89 citations · 481 across the 52 of their papers we have counts for
58 papers
Large discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field
Tai-Peng Tsai
Discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field for large discretely self-similar initial data are constructed in this note, exte…
On linear elliptic equations with drift terms in critical weak spaces
Hyunseok Kim, Tuoc Phan, Tai-Peng Tsai
We study the Dirichlet problem for a second order linear elliptic equation in a bounded smooth domain in , , with the drift belonging to th…
Gradient estimates for the non-stationary Stokes system with the Navier boundary condition
Hui Chen, Su Liang, Tai-Peng Tsai
For the non-stationary Stokes system, it is well-known that one can improve spatial regularity in the interior, but not near the boundary if it is coupled with the no-slip boundary…
Growth rates for anti-parallel vortex tube Euler flows in three and higher dimensions
Stephen Gustafson, Evan Miller, Tai-Peng Tsai
We consider axisymmetric, swirl-free solutions of the Euler equations in three and higher dimensions, of generalized anti-parallel-vortex-tube-pair-type: the initial scalar vortici…
Mild solutions and spacetime integral bounds for Stokes and Navier-Stokes flows in Wiener amalgam spaces
Zachary Bradshaw, Chen-Chih Lai, Tai-Peng Tsai
We first prove decay estimates and spacetime integral bounds for Stokes flows in amalgam spaces which connect the classical Lebesgue spaces to the spaces of uniformly local…
On the regularity of axisymmetric, swirl-free solutions of the Euler equation in four and higher dimensions
Evan Miller, Tai-Peng Tsai
In this paper, we consider axisymmetric, swirl-free solutions of the Euler equation in four and higher dimensions. We show that in dimension , axisymmetric, swirl-free sol…