Dynamics for the complex Ginzburg-Landau equation on non-cylindrical domains II: The monotone case

DOI10.1063/1.5024214zbMath1428.37075OpenAlexW2787966432MaRDI QIDQ4607690

Feng Zhou, Jiaqi Cheng, Chunyou Sun

Publication date: 14 March 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5024214

zbMATH Keywords

Ginzburg-Landau equationpenalty functionvariational solution

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ginzburg-Landau equations (35Q56) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Well-posedness and dynamics of 2D Navier–Stokes equations with moving boundary ⋮ Continuity of the attractors in time-dependent spaces and applications ⋮ Dynamics for the complex Ginzburg-Landau equation on non-cylindrical domains I: The diffeomorphism case

Cites Work

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• Attractors for infinite-dimensional non-autonomous dynamical systems
• Uniform global attractors for the nonautonomous 3D Navier-Stokes equations
• Dynamics for the complex Ginzburg-Landau equation on non-cylindrical domains I: The diffeomorphism case
• Pullback attractors for a semilinear heat equation on time-varying domains
• Infinite-dimensional dynamical systems in mechanics and physics.
• Parabolic problems with mixed variable lateral conditions: an abstract approach
• Abstract Schrödinger-type differential equations with variable domain
• Global attractors for damped semilinear wave equations.
• On some abstract variable domain hyperbolic differential equations
• Global existence and smoothing effect for the complex Ginzburg-Landau equation with \(p\)-Laplacian
• Global attractors for the complex Ginzburg-Landau equation
• Dynamics for a stochastic reaction-diffusion equation with additive noise
• Problems on time-varying domains: formulation, dynamics, and challenges
• Pullback attractors for a semilinear heat equation in a non-cylindrical domain
• Pullback attractors for asymptotically compact non-autonomous dynamical systems
• A nonlinear wave equation in a dependent domain
• L^p-type pullback attractors for a semilinear heat equation on time-varying domains
• Global existence and stability for a von Karman equations with memory in noncylindrical domains
• Sectorialness of Second Order Elliptic Operators in Divergence Form
• Variational methods for the solution of problems of equilibrium and vibrations
• Variational equations of Schroedinger-type in non-cylindrical domains

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