Existence of planar non-symmetric stationary flows with large flux in an exterior disk

Mitsuo Higaki

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arXiv · 2207.11922

Existence of planar non-symmetric stationary flows with large flux in an exterior disk

Mitsuo Higaki

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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.

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Mitsuo Higaki. 2022-07-25. Existence of planar non-symmetric stationary flows with large flux in an exterior disk. https://arxiv.org/abs/2207.11922

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