Scalar conservation laws seen as gradient flows: known results and new perspectives

We review some results in the literature which attempted (only partly successfully) at linking the theory of scalar conservation laws with the Wasserstein gradient flow theory. In particular, we consider the problem of writing a scalar conservation law within the Wasserstein gradient flow theory. As...

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Bibliographic Details
Main Author: Di Francesco Marco
Format: Article
Language:English
Published: EDP Sciences 2016-06-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://doi.org/10.1051/proc/201654018