Weak-strong uniqueness in fluid dynamics
Analysis of PDEs
2017-05-12 v1 Fluid Dynamics
Abstract
We give a survey of recent results on weak-strong uniqueness for compressible and incompressible Euler and Navier-Stokes equations, and also make some new observations. The importance of the weak-strong uniqueness principle stems, on the one hand, from the instances of non-uniqueness for the Euler equations exhibited in the past years; and on the other hand from the question of convergence of singular limits, for which weak-strong uniqueness represents an elegant tool.
Cite
@article{arxiv.1705.04220,
title = {Weak-strong uniqueness in fluid dynamics},
author = {Emil Wiedemann},
journal= {arXiv preprint arXiv:1705.04220},
year = {2017}
}