The linear stability of traveling wave solutions for a reacting flow modelwith source term

Authors
Hsiao, L Pan, RH
Citation
L. Hsiao et Rh. Pan, The linear stability of traveling wave solutions for a reacting flow modelwith source term, Q APPL MATH, 58(2), 2000, pp. 219-238
Citations number
15
Categorie Soggetti
Engineering Mathematics
Journal title
QUARTERLY OF APPLIED MATHEMATICS
ISSN journal
0033569X → ACNP
Volume
58
Issue
2
Year of publication
2000
Pages
219 - 238
Database
ISI
SICI code
0033-569X(200006)58:2<219:TLSOTW>2.0.ZU;2-3
Abstract
In this paper, we consider a 3 x 3 system for a reacting flow model with a source term in [7]. This model can be considered as a relaxation approximat ion to 2 x 2 systems of conservation laws, which include the well-known p-s ystem. From this viewpoint, by introducing the new waves through time-asymp totic expansion and using the L-2 energy method, we establish the global ex istence and the linear stability of traveling wave solutions.