Relative entropy method for measure-valued solutions in natural sciences
Analysis of PDEs
2017-09-06 v1
Abstract
In this article we describe the applications of the relative entropy framework. In particular uniqueness of an entropy solution is proven for a scalar conservation law, using the notion of measure-valued entropy solutions. Further we survey recent results concerning measure-valued-strong uniqueness for a number of physical systems - incompressible and compressible Euler equations, compressible Navier-Stokes, polyconvex elastodynamics and general hyperbolic conservation laws, as well as long-time asymptotics of the McKendrick-Von Foerster equation.
Cite
@article{arxiv.1709.01410,
title = {Relative entropy method for measure-valued solutions in natural sciences},
author = {Tomasz Dębiec and Piotr Gwiazda and Kamila Łyczek and Agnieszka Świerczewska-Gwiazda},
journal= {arXiv preprint arXiv:1709.01410},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1109.6686 by other authors