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On the Regularity for 3D Navier-Stokes Equation

General Mathematics 2023-01-18 v9

Abstract

In this paper we will prove that the vorticity belongs to L1(0; T ; L2(\Omega)) for 3D incompressible Navier-Stokes equation with periodic initial-boundary value conditions, then the existence of a global smooth solution is obtained. Our approach is to construct a set of auxiliary problems to approximate the original one of vorticity equation.

Keywords

Cite

@article{arxiv.1308.2297,
  title  = {On the Regularity for 3D Navier-Stokes Equation},
  author = {Qun Lin},
  journal= {arXiv preprint arXiv:1308.2297},
  year   = {2023}
}

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modification

R2 v1 2026-06-22T01:07:22.561Z