2 papers
math.AP2024
Global well-posedness of arbitrarily large Lipschitz solutions for the Muskat problem with surface tension
Omar Lazar
We prove a global well-posedness result for the 2D Muskat problem with surface tension. Given any regular enough initial data which is small in some critical space but possibly lar…
math.AP2024
Global regularity and infinite Prandtl number limit of temperature patches for the 2D Boussinesq system
Omar Lazar, Liutang Xue, Jiakun Yang
We prove global regularity and study the infinite Prandtl number limit of temperature patches for the 2D non-diffusive Boussinesq system with dissipation in the full subcritical re…