An initial-boundary value problem for the Ginzburg-Landau equation

DOI10.1016/0893-9659(92)90058-HzbMath0769.35049OpenAlexW2056437053MaRDI QIDQ1195695

Charles Bu

Publication date: 5 January 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(92)90058-h

zbMATH Keywords

Galerkin methodcontraction semigroupfinite domainexistence and uniqueness of the weak solutionHill-Yosida theorem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (7)

Nonhomogeneous boundary value problems for the complex Ginzburg–Landau equation posed on a finite interval ⋮ Sharper global existence for the generalized 1D nonhomogeneous Ginzburg--Landau equation ⋮ A Dirichlet boundary value problem for a generalized Ginzburg-Landau equation ⋮ The generalized Ginzburg-Landau equation: posed in a quarter plane ⋮ Null controllability of the complex Ginzburg-Landau equation ⋮ Stochastic Ginzburg-Landau equation on a half-line with Neumann type white-noise boundary conditions ⋮ A Neumann boundary value problem for a generalized Ginzburg-Landau equation.

Cites Work

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• A Stability Criterion for Envelope Equations
• Finite bandwidth, finite amplitude convection
• A non-linear instability theory for a wave system in plane Poiseuille flow
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