Advances in Differential Equations

Regularity and analyticity in a two-dimensional combustion model

Luca Lorenzi

Abstract

We deal with a free boundary problem in $\mathbb R^2$ modelling propagation of premixed flames. We prove existence, uniqueness and regularity results of the solution near a travelling wave solution. In particular, we prove time analyticity of the free boundary.

Article information

Source
Adv. Differential Equations, Volume 7, Number 11 (2002), 1343-1376.

Dates
First available in Project Euclid: 27 December 2012

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