L^p solutions of the steady-state Navier-Stokes equations with rough external forces

TL;DR

This paper investigates the existence, asymptotic behavior, and stability of solutions to the steady-state Navier-Stokes equations under rough external forces within certain Lebesgue and weak Lebesgue spaces.

Contribution

It provides new results on solutions in L^p and weak L^p spaces for the steady Navier-Stokes equations with rough external forces.

Findings

Existence of solutions in L^p and L^{p, abla} spaces.

Analysis of asymptotic behavior of solutions.

Stability results under rough external forces.

Abstract

In this paper we address the existence, the asymptotic behavior and stability in $L^p$ and $L^{p,\infty}$, 3/2.