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math.AP2026
The Neumann problem for the Stokes system in nonsmooth domains
Qianyun Miao, Fa Peng
We study the Neumann problem for the Stokes system on bounded Lipschitz domains in with . Our main contribution is to introduce a nonlinear gradient qua…
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…