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math.AP2022
Asymptotic properties of steady plane solutions of the Navier-Stokes equations in the exterior of a half-space
Lili Wang, Wendong Wang
Motivated by Gilbarg-Weinberger's early work on asymptotic properties of steady plane solutions of the Navier-Stokes equations on a neighborhood of infinity \cite{GW1978} , we inve…
math.AP2022
Partial regularity of solutions to the 3D chemotaxis-Navier-Stokes equations at the first blow-up time
Xiaomeng Chen, Shuai Li, Wendong Wang
In this note, we investigate partial regularity of weak solutions of the three dimensional chemotaxis-Navier-Stokes equations, and obtain the -dimensional Hausdorff measur…
math.AP2022
On the uniqueness and non-uniqueness of the steady planar Navier-Stokes equations in an exterior domain
Zhengguang Guo, Wendong Wang
In this paper we investigate the uniqueness of solutions of the steady planar Navier-Stokes equations with different boundary conditions in the exterior domain. For a class of inco…