89 citations · 481 across the 52 of their papers we have counts for
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On bifurcation of self-similar solutions of the stationary Navier-Stokes equations
Hyunju Kwon, Tai-Peng Tsai
Landau solutions are special solutions to the stationary incompressible Navier-Stokes equations in the three dimensional space excluding the origin. They are self-similar and axisy…
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…
Local energy solutions to the Navier-Stokes equations in Wiener amalgam spaces
Zachary Bradshaw, Tai-Peng Tsai
We establish existence of solutions in a scale of classes weaker than the finite energy Leray class and stronger than the infinite energy Lemarié-Rieusset class. The new classes ar…
An -regularity criterion and estimates of the regular set for Navier-Stokes flows in terms of initial data
Kyungkeun Kang, Hideyuki Miura, Tai-Peng Tsai
We prove an -regularity criterion for the 3D Navier-Stokes equations in terms of initial data. It shows that if a scaled local norm of initial data is sufficiently small a…
Liouville type theorems for stationary Navier-Stokes equations
Tai-Peng Tsai
We show that any smooth stationary solution of the 3D incompressible Navier-Stokes equations in the whole space, the half space, or a periodic slab must vanish under the condition…
On the local pressure expansion for the Navier-Stokes equations
Zachary Bradshaw, Tai-Peng Tsai
We show that the pressure associated with a distributional solution of the Navier-Stokes equations on the whole space satisfies a local expansion defined as a distribution if and o…