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arXiv · 2606.02517

Weak-strong uniqueness and low Mach number limit for a viscous compressible fluid around a rotating body

Thomas Eiter·Šárka Nečasová·Florian Oschmann
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Abstract

We study the flow of an isothermal compressible Newtonian fluid around a body that performs a (time-independent) rigid motion. We derive a weak-strong uniqueness principle, and show that in the low Mach number limit, the governing equation is well approximated by the Navier-Stokes equations for incompressible rotating flow. Both results are based on the derivation of a relative energy inequality for weak solutions to this exterior-domain problem.

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Thomas Eiter, Šárka Nečasová, Florian Oschmann. 2026-06-01. Weak-strong uniqueness and low Mach number limit for a viscous compressible fluid around a rotating body. https://arxiv.org/abs/2606.02517

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