11 citations · 13 across the 6 of their papers we have counts for
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Prandtl--Batchelor and flux-expulsion selection for steady MHD flows in a disk
Chen Gao, Zhiwu Lin, Jianfeng Zhao
We study the simultaneous vanishing-viscosity and vanishing-resistivity limit of steady incompressible MHD flows in a disk. The boundary velocity is a small nonaxisymmetric perturb…
Prandtl Boundary Layers in An Infinitely Long Convergent Channel
Chen Gao, Zhouping Xin
This paper concerns the large Reynold number limits and asymptotic behaviors of solutions to the 2D steady Navier-Stokes equations in an infinitely long convergent channel. It is s…
Symmetric Stationary Boundary Layer
Chen Gao, Liqun Zhang, Chuankai Zhao
Considering the boundary layer problem in the case of two-dimensional flow past a wedge with the wedge angle , Oleinik and Samokhin obtained the local well-posed…
Existence of blowup solutions to Boussinesq equations on with dissipative temperature
Chen Gao, Liqun Zhang, Xianliang Zhang
The three-dimensional incompressible Boussinesq system is one of the important equations in fluid dynamics. The system describes the motion of temperature-dependent incompressible…
Prandtl-Batchelor flows on a disk
Mingwen Fei, Chen Gao, Zhiwu Lin +1
For steady two-dimensional flows with a single eddy (i.e. nested closed streamlines), Prandtl (1905) and Batchelor (1956) proposed that in the limit of vanishing viscosity the vort…
Prandtl-Batchelor flows on an annulus
Mingwen Fei, Chen Gao, Zhiwu Lin +1
For steady two-dimensional Navier-Stokes flows with a single eddy (i.e. nested closed streamlines) in a simply connected domain, Prandtl (1905) and Batchelor (1956) found that in t…