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arXiv · 1903.05886

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

Danica Basarić
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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.

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Danica Basarić. 2019-03-14. Vanishing viscosity limit for the compressible Navier-Stokes system via measure-valued solutions. https://doi.org/10.1007/s00030-020-00659-3

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