Instability of the free boundary in a two-dimensional combustion model

Authors
Brauner, CM Lunardi, A
Citation
Cm. Brauner et A. Lunardi, Instability of the free boundary in a two-dimensional combustion model, CR AC S I, 330(2), 2000, pp. 77-81
Citations number
9
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
330
Issue
2
Year of publication
2000
Pages
77 - 81
Database
ISI
SICI code
0764-4442(20000115)330:2<77:IOTFBI>2.0.ZU;2-T
Abstract
We prove instability of the front in a free boundary problem in R-2 modelli ng premixed flame propagation, transforming it to a fully nonlinear problem with fixed boundary. The difficulty due to the spectrum of the linear part , which contains an interval [0, omega(c)], omega(c) > 0, is overcome by an argument from the theory of dynamical systems in Banach spaces. (C) 2000 A cademie des sciences/Editions scientifiques et medicales Elsevier SAS.