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arXiv · 2007.14578

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

Calvin Khor·Xiaojing Xu
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Abstract

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

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Calvin Khor, Xiaojing Xu. 2020-07-29. Temperature patches for the subcritical Boussinesq-Navier-Stokes System with no diffusion. https://arxiv.org/abs/2007.14578

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