An $L^1$-stability and uniqueness result for balance laws with multifunctions: a model from the theory of granular media
Volume 100 / 2004
Colloquium Mathematicum 100 (2004), 149-162
MSC: 35L65, 35L45, 35B35.
DOI: 10.4064/cm100-2-1
Abstract
We study the uniqueness and $L^1$-stability of the Cauchy problem for a $2\times2$ system coming from the theory of granular media \cite{SH1, SH2}. We work in a class of weak entropy solutions. The appearance of a multifunction in a source term, given by the Coulomb–Mohr friction law, requires a modification of definition of the weak entropy solution \cite{Gwiazda2002, Gwiazda2003}.
