English

A solution to the incompressible Navier-Stokes Equation

General Mathematics 2022-10-28 v9

Abstract

For the N>=2 dimensional incompressible Naver-Stokes Equation, We have got its solution as a power series of time t, in which the coefficients are all known functions determined only by the initial velocity v0. We also prove that the solution series is convergent globally, so that the existence and smoothness problem are solved.

Keywords

Cite

@article{arxiv.2102.11873,
  title  = {A solution to the incompressible Navier-Stokes Equation},
  author = {Yanyou Qiao},
  journal= {arXiv preprint arXiv:2102.11873},
  year   = {2022}
}

Comments

The convergence study of the series in section 4 and section 5 have bugs

R2 v1 2026-06-23T23:26:56.849Z