The Ginzburg-Landau equation with nonzero Neumann boundary data

DOI10.1016/0362-546X(94)90179-1zbMath0808.35132OpenAlexW1972910733MaRDI QIDQ4312107

Charles Bu

Publication date: 5 March 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90179-1

zbMATH Keywords

Ginzburg-Landau equationGalerkin's methodunique weak solutionamplitude evolution of instability waves in fluid dynamicsnonzero Neumann data

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

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 ⋮ A Neumann boundary value problem for a generalized Ginzburg-Landau equation.

Cites Work

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• The Korteweg-de Vries equation in a quarter plane, continuous dependence results
• Semigroups of linear operators and applications to partial differential equations
• Dimension of the attractors associated to the Ginzburg-Landau partial differential equation
• An initial-boundary value problem for the nonlinear Schrödinger equation
• The Korteweg–de Vries Equation, Posed in a Quarter-Plane
• On the forced nonlinear Schrödinger equation
• Solution of the forced nonlinear schrödinger (nls) equation using pde techniques
• A Stability Criterion for Envelope Equations
• On weli-posedness of the forced nonlinear schrödinger equation
• Finite bandwidth, finite amplitude convection

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