On the p-Adic Navier-Stokes Equation

TL;DR

This paper proves the local solvability of a p-adic version of the Navier-Stokes equation, modeling fluid flow in capillaries within a p-adic porous medium framework.

Contribution

It introduces and establishes the local solvability of a novel p-adic Navier-Stokes equation for fluid dynamics in porous media.

Findings

Proved local solvability of the p-adic Navier-Stokes equation

Model describes fluid flow in p-adic porous medium

Provides mathematical foundation for p-adic fluid dynamics

Abstract

We prove the local solvability of the p-adic analog of the Navier-Stokes equation. This equation describes, within the p-adic model of porous medium, the flow of a fluid in capillaries.