Weak-strong uniqueness for measure-valued solutions of some compressible fluid models
Analysis of PDEs
2015-10-28 v1 Fluid Dynamics
Abstract
We prove weak-strong uniqueness in the class of admissible measure-valued solutions for the isentropic Euler equations in any space dimension and for the Savage-Hutter model of granular flows in one and two space dimensions. For the latter system, we also show the complete dissipation of momentum in finite time, thus rigorously justifying an assumption that has been made in the engineering and numerical literature.
Keywords
Cite
@article{arxiv.1503.05246,
title = {Weak-strong uniqueness for measure-valued solutions of some compressible fluid models},
author = {Piotr Gwiazda and Agnieszka Świerczewska-Gwiazda and Emil Wiedemann},
journal= {arXiv preprint arXiv:1503.05246},
year = {2015}
}