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

Piotr Gwiazda

Colloquium Mathematicae (2003)

  • Volume: 97, Issue: 1, page 67-79
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Piotr Gwiazda. "An existence result for balance laws with multifunctions: a model from the theory of granular media." Colloquium Mathematicae 97.1 (2003): 67-79. <http://eudml.org/doc/284833>.

@article{PiotrGwiazda2003,
abstract = {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.},
author = {Piotr Gwiazda},
journal = {Colloquium Mathematicae},
keywords = {Young measures; compensated compactness; differential inclusion; weak entropy solution; viscous problems},
language = {eng},
number = {1},
pages = {67-79},
title = {An existence result for balance laws with multifunctions: a model from the theory of granular media},
url = {http://eudml.org/doc/284833},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Piotr Gwiazda
TI - An existence result for balance laws with multifunctions: a model from the theory of granular media
JO - Colloquium Mathematicae
PY - 2003
VL - 97
IS - 1
SP - 67
EP - 79
AB - 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.
LA - eng
KW - Young measures; compensated compactness; differential inclusion; weak entropy solution; viscous problems
UR - http://eudml.org/doc/284833
ER -

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