Well-posedness and inviscid limit behavior of solution for the generalized 1D Ginzburg-Landau equation

DOI10.1016/J.MATPUR.2009.04.003zbMath1176.35003OpenAlexW2101843089MaRDI QIDQ923873

Zhaohui Huo, Yueling Jia

Publication date: 24 July 2009

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2009.04.003

zbMATH Keywords

well-posednessderivative nonlinear Schrödinger equationinviscid limit behaviorgeneralized 1D Ginzburg-Landau equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Nonhomogeneous boundary value problems for the complex Ginzburg–Landau equation posed on a finite interval ⋮ Inviscid limit for the derivative Ginzburg-Landau equation with small data in modulation and Sobolev spaces ⋮ Inviscid limit behavior of solution for the multi-dimensional derivative complex Ginzburg-Landau equation ⋮ Inviscid limit behavior of the solution to the one-dimensional generalized Ginzburg-Landau equation ⋮ Global well-posedness for the generalized 2D Ginzburg-Landau equation

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