### 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