Abstract
This article is concerned with the study of entropy solutions of the scalar conservation law ∂tu+divxA(x,u)=0. The main novelty of our work lies in the fact that the flux A is allowed to depend on the space variable x. We introduce a kinetic formulation for this equation, proven to be equivalent to the usual entropy inequalities. We check the existence and uniqueness of weak L1 solutions of the scalar law.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Annales de l?Institut Henri Poincare (C) Non Linear Analysis
Paper Title
Journal
Date
