20 citations · 47 across the 17 of their papers we have counts for
18 papers
Forward self-similar solutions of the Navier-Stokes equations in R^n
Baishun Lai, Changxing Miao, Xiaoxin Zheng
We investigate forward self-similar solutions to the incompressible Navier--Stokes equations with homogeneous initial data , , focusing on the…
Global existence and uniqueness of weak solutions for the MHD equations with large -initial values
Baishun Lai, Ge Tang, Ziying Xu
This paper is concerned with the weak solution theory for the MHD system with large -initial data. Due to the fact that the natural boundary condition on the magnetic field $H…
Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space
Kyungkeun Kang, Baishun Lai, Chen-Chih Lai +1
For the Stokes system in the half space, Kang [Math.~Ann.~2005] showed that a solution generated by a compactly supported, Hölder continuous boundary flux may have unbounded normal…
The Green tensor of the nonstationary Stokes system in the half space
Kyungkeun Kang, Baishun Lai, Chen-Chih Lai +1
We prove the first ever pointwise estimates of the (unrestricted) Green tensor and the associated pressure tensor of the nonstationary Stokes system in the half-space, for every sp…
Global Regularity of weak solutions to the generalized Leray equations and its applications
Baishun Lai, Changxing Miao, Xioaxin Zheng
We investigate a regularity for weak solutions of the following generalized Leray equations \begin{equation*} (-Δ)^αV- \frac{2α-1}{2α}V+V\cdot\nabla V-\frac{1}{2α}x\cdot \nabla V+\…
Forward self-similar solutions of the fractional Navier-Stokes Equations
Baishun Lai, Changxing Miao, Xiaoxin Zheng
We study forward self-similar solutions to the 3-D Navier-Stokes equations with the fractional diffusion First, we construct a global-time forward self-similar solutions…