Results 101 to 110 of about 6,114 (231)
Bifurcation Analysis of a Coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-Type Model
Journal of Applied Mathematics, 2013 We study the bifurcation and stability of trivial stationary solution (0,0) of coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-type equations (KS-GL) on a bounded domain (0,L) with Neumann's boundary conditions.
Lei Shi
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Pattern formation and travelling waves in reaction-diffusion equations [PDF]
This thesis is about pattern formation in reaction - diffusion equations, particularly Turing patterns and travelling waves. In chapter one we concentrate on Turing patterns.
Fullwood, Timothy Brent
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Asymptotic behaviour of the time-dependent Ginzburg-Landau equations of superconductivity
, 1999 In this paper, we establish the global fast dynamics for the time-dependent Ginzburg-Landau equations of superconductivity. We show the squeezing property and the existence of finite-dimensional exponential attractors for the system. In addition we prove
Anibal Rodriguez-bernal +5 more
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, 2023 This paper is addressed to establishing controllability and observability for some forward linear stochastic complex degenerate/singular Ginzburg-Landau equations. It is sufficient to establish appropriate observability inequalities for the corresponding
Qingmei Zhao, Yongyi Yu
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Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise
Abstract and Applied Analysis, 2014 Long time behavior of stochastic Ginzburg-Landau equations with nonautonomous deterministic external forces, dispersion coefficients, and nonautonomous perturbations is studied. The domain is taken as a bounded interval I in R.
Yangrong Li, Hongyong Cui
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An Equivalence Relation For The Ginzburg-Landau Equations Of Superconductivity
, 1996 Gauge invariance is used to establish an equivalence relation between solutions of the time-independent and time-dependent Ginzburg-Landau equations that describe the same physical state of a superconductor. The equivalence relation shows how equilibrium
Hans G. Kaper, Peter Takác
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Nonminimal solutions to the Ginzburg-Landau equations on surfaces
, 2022 We prove the existence of novel, nonminimal and irreducible solutions to the (self-dual) Ginzburg-Landau equations on closed surfaces. To our knowledge these are the first such examples on nontrivial line bundles, that is, with nonzero total magnetic ...
Nagy, Ákos, Oliveira, Gonçalo
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Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems
Electronic Journal of Differential Equations, 2015 Our aim is to prove the existence and uniqueness of solutions for one-dimensional Cahn-Hilliard and Allen-Cahn type equations based on a modification of the Ginzburg-Landau free energy proposed in [8].
Ahmad Makki, Alain Miranville
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Advances in Difference Equations, 2019 In this paper, the coupled space fractional Ginzburg–Landau equations are investigated numerically. A linearized semi-implicit difference scheme is proposed.
Yuan Xu, Jiali Zeng, Shuanggui Hu
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A Bound Preserving Energy Stable Scheme for a Nonlocal Cahn–Hilliard Equation
Comptes Rendus. MécaniqueWe present a finite-volume based numerical scheme for a nonlocal Cahn–Hilliard equation which combines ideas from recent numerical schemes for gradient flow equations and nonlocal Cahn–Hilliard equations.
Lyons, Rainey +2 more
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