Solutions without phase-slip for the Ginsburg-Landau equation

DOI10.1007/BF02099141zbMath0748.35044MaRDI QIDQ1193089

Pierre Collet, Jean-Pierre Eckmann

Publication date: 27 September 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorGinzburg-Landau equationstationary solutionsone dimensioncomplex scalar fieldphase melting process

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

The nonlinear stability of front solutions for parabolic partial differential equations, Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation, Diffusive stability of oscillations in reaction-diffusion systems, Nonlinear Stability of Bifurcating Front Solutions for the Taylor-Couette Problem, Nonlinear Stability of Bifurcating Front Solutions for the Taylor-Couette Problem, Renormalization group and the Ginzburg-Landau equation, Stability of moving fronts in the Ginzburg-Landau equation

Cites Work

• A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
• On a pointwise estimate for parabolic differential equations
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