English

Vanishing viscosity limit for the compressible Navier-Stokes system via measure-valued solutions

Analysis of PDEs 2020-10-23 v1

Abstract

We identify a class of measure-valued solutions of the barotropic Euler system on a general (un-bounded) spatial domain as a vanishing viscosity limit for the compressible Navier-Stokes system. Then we establish the weak (measure-valued)-strong uniqueness principle, and, as a corollary, we obtain strong convergence to the Euler system on the lifespan of the strong solution.

Keywords

Cite

@article{arxiv.1903.05886,
  title  = {Vanishing viscosity limit for the compressible Navier-Stokes system via measure-valued solutions},
  author = {Danica Basarić},
  journal= {arXiv preprint arXiv:1903.05886},
  year   = {2020}
}