2 papers
math.AP2009
A fully nonlinear equation for the flame front in a quasi-steady combustion model
C. -M. Brauner, J. Hulshof, L. Lorenzi +1
We revisit the Near Equidiffusional Flames (NEF) model introduced by Matkowsky and Sivashinsky in 1979 and consider a simplified, quasi-steady version of it. This simplification al…
math.AP2009
Rigorous derivation of the Kuramoto-Sivashinsky equation in a 2D weakly nonlinear Stefan problem
Claude-Michel Brauner, Josephus Hulshof, Luca Lorenzi
In this paper we are interested in a rigorous derivation of the Kuramoto-Sivashinsky equation (K--S) in a Free Boundary Problem. As a paradigm, we consider a two-dimensional Stefan…