# American Institute of Mathematical Sciences

March  2007, 7(2): 315-350. doi: 10.3934/dcdsb.2007.7.315

## Instability in a flame ball problem

 1 Mathématiques Appliquées de Bordeaux Université Bordeaux 1, 351 Cours de la Libération, 33405 Talence cedex, France 2 Dipartimento di Matematica, Università degli Studi di Parma, Viale G.P. Usberti, 53/A, 43100 Parma, Italy

Received  January 2006 Revised  May 2006 Published  December 2006

In this paper we give a rigorous mathematical proof of the instability of stationary radial flame ball solutions of a three dimensional free boundary model which models the combustion of a gaseous mixture with dust in a microgravity environment.
Citation: Vincent Guyonne, Luca Lorenzi. Instability in a flame ball problem. Discrete & Continuous Dynamical Systems - B, 2007, 7 (2) : 315-350. doi: 10.3934/dcdsb.2007.7.315
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