From the 2 of 4 linked papers with an AI index.
4 papers
The Neumann problem for the Stokes system in nonsmooth domains
Qianyun Miao, Fa Peng
The paper investigates the L^p Neumann problem for the Stokes system on bounded Lipschitz (nonsmooth) domains, introducing a nonlinear gradient quantity to obtain global second‑ord…
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…
A nonlinear Calderón-Zygmund -theory for the Dirichlet problem involving
Qianyun Miao, Fa Peng, Yuan Zhou
We establish a nonlinear Calderón-Zygmund -theory to the Dirichlet problem $$-|Du|^γÎ^N_p u=f\in L^2(Ω)\quad {\rm in}\quad Ω; \quad u=0 \ \mbox{on $\partialΩ$} $$ for $n…
Local regularity and finite-time singularity for a class of generalized SQG patches on the half-plane
Qianyun Miao, Changhui Tan, Liutang Xue +1
In this paper, we investigate a class of inviscid generalized surface quasi-geostrophic (SQG) equations on the half-plane with a rigid boundary. Compared to the Biot-Savart law in…