Results 71 to 80 of about 1,227,495 (167)
Ginzburg-Landau equations and their generalizations
, 2022 The Ginzburg-Landau equations were proposed in the superconductivity theory to describe mathematically the intermediate state of superconductors in which the normal conductivity is mixed with the superconductivity.
Sergeev, Armen
core
Complex Ginzburg-Landau equations with a delayed nonlocal perturbation
Electronic Journal of Differential Equations, 2020 We consider an initial boundary value problem of the complex Ginzburg-Landau equation with some delayed feedback terms proposed for the control of chemical turbulence in reaction diffusion systems. We consider the equation in a bounded domain $\Omega\
Jesus Ildefonso Diaz +3 more
doaj
Numerical studies of superfluids and superconductors [PDF]
, 2001 In this thesis we demonstrate the power of the Gross-Pitaevskii and the time-dependent Ginzburg-Landau equations by numerically solving them for various fundamental problems related to superfluidity and superconductivity.
Winiecki, Thomas, Winiecki, T.
core
Numerical simulation of Ginzburg-Landau-Langevin equations [PDF]
, 2007 This work is concerned with non-equilibrium phenomena, with focus on the numerical simulation of the relaxation of non-conserved order parameters described by stochastic kinetic equations known as Ginzburg-Landau-Langevin (GLL) equations.
Cassol-Seewald, N. C. +5 more
core +1 more source
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
doaj +1 more source
Global solutions for 2D coupled Burgers-complex-Ginzburg-Landau equations
Electronic Journal of Differential Equations, 2015 In this article, we study the periodic initial-value problem of the 2D coupled Burgers-complex-Ginzburg-Landau (Burgers-CGL) equations. Applying the Brezis-Gallout inequality which is available in 2D case and establishing some prior estimates, we ...
Hongjun Gao, Lin Lin, Yajun Chu
doaj
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
doaj +1 more source
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
doaj
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
doaj +1 more source
Uniform regularity for a mathematical model in superfluidity
Electronic Journal of Differential Equations, 2018 We prove uniform-in-$\mu$ estimates for a mathematical model in superfluidity. Consequently, the limit as $\mu\to0$ can be established.
Jishan Fan, Bessem Samet, Yong Zhou
doaj