Conditions on the pressure for vanishing velocity in the incompressible fluid flows

TL;DR

This paper establishes specific pressure conditions under which the velocity field of incompressible fluid flows, described by Navier-Stokes and Euler equations, must vanish in b^N.

Contribution

It provides new sufficient conditions on pressure that guarantee zero velocity in incompressible fluid models, extending understanding of flow behavior.

Findings

Derived pressure conditions ensuring vanishing velocity

Applicable to Navier-Stokes and Euler equations in b^N

Enhances criteria for flow cessation in incompressible fluids

Abstract

In this paper we derive various sufficient conditions on the pressure for vanishing velocity in the incompressible Navier-Stokes and the Euler equations in $\Bbb R^N$.