Rigorous derivation of the Kuramoto-Sivashinsky equation from a 2D weakly nonlinear Stefan problem

DOI10.4171/IFB/249zbMath1225.35195arXiv0907.2758OpenAlexW1980471281MaRDI QIDQ540148

Josephus Hulshof, Luca Lorenzi, Claude-Michel Brauner

Publication date: 1 June 2011

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2758

zbMATH Keywords

singular perturbationsStefan problempseudo-differential operatorsfront dynamicsKuramoto/Sivanhinky equation

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) KdV equations (Korteweg-de Vries equations) (35Q53) Stefan problems, phase changes, etc. (80A22) Moving boundary problems for PDEs (35R37)

Related Items (3)

Stability analysis and Hopf bifurcation at high Lewis number in a combustion model with free interface ⋮ On a strongly damped wave equation for the flame front ⋮ Asymptotic analysis in a gas-solid combustion model with pattern formation

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