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arXiv · 2106.12812

DMV-strong uniqueness principle for the compressible Navier-Stokes system with potential temperature transport

Mária Lukáčová-Medvid'ová·Andreas Schömer
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Abstract

We establish a DMV-strong uniqueness result for the compressible Navier-Stokes system with potential temperature transport. The concept of generalized, the so-called dissipative measure-valued (DMV), solutions was proposed in [7], where their global-in-time existence was proved. Here we show that strong solutions are stable in the class of DMV solutions. More precisely, a DMV solution coincides with a strong solution emanating from the same initial data as long as the strong solution exists.

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Mária Lukáčová-Medvid'ová, Andreas Schömer. 2021-06-24. DMV-strong uniqueness principle for the compressible Navier-Stokes system with potential temperature transport. https://doi.org/10.1007/s00021-022-00733-z

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