Temperature patches for the subcritical Boussinesq-Navier-Stokes System with no diffusion

preprint2020arXivOpen access

Abstract

In this paper, we prove that temperature patch solutions to the subcritical Boussinesq-Navier-Stokes System with no diffusion preserve the Hölder regularity of their boundary for all time, which generalises the previously known result by F. Gancedo and E. García-Juárez [Annals of PDE, 3(2):14, 2017] to the full range of subcritical viscosity.

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