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

preprint2022arXivOpen access

Abstract

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

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