NONLINEAR STABILITY OF STRONG DETONATIONS FOR A VISCOUS COMBUSTION MODEL

Authors
LIU TP YING LA
Citation
Tp. Liu et La. Ying, NONLINEAR STABILITY OF STRONG DETONATIONS FOR A VISCOUS COMBUSTION MODEL, SIAM journal on mathematical analysis, 26(3), 1995, pp. 519-528
Citations number
5
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
26
Issue
3
Year of publication
1995
Pages
519 - 528
Database
ISI
SICI code
0036-1410(1995)26:3<519:NSOSDF>2.0.ZU;2-A
Abstract
Strong detonations for a viscous combustion model are studied. These w aves are of ZND (Zeldovich-von Neumann-Doring) type. It is shown that these waves are nonlinearly stable. The analysis consists of an energy method for the fluid variable and a pointwise estimate for the reacta nt. Strong detonations are compressive, which allows for a priori dete rmination of their time-asymptotic location by the conservation law fo r the perturbation.