Justification of mean-field coupled modulation equations

DOI10.1017/S0308210500029942zbMath0880.35108OpenAlexW2316448142MaRDI QIDQ4349178

Guido Schneider

Publication date: 10 September 1997

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500029942

zbMATH Keywords

existenceuniquenessGinzburg-Landau equationsbifurcation parameterKuramoto-Shivashinsky equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations in context of PDEs (35B32)

Related Items (6)

The validity of phase diffusion equations and of Cahn-Hilliard equations for the modulation of pattern in reaction-diffusion systems ⋮ Justification of the Ginzburg-Landau approximation in case of marginally stable long waves ⋮ A waiting time phenomenon for modulations of pattern in reaction-diffusion systems ⋮ Validity of the Cahn-Hilliard approximation for modulations of slightly unstable pattern in the real Ginzburg-Landau equation ⋮ Modulational stability of travelling waves in 2D anisotropic systems ⋮ Modulation equation and SPDEs on unbounded domains

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