The inviscid limit of the complex Ginzburg-Landau equation

DOI10.1006/jdeq.1997.3347zbMath0922.76288OpenAlexW2016112556MaRDI QIDQ1268562

Jiahong Wu

Publication date: 29 September 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3347

zbMATH Keywords

nonlinear Schrödinger equationconvergence ratenonsmooth initial datatwo-parameter Ginzburg-Landau equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs in connection with quantum mechanics (35Q40) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (14)

Zero dispersion and viscosity limits of invariant manifolds for focusing nonlinear Schrödinger equations ⋮ The closeness of localized structures between the Ablowitz–Ladik lattice and discrete nonlinear Schrödinger equations: Generalized AL and DNLS systems ⋮ The limit behavior of solutions for the Cauchy problem of the complex Ginzburg‐Landau equation ⋮ The inviscid limit of the derivative complex Ginzburg-Landau equation ⋮ The inviscid limit of the fractional complex Ginzburg-Landau equation ⋮ Viscous and inviscid magneto-hydrodynamics equations ⋮ The closeness of the Ablowitz-Ladik lattice to the discrete nonlinear Schrödinger equation ⋮ Dissipative localised structures for the complex discrete Ginzburg-Landau equation ⋮ The inviscid limit for the complex Ginzburg--Landau equation ⋮ Complex Ginzburg-Landau equations with dynamic boundary conditions ⋮ Dirichlet inhomogeneous boundary value problem for the \(n+1\) complex Ginzburg-Landau equation. ⋮ Inviscid limit for the energy-critical complex Ginzburg-Landau equation ⋮ Zero-Dissipation Limit for Nonlinear Waves ⋮ Dynamics of nonlocal and local discrete Ginzburg-Landau equations: global attractors and their congruence

Cites Work

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• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Rates of Convergence for Viscous Splitting of the Navier-Stokes Equations
• Inviscid limits and regularity estimates for the solutions of the 2-D dissipative quasi-geostrophic equations
• The inviscid limit for non-smooth vorticity
• Inviscid limit for vortex patches
• Scaling laws and vanishing-viscosity limits for wall-bounded shear flows and for local structure in developed turbulence
• Pattern formation outside of equilibrium

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