Research Group:
Speaker:
Elio Marconi
Institution:
SISSA
Schedule:
Friday, November 20, 2015 - 14:00
Location:
A-133
Abstract:
After a brief overview about the classical well-posedness result for scalar conservation laws, we investigate the structure of bounded solutions. In particular we prove that the entropy dissipation measure is concentrated on a countably 1-rectifiable set. In order to prove this result we introduce the notion of Lagrangian representation of the solution.