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arXiv · 1111.3082

Relative entropies, suitable weak solutions, and weak strong uniqueness for the compressible Navier-Stokes system

Eduard Feireisl·Bum Ja Jin·Antonin Novotny
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Abstract

We introduce the notion of relative entropy for the weak solutions of the compressible Navier-Stokes system. We show that any finite energy weak solution satisfies a relative entropy inequality for any pair of sufficiently smooth test functions. As a corollary we establish weak-strong uniqueness principle for the compressible Navier-Stokes system.

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Eduard Feireisl, Bum Ja Jin, Antonin Novotny. 2011-11-14. Relative entropies, suitable weak solutions, and weak strong uniqueness for the compressible Navier-Stokes system. https://doi.org/10.1007/s00021-011-0091-9

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