Reduction of weakly nonlinear parabolic partial differential equations

DOI10.1063/1.4824014zbMath1288.35300arXiv1302.0562OpenAlexW2028704962MaRDI QIDQ5410902

Hayato Chiba

Publication date: 17 April 2014

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

Full work available at URL: https://arxiv.org/abs/1302.0562

zbMATH Keywords

singular perturbation methodSwift-Hohenberg equationamplitude equation

Mathematics Subject Classification ID

Semilinear parabolic equations (35K58) Ginzburg-Landau equations (35Q56)

Related Items

Shadow limit using renormalization group method and center manifold method

Cites Work

• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• The time dependent amplitude equation for the Swift-Hohenberg problem
• Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation
• Extension and Unification of Singular Perturbation Methods for ODEs Based on the Renormalization Group Method
• Renormalization Group Theory for Global Asymptotic Analysis
• Turing Patterns and Wavefronts for Reaction-Diffusion Systems in an Infinite Channel