38 citations · 63 across the 11 of their papers we have counts for
12 papers
Steady symmetric Navier-Stokes flow near Poiseuille flow: existence and vanishing viscosity limit
Zeyu Jia, Jia Song, Tao Tao
We study the existence and vanishing viscosity limit of steady incompressible Navier-Stokes flows in a horizontally periodic strip with no slip boundary conditions and midline symm…
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…
Finite energy weak solution of 2d Boussinesq equation with diffusive temperature
Tianwen Luo, Tao Tao, Liqun Zhang
We show the existence of finite kinetic energy solution with prescribed kinetic energy to the 2d Boussinesq equations with diffusive temperature on torus.
Hölder continuous weak solution of 2d Boussinesq equation with diffusive temperature
Tianwen Luo, Tao Tao, Liqun Zhang
We show the existence of Hölder continuous periodic weak solutions of the 2d Boussinesq equation with diffusive temperature which satisfy the prescribed kinetic energy. More precis…
Sharp interface limit of a diffuse interface model for tumor-growth
Mingwen Fei, Tao Tao, Wei Wang
We consider the asymptotic limit of a diffuse interface model for tumor-growth when a parameter proportional to the thickness of the diffuse interface goes to zero. A…