Stability of the travelling wave in a 2D weakly nonlinear Stefan problem

DOI10.3934/krm.2009.2.109zbMath1185.35289OpenAlexW1976133671MaRDI QIDQ1042712

Claude-Michel Brauner, Josephus Hulshof, Luca Lorenzi

Publication date: 7 December 2009

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2009.2.109

zbMATH Keywords

stabilityKuramoto-Sivashinsky equationStefan problemsectorial operatorspseudo-differential operatorsfront dynamics

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stefan problems, phase changes, etc. (80A22) Capillarity (surface tension) for incompressible viscous fluids (76D45) Free boundary problems for PDEs (35R35) Traveling wave solutions (35C07) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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