CONTINUITY IN FINITE-TIME OF ENTROPY SOLUTIONS FOR NONCONVEX CONSERVATION-LAWS WITH REACTION TERM

Authors
MASCIA C
Citation
C. Mascia, CONTINUITY IN FINITE-TIME OF ENTROPY SOLUTIONS FOR NONCONVEX CONSERVATION-LAWS WITH REACTION TERM, Communications in partial differential equations, 23(5-6), 1998, pp. 913-931
Citations number
11
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Communications in partial differential equations → ACNP
ISSN journal
03605302
Volume
23
Issue
5-6
Year of publication
1998
Pages
913 - 931
Database
ISI
SICI code
0360-5302(1998)23:5-6<913:CIFOES>2.0.ZU;2-J
Abstract
The aim of the paper is to study qualitative properties of entropy sol utions to the Cauchy problem for the following reaction-convection equ ation with nonconvex flux f theta u/theta t+theta f(u)/theta x+g(u) In particular we prove that under suitable assumptions the solution is c ontinuous for large t. New results concerning the asymptotic behavior of solutions are also given, proving convergence to a suitable combina tion of traveling profiles with different speeds.