2 citations · 5 across the 8 of their papers we have counts for
10 papers
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…
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 $$-|Du|^γΔ^N_p u=f\in L^2(Ω)\quad {\rm in}\quad Ω; \quad u=0 \ \mbox{on $\partialΩ$} $$ for ,…
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…
Global well-posedness and refined regularity criterion for the uni-directional Euler-alignment system
Yatao Li, Qianyun Miao, Changhui Tan +1
We investigate global solutions to the Euler-alignment system in dimensions with unidirectional flows and strongly singular communication protocols for $α…
Global regularity of non-diffusive temperature fronts for the 2D viscous Boussinesq system
Dongho Chae, Qianyun Miao, Liutang Xue
In this paper we address the temperature patch problem of the 2D viscous Boussinesq system without heat diffusion term. The temperature satisfies the transport equation and the ini…