Advances in Differential Equations

Regularity and analyticity in a two-dimensional combustion model

Luca Lorenzi

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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

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

First available in Project Euclid: 27 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35R35: Free boundary problems
Secondary: 35B65: Smoothness and regularity of solutions 35K50 35K55: Nonlinear parabolic equations 80A25: Combustion


Lorenzi, Luca. Regularity and analyticity in a two-dimensional combustion model. Adv. Differential Equations 7 (2002), no. 11, 1343--1376.

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