The Navier–Stokes limit of kinetic equations for low regularity data
Abstract
In this paper, we investigate the link between kinetic equations (including Boltzmann with or without cutoff assumption and Landau equations) and the incompressible Navier-Stokes equation. We work with strong solutions and we treat all the cases in a unified framework. The main purpose of this work is to be as accurate as possible in terms of functional spaces. More precisely, it is well-known that the Navier-Stokes equation can be solved in a lower regularity setting (in the space variable) than kinetic equations. Our main result allows to get a rigorous link between solutions to the Navier-Stokes equation with such low regularity data and kinetic equations.
Fields of Study & Subjects
Gas Dynamics and Kinetic Theory
Mathematical Biology Tumor Growth
Advanced Thermodynamics and Statistical Mechanics
Publication details
- Journal / source
- Tunisian Journal of Mathematics
- Volume
- 8
- Issue
- 3
- Pages
- 497–538
- Publication date
- 6 May 2026
- Language
- EN