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math.AP2026
Global regularity of temperature patches for the 3D non-diffusive Boussinesq system with large Prandtl number
Qianyun Miao, Jiakun Yang
So far the global well-posedness of strong solutions for the 3D non-diffusive Boussinesq system with large initial data remains a remarkable open problem. In this paper, we solve t…
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…