Weak-strong uniqueness principle for compressible barotropic self-gravitating fluids

Danica Basarić

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arXiv · 2109.03653

Weak-strong uniqueness principle for compressible barotropic self-gravitating fluids

Danica Basarić

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Abstract

The aim of this work is to prove the weak-strong uniqueness principle for the compressible Navier-Stokes-Poisson system on an exterior domain, with an isentropic pressure of the type $p(\varrho)=a\varrho^{\gamma}$ and allowing the density to be close or equal to zero. In particular, the result will be first obtained for an adiabatic exponent $\gamma \in [9/5,2]$ and afterwards, this range will be slightly enlarged via pressure estimates "up to the boundary", deduced relaying on boundedness of a proper singular integral operator.

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Danica Basarić. 2021-09-08. Weak-strong uniqueness principle for compressible barotropic self-gravitating fluids. https://arxiv.org/abs/2109.03653

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