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math.AP2023
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…
math.AP2023
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…
math.AP2023
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…