Temperature patches for the subcritical Boussinesq-Navier-Stokes System with no diffusion
Analysis of PDEs
2020-07-30 v1
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.
Keywords
Cite
@article{arxiv.2007.14578,
title = {Temperature patches for the subcritical Boussinesq-Navier-Stokes System with no diffusion},
author = {Calvin Khor and Xiaojing Xu},
journal= {arXiv preprint arXiv:2007.14578},
year = {2020}
}
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22 pages