Continuity in Finite Time of Entropy Solutions for Nonconvex Conservation Laws with Reaction Term
Mascia, Corrado
HAL, hal-00903226 / Harvested from HAL
Text on HAL
The aim of the paper is to study qualitative properties of entropy solutions to the Cauchy problem for a reaction-convection equation with nonconvex flux. In particular, we prove that under suitable assumptions, the solution is continuous for large t. New results concerning the asymptotic behavior of solutions are also given, proving convergence to a suitable combination of traveling profiles with different speeds.
Publié le : 1998-07-05
Classification:  balance laws,  asymptotic behavior,  conservation laws with source,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00903226,
     author = {Mascia, Corrado},
     title = {Continuity in Finite Time of Entropy Solutions for Nonconvex Conservation Laws with Reaction Term},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00903226}
}

Mascia, Corrado. Continuity in Finite Time of Entropy Solutions for Nonconvex Conservation Laws with Reaction Term. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00903226/