Existence of Smooth Solutions of the Navier-Stokes Equations

TL;DR

This paper proves the existence of smooth solutions to the Navier-Stokes equations, addressing a longstanding open problem in mathematical fluid dynamics.

Contribution

It provides a positive proof for the existence of smooth solutions, advancing understanding of the Navier-Stokes problem.

Findings

Existence of smooth solutions confirmed for Navier-Stokes equations.

Addresses the problem posed by Fefferman.

Contributes to the mathematical theory of fluid dynamics.

Abstract

In this paper, we prove existence of smooth solutions of the Navier-Stokes equations that gives a positive answer to the problem proposed by Fefferman [3].