Space-time holomorphic solutions of Navier-Stokes equations

TL;DR

This paper introduces the concept of space-time holomorphic solutions for PDEs and constructs a meromorphic solution for the Navier-Stokes equations, expanding the analytical methods available for fluid dynamics.

Contribution

It presents a novel approach by defining space-time holomorphic solutions and provides the first meromorphic solution to Navier-Stokes equations.

Findings

Introduction of space-time holomorphic solutions concept

Construction of a meromorphic Navier-Stokes solution

Potential new analytical tools for fluid dynamics

Abstract

We introduce a concept of space-time holomorphic solutions of partial differential equations and construct a meromorphic solution of Navier-Stokes equations.