On the regularity of temperature fronts for the 3D viscous Boussinesq system

Omar Lazar, Yatao Li, Liutang Xue

We study the temperature front problem for the 3D viscous Boussinesq equation. We prove that the $C^{k,\gamma }$ ($k\ge 1$, $0<\gamma <1$) and $W^{2,\infty }$ regularity of a temperature fron…