American Institute of Mathematical Sciences

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

Instability in a flame ball problem

Vincent Guyonne 1, and  Luca Lorenzi 2,

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.
Keywords: Free boundary problems in combustion theory, analytic semigroups., stability.
Mathematics Subject Classification: Primary: 35R35; Secondary: 35K50, 35K55, 37K45, 80A2.
Citation: Vincent Guyonne, Luca Lorenzi. Instability in a flame ball problem. Discrete and Continuous Dynamical Systems - B, 2007, 7 (2) : 315-350. doi: 10.3934/dcdsb.2007.7.315
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