Analytic Solution of the N-Dimensional Incompressible Navier-Stokes Equations

TL;DR

This paper provides an analytic solution to the N-dimensional incompressible Navier-Stokes equations using recurrence relations, aiming to address the Millennium Prize problem on existence and smoothness.

Contribution

It introduces a novel analytic approach with recurrence relations for derivatives, contributing to the understanding of Navier-Stokes solutions.

Findings

Derived recurrence relations for derivatives of solutions

Addresses the Millennium Prize problem on existence and smoothness

Proposes a new analytic framework for Navier-Stokes equations

Abstract

This paper presents an analytic solution of the incompressible Navier-Stokes equations as recurrence relations for the solution's derivatives, addressing the Clay Mathematics Institute's Millennium Prize problem on Navier-Stokes existence and smoothness.