An existence result for balance laws with multifunctions: a model from the theory of granular media
Volume 97 / 2003
Colloquium Mathematicum 97 (2003), 67-79
MSC: 35L65, 35L45, 35Q72.
DOI: 10.4064/cm97-1-7
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.
