Regular solutions of the stationary Navier-Stokes equations on high dimensional Euclidean space

YanYan Li; Zhuolun Yang

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arXiv · 2101.03640

Regular solutions of the stationary Navier-Stokes equations on high dimensional Euclidean space

YanYan Li·Zhuolun Yang

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Abstract

We study the existence of regular solutions of the incompressible stationary Navier-Stokes equations in $n$-dimensional Euclidean space with a given bounded external force of compact support. In dimensions $n\le 5$, the existence of such solutions was known. In this paper, we extend it to dimensions $n\le 15$.

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YanYan Li, Zhuolun Yang. 2021-01-10. Regular solutions of the stationary Navier-Stokes equations on high dimensional Euclidean space. https://arxiv.org/abs/2101.03640

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