217 citations · 1.8k across the 81 of their papers we have counts for
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The 2D incompressible Boussinesq equations with general critical dissipation
Quansen Jiu, Changxing Miao, Jiahong Wu +1
This paper aims at the global regularity problem concerning the 2D incompressible Boussinesq equations with general critical dissipation. The critical dissipation refers to …
Well-posedness of the Ericksen-Leslie system
Wei Wang, Pingwen Zhang, Zhifei Zhang
In this paper, we prove the local well-posedness of the Ericksen-Leslie system, and the global well-posednss for small initial data under the physical constrain condition on the Le…
The small Deborah number limit of the Doi-Onsager equation to the Ericksen-Leslie equation
Wei Wang, Pingwen Zhang, Zhifei Zhang
We present a rigorous derivation of the Ericksen-Leslie equation starting from the Doi-Onsager equation. As in the fluid dynamic limit of the Boltzmann equation, we first make the…
On the interior regularity criterion and the number of singular points to the Navier-Stokes equations
Wendong Wang, Zhifei Zhang
We establish some interior regularity criterions of suitable weak solutions for the 3-D Navier-Stokes equations, which allow the vertical part of the velocity to be large under the…