Journal
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume 27, Issue 6, Pages -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
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Funding
- 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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