Calculus of Variations and Geometric Measure Theory
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E. Marconi

The rectifiability of the entropy defect measure for Burgers equation

created by marconi on 21 Apr 2020

[BibTeX]

Preprint

Inserted: 21 apr 2020
Last Updated: 21 apr 2020

Year: 2020

Abstract:

We consider bounded weak solutions to the Burgers equation for which every entropy dissipation is representable by a measure and we prove that all these measures are concentrated on the graphs of countably many Lipschitz curves. The main tool is the Lagrangian representation, which is an extension of the method of characteristics to the non-smooth setting.


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