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

Autor: Khor, Calvin, Xu, Xiaojing
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 22 pages
Databáze: arXiv