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math.AP2022
Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus
D. M. Ambrose, M. C. Lopes Filho, H. J. Nussenzveig Lopes
Lei and Lin have recently given a proof of a global mild solution of the three-dimensional Navier-Stokes equations in function spaces based on the Wiener algebra. An alternative pr…
math.AP2022
The incompressible --Euler equations in the exterior of a vanishing disk
Adriana Valentina Busuioc, Dragos Iftimie, Milton Lopes Filho +1
In this article we consider the --Euler equations in the exterior of a small fixed disk of radius . We assume that the initial potential vorticity is compactly supported and…