An existence result for balance laws with multifunctions: a model from the theory of granular media

• Autorzy: Piotr Gwiazda
• Języki publikacji: EN

Abstrakty

EN

We study an example of the balance law with a multifunction source term, coming from the theory of granular media. We prove the existence of "weak entropy solutions" to this system, using the vanishing viscosity method and compensated compactness. Because of the occurrence of a multifunction we give a new definition of the weak entropy solutions.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 97
• Numer: 1
• Strony: 67-79

Daty

wydano

2003

Twórcy

autor

Piotr Gwiazda

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

Identyfikatory

DOI

10.4064/cm97-1-7