Seminar Analysis: Elio Marconi (SISSA Trieste)

On the concentration of entropy dissipation for scalar conservation laws

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. 

This is a joint work with Stefano Bianchini. 

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