An L¹-stability and uniqueness result for balance laws with multifunctions: a model from the theory of granular media

• Autorzy: Piotr Gwiazda , Agnieszka Świerczewska
• Języki publikacji: EN

Abstrakty

EN

We study the uniqueness and L¹-stability of the Cauchy problem for a 2 × 2 system coming from the theory of granular media [9,10]. 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 [5,6].

Kategorie tematyczne

• 35L65: Conservation laws
• 35B35: Stability
• 35L45: Initial value problems for first-order hyperbolic systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 100
• Numer: 2
• Strony: 149-162

Daty

wydano

2004

Twórcy

autor

Piotr Gwiazda

• Institute of Applied Mathematics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

autor

Agnieszka Świerczewska

• Department of Mathematics, Darmstadt University of Technology, Schlossgartenstrasse 7, D-64289 Darmstadt, Germany

Identyfikatory

DOI

10.4064/cm100-2-1