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math.AP2022
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…
math.AP2022
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…
math.AP2022
Remarks on local regularity of axisymmetric solutions to the 3D Navier--Stokes equations
Hui Chen, Tai-Peng Tsai, Ting Zhang
In this note, a new local regularity criteria for the axisymmetric solutions to the 3D Navier--Stokes equations is investigated. It is slightly supercritical and implies an upper b…