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

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 $n\le 15$. This is a joint work with Zhuolun Yang.

analysis of PDEs

Audience: researchers in the topic

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