%0 Journal Article %J Discrete & Continuous Dynamical Systems - S %D 2016 %T On the concentration of entropy for scalar conservation laws %A Stefano Bianchini %A Elio Marconi %K concentration %K Conservation laws %K entropy solutions %K Lagrangian representation %K shocks %X

We prove that the entropy for an $L^∞$-solution to a scalar conservation laws with continuous initial data is concentrated on a countably $1$-rectifiable set. To prove this result we introduce the notion of Lagrangian representation of the solution and give regularity estimates on the solution.

%B Discrete & Continuous Dynamical Systems - S %V 9 %P 73 %G eng %U http://aimsciences.org//article/id/ce4eb91e-9553-4e8d-8c4c-868f07a315ae %R 10.3934/dcdss.2016.9.73