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

2020/07/29 by Calvin Khor, Khor, Calvin, Xiaojing Xu +1
Engineering · Mathematics · #35A01 #35A02 #35F25 #35Q35 #35R05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2007.14578

openalex publication_date 2020/07/29 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

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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