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Existence of planar non-symmetric stationary flows with large flux in an exterior disk (2207.11922v1)
Published 25 Jul 2022 in math.AP
Abstract: This paper is concerned with the two-dimensional stationary Navier-Stokes system in the domain exterior to the unit disk. The existence of solutions with critical decay $O(|x|{-1})$ is established around some explicit flows with large flux. The solutions are obtained for non-symmetric external forces, and moreover, are unique in a certain class.