English

Cylindrical Symplectic Representation and Global Regular Solution of Incompressible Navier-Stokes Equations in $\mathbb{R}^3$

Analysis of PDEs 2023-12-01 v1

Abstract

The existence and uniqueness of global regular solution of incompressible Navier-Stokes equations in R3\mathbb{R}^3 are derived provided the initial velocity vector field holds a special structure.

Cite

@article{arxiv.2311.18315,
  title  = {Cylindrical Symplectic Representation and Global Regular Solution of Incompressible Navier-Stokes Equations in $\mathbb{R}^3$},
  author = {Yongqian Han},
  journal= {arXiv preprint arXiv:2311.18315},
  year   = {2023}
}

Comments

28 pages. arXiv admin note: text overlap with arXiv:2305.13737