Some general external forces and critical mild solutions for the fractional Navier-Stokes equations
Analysis of PDEs
2025-03-25 v1
Abstract
In this article we study mild solutions for the forced, incompressible fractional Navier-Stokes equations. These solutions are classically obtained via a fixed-point argument which relies on suitable estimates for the initial data, the nonlinearity and the external forces. Many functional spaces can be considered, however we are mainly interested here in a critical setting which ensures the existence of global solutions. We give some examples of such critical functional spaces and we discuss their relationship with generic external forces.
Keywords
Cite
@article{arxiv.2503.18450,
title = {Some general external forces and critical mild solutions for the fractional Navier-Stokes equations},
author = {Diego Chamorro and Maxence Mansais},
journal= {arXiv preprint arXiv:2503.18450},
year = {2025}
}