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Remarks on the almost sure well-posedness for incompressible Navier-Stokes equations with arbitrary regularity

Analysis of PDEs 2022-07-25 v2

Abstract

In this note, we study the random data problem for incompressible Navier-Stokes equations in Euclidean space with arbitrary regularity, using the randomization introduced in \cite{Shen-Soffer-Wu-2021-1}.

Keywords

Cite

@article{arxiv.2204.02660,
  title  = {Remarks on the almost sure well-posedness for incompressible Navier-Stokes equations with arbitrary regularity},
  author = {Ruobing Bai and Jia Shen},
  journal= {arXiv preprint arXiv:2204.02660},
  year   = {2022}
}

Comments

9 pages; the proof has been simplified