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

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

2011-11-14

arxiv.org/abs/1111.3082v1

Mathematics

Analysis of PDEs

Scientific paper

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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