Weak solutions to the two-dimensional derivative Ginzburg-Landau equation

DOI10.1007/BF02677390zbMath0934.35065MaRDI QIDQ1806158

Bixiang Wang, Bo-ling Guo

Publication date: 13 April 2000

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodapproximate solutionglobal weak solutionenergy inequality

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

Recurrent solutions of the derivative Ginzburg–Landau equation with boundary forces

Cites Work

• On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation
• Localization and approximation of attractors for the Ginzburg-Landau equation
• Infinite-dimensional dynamical systems in mechanics and physics
• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Weak and strong solutions of the complex Ginzburg-Landau equation
• Finite dimensional behaviour for the derivative Ginzburg-Landau equation in two spatial dimensions
• Low-dimensional behaviour in the complex Ginzburg-Landau equation
• Global spatially periodic solutions to the Ginzburg–Landau equation
• On the generation of waves by wind
• Exact solutions of the multidimensional derivative nonlinear Schrodinger equation for many-body systems of criticality
• Global existence theory for a generalized Ginzburg-Landau equation

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