis, J. V. Moloney, and S. Wabnitz. "Counterpropagating waves in periodic nonlinear structures." In OSA Annual Meeting. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oam.1992.mww3.

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In this paper the authors will present both numerical and analytical results on the coupled mode equations that describe the evolution of counterpropagating beams in periodic waveguides. These coupled mode equations are a generalization, by an addition of one transverse diffraction term, of the equations that describe wave trains in a fiber filter whose grating is of the order of the wavelength of light. We will first show how the well known gap soliton solutions of the fiber filter extend to the planar waveguide structure. These solutions represent beams that are cw in the transverse directio
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Lehmann, B., D. Kraus, and A. Kummert. "Coupled curve evolution equations for ternary images in sidescan-sonar images guided by Lamé curves for object recognition." In 2012 19th IEEE International Conference on Image Processing (ICIP 2012). IEEE, 2012. http://dx.doi.org/10.1109/icip.2012.6467419.

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Tao, Sha, and Benxin Wu. "Early-Stage Evolution of Electrons Emitted From Metal Target Surface During Ultrashort Laser Ablation in Vacuum." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-63258.

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The early-stage evolution of electrons emitted from a metal target surface during ultrashort laser ablation in vacuum has been studied using a physics-based model. This kind of research work has been rarely reported in literature. In the model, the target heat transfer process is simulated by solving the two-temperature heat transfer equations, based on which the photoemission and thermionic emission of electrons from the target surface are calculated. The early-stage evolution of emitted electrons is described by solving the electron mass, momentum, and energy conservation equations, coupled
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Reports on the topic "Coupled evolution equations"

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Zemach, Charles, and Susan Kurien. Notes from 1999 on computational algorithm of the Local Wave-Vector (LWV) model for the dynamical evolution of the second-rank velocity correlation tensor starting from the mean-flow-coupled Navier-Stokes equations. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1332214.

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