4.2 Article

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

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00030-020-00659-3

Keywords

Measure-valued solution of the Euler system; Vanishing viscosity limit for the compressible Navier-Stokes system; Weak (measure-valued)-strong uniqueness principle; General (unbounded) domain

Funding

  1. Einstein Foundation, Berlin

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We identify a class ofmeasure-valuedsolutions of the barotropic Euler system on a general (unbounded) 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.

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