Geodesic
An existence result for balance laws with multifunctions: a model from the theory of granular media
Piotr Gwiazda1
1 Institute of Applied Mathematics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland
Colloquium Mathematicum, Tome 97 (2003) no. 1, pp. 67-79.

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

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.
DOI : 10.4064/cm97-1-7
Keywords: study example balance law multifunction source term coming theory granular media prove existence weak entropy solutions system using vanishing viscosity method compensated compactness because occurrence multifunction definition weak entropy solutions

Piotr Gwiazda 1

1 Institute of Applied Mathematics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland 
@article{10_4064_cm97_1_7,
     author = {Piotr Gwiazda},
     title = {An existence result for balance laws
 with multifunctions: a model from the theory
 of granular media},
     journal = {Colloquium Mathematicum},
     pages = {67--79},
     publisher = {mathdoc},
     volume = {97},
     number = {1},
     year = {2003},
     doi = {10.4064/cm97-1-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm97-1-7/}
}
TY  - JOUR
AU  - Piotr Gwiazda
TI  - An existence result for balance laws
 with multifunctions: a model from the theory
 of granular media
JO  - Colloquium Mathematicum
PY  - 2003
SP  - 67
EP  - 79
VL  - 97
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm97-1-7/
DO  - 10.4064/cm97-1-7
LA  - en
ID  - 10_4064_cm97_1_7
ER  - 
%0 Journal Article
%A Piotr Gwiazda
%T An existence result for balance laws
 with multifunctions: a model from the theory
 of granular media
%J Colloquium Mathematicum
%D 2003
%P 67-79
%V 97
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm97-1-7/
%R 10.4064/cm97-1-7
%G en
%F 10_4064_cm97_1_7
Piotr Gwiazda. An existence result for balance laws
 with multifunctions: a model from the theory
 of granular media. Colloquium Mathematicum, Tome 97 (2003) no. 1, pp. 67-79. doi : 10.4064/cm97-1-7. http://geodesic.mathdoc.fr/articles/10.4064/cm97-1-7/

Cité par Sources :