EXISTENCE AND STABILITY OF TRAVELING-WAVE SOLUTIONS IN A KINETIC MODELING OF 2-PHASE FLOWS

Authors
DOMELEVO K ROQUEJOFFRE JM
Citation
K. Domelevo et Jm. Roquejoffre, EXISTENCE AND STABILITY OF TRAVELING-WAVE SOLUTIONS IN A KINETIC MODELING OF 2-PHASE FLOWS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 324(3), 1997, pp. 371-376
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
324
Issue
3
Year of publication
1997
Pages
371 - 376
Database
ISI
SICI code
0764-4442(1997)324:3<371:EASOTS>2.0.ZU;2-1
Abstract
This Note studies a kinetic model of two-phase fluid flows consisting of the Burger's equation for a gas and of the transport equation for t he spray. We prove global existence and uniqueness of regular solution s. The travelling waves of this system are singular and we prove their stability.