Results 81 to 90 of about 1,068 (186)
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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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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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
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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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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
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International Journal of Mathematics and Mathematical Sciences, 1995 For nonlinear parabolic evolution equations, it is proved that, under the assumptions of local Lipschitz continuity of nonlinearity and the dissipativity of semiflows, there exist approximate inertial manifolds (AIM) in the energy space and that the ...
Yuncheng You
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Entanglement of Vortices in the Ginzburg–Landau Equations for Superconductors
Communications in Mathematical PhysicsAbstractIn 1988, Nelson proposed that neighboring vortex lines in high-temperature superconductors may become entangled with each other. In this article we construct solutions to the Ginzburg–Landau equations which indeed have this property, as they exhibit entangled vortex lines of arbitrary topological complexity.
Alberto Enciso, Daniel Peralta-Salas
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Released power in a vortex-antivortex pairs annihilation process
Revista UIS Ingenierías, 2020 In this paper, we studied the power dissipation process of a Shubnikov vortex-antivortex pair in a mesoscopic superconducting square sample with a concentric square defect in presence of an oscillatory external magnetic field. The time-dependent Ginzburg-
Cristian Aguirre-Tellez +2 more
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The pollution effect for the Ginzburg-Landau equation.
CoRRIn this paper, we investigate the approximation properties of solutions to the Ginzburg-Landau equation (GLE) in finite element spaces. Special attention is given to how the errors are influenced by coupling the mesh size h and the polynomial degree p of the finite element space to the size of the so-called Ginzburg-Landau material parameter κ.
Chaumont-Frelet, Théophile +1 more
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