Variational properties of the kinetic solutions of scalar conservation laws

Details Variational properties of the kinetic solutions of scalar conservation laws Variational properties of the kinetic solutions of scalar conservation laws

2011-05-13

arxiv.org/abs/1105.2695v3

Mathematics

Analysis of PDEs

8 pages

Scientific paper

We discuss properties of kinetic solutions of scalar conservation laws in the
variational approach developed by Eu. Panov and Y. Brenier. Our main result
shows that such solutions can be considered as curves in a suitable Hilbert
space with tangents that are unique minimizers of an interaction functional.

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