An existence result for balance laws with multifunctions: a model from the theory of granular media
Piotr Gwiazda
Colloquium Mathematicae, Tome 96 (2003), p. 67-79 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284833 
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Piotr Gwiazda. An existence result for balance laws with multifunctions: a model from the theory of granular media. Colloquium Mathematicae, Tome 96 (2003) pp. 67-79. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm97-1-7/