The existence for the classical solution of the Navier-Stokes equations

Jianfeng Wang

The existence for the classical solution of the Navier-Stokes equations

General Mathematics 2024-05-10 v1

Authors: Jianfeng Wang

Abstract

In this paper we will discuss the existence for the classical solution of the Navier-Stokes equations. First, we transform it into generalized integral equations. Next, we discuss the existence of the classical solution by Leray-Schauder degree and Sobolev space\ $H^{-m_{1}}(\Omega_{1})$ .

Keywords

Navier-Stokes equations classical solution existence Leray-Schauder degree Sobolev space generalized integral equation

Cite

@article{arxiv.2405.05283,
  title  = {The existence for the classical solution of the Navier-Stokes equations},
  author = {Jianfeng Wang},
  journal= {arXiv preprint arXiv:2405.05283},
  year   = {2024}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2303.16444

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