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

YanYan Li; Zhuolun Yang

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

Analysis of PDEs 2022-05-05 v3

Authors: YanYan Li , Zhuolun Yang

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 $n\le 15$ .

Keywords

Navier-Stokes equations regular solutions stationary Euclidean space external force

Cite

@article{arxiv.2101.03640,
  title  = {Regular solutions of the stationary Navier-Stokes equations on high dimensional Euclidean space},
  author = {YanYan Li and Zhuolun Yang},
  journal= {arXiv preprint arXiv:2101.03640},
  year   = {2022}
}

Comments

Exposition improved. To appear in Comm. Math. Phys

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