WIAS Preprint No. 815, (2003)

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.

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