An $L^1$-stability and uniqueness result for balance laws with multifunctions: A model from the theory of granular media
- Gwiazda, Piotr
- Swierczewska, Agnieszka
2010 Mathematics Subject Classification
- 35L65 35L45 35B35
- system of hyperbolic conservation law, multifunction, weak entropy solutions, $L^1$-stability, uniqueness, well-posedness
In this paper it is studied uniqueness and $L^1$-stability for $2times2$ system coming out from the theory of granular media. The investigations are done in a class of weak entropy solutions. The appearance of multifunction in a source term, given by Coulomb-Mohr friction law, requires a modification of definition of the solution.