The inviscid limit for the complex Ginzburg--Landau equation

DOI10.1016/S0022-247X(03)00143-4zbMath1029.35209OpenAlexW2017888042MaRDI QIDQ1399345

Shuji Machihara, Yoshihisa Nakamura

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00143-4

zbMATH Keywords

nonlinear Schrödinger equationStrichartz estimateinviscid limitcomplex Ginzburg-Landau equation

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (8)

Complex Ginzburg-Landau equations as perturbations of nonlinear Schrödinger equations: a Melnikov approach ⋮ Inviscid limit for the derivative Ginzburg-Landau equation with small data in modulation and Sobolev spaces ⋮ Inviscid limit for the energy-critical complex Ginzburg-Landau equation ⋮ Monotonicity method applied to complex Ginzburg-Landau type equations ⋮ The limit behavior of solutions for the nonlinear Schrödinger equation including nonlinear loss/gain with variable coefficient ⋮ Uniform Exponential Decay for Viscous Damped Systems* ⋮ Operator theory in the complex Ginzburg-Landau equation ⋮ SMALL GLOBAL SOLUTIONS FOR NONLINEAR COMPLEX GINZBURG–LANDAU EQUATIONS AND NONLINEAR DISSIPATIVE WAVE EQUATIONS IN SOBOLEV SPACES

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