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

Piotr Gwiazda; Agnieszka Świerczewska

Colloquium Mathematicae (2004)

  • Volume: 100, Issue: 2, page 149-162
  • ISSN: 0010-1354

Abstract

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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].

How to cite

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Piotr Gwiazda, and Agnieszka Świerczewska. "An L¹-stability and uniqueness result for balance laws with multifunctions: a model from the theory of granular media." Colloquium Mathematicae 100.2 (2004): 149-162. <http://eudml.org/doc/283592>.

@article{PiotrGwiazda2004,
abstract = {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].},
author = {Piotr Gwiazda, Agnieszka Świerczewska},
journal = {Colloquium Mathematicae},
keywords = {differential inclusion; weak entropy solution; Coulomb-Mohr friction law},
language = {eng},
number = {2},
pages = {149-162},
title = {An L¹-stability and uniqueness result for balance laws with multifunctions: a model from the theory of granular media},
url = {http://eudml.org/doc/283592},
volume = {100},
year = {2004},
}

TY - JOUR
AU - Piotr Gwiazda
AU - Agnieszka Świerczewska
TI - An L¹-stability and uniqueness result for balance laws with multifunctions: a model from the theory of granular media
JO - Colloquium Mathematicae
PY - 2004
VL - 100
IS - 2
SP - 149
EP - 162
AB - 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].
LA - eng
KW - differential inclusion; weak entropy solution; Coulomb-Mohr friction law
UR - http://eudml.org/doc/283592
ER -

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