VISCOUS PERTURBATIONS OF ISOTROPIC SOLUTIONS OF THE KEYFITZ-KRANZER SYSTEM

Authors
Citation
F. Hubert, VISCOUS PERTURBATIONS OF ISOTROPIC SOLUTIONS OF THE KEYFITZ-KRANZER SYSTEM, Applied mathematics letters, 10(1), 1997, pp. 51-55
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
08939659
Volume
10
Issue
1
Year of publication
1997
Pages
51 - 55
Database
ISI
SICI code
0893-9659(1997)10:1<51:VPOISO>2.0.ZU;2-N
Abstract
We study large time behaviour of viscous perturbations of the Keyfitz- Kranzer system. We restrict our attention to isotropic solutions. Para bolic perturbations which enable the propagation of such solutions are computed. We describe the behaviour of their solutions for large time . Numerical perturbations are also studied, in the particular case of the Godunov scheme. We prove the existence of an explicit parabolic pe rturbation, whose dynamics for large time coincides with the Godunov s cheme's one.