Geodesic
An $L^1$-stability and uniqueness result for balance laws with multifunctions: a model from the theory of granular media
Piotr Gwiazda1 ; Agnieszka /Swierczewska2
1 Institute of Applied Mathematics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland
2 Department of Mathematics Darmstadt University of Technology Schlossgartenstrasse 7 D-64289 Darmstadt, Germany
Colloquium Mathematicum, Tome 100 (2004) no. 2, pp. 149-162

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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}.
DOI : 10.4064/cm100-2-1
Keywords: study uniqueness stability cauchy problem times system coming theory granular media cite work class weak entropy solutions appearance multifunction source term given coulomb mohr friction law requires modification definition weak entropy solution cite gwiazda gwiazda

Piotr Gwiazda 1 ; Agnieszka /Swierczewska 2

1 Institute of Applied Mathematics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland
2 Department of Mathematics Darmstadt University of Technology Schlossgartenstrasse 7 D-64289 Darmstadt, Germany 
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Piotr Gwiazda; Agnieszka /Swierczewska. An $L^1$-stability and uniqueness result for
 balance laws with multifunctions: a model
 from the theory of granular media. Colloquium Mathematicum, Tome 100 (2004) no. 2, pp. 149-162. doi: 10.4064/cm100-2-1

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