Work

Global derivation of a Boussinesq–Navier–Stokes type system from fluid-kinetic equations

Year: 2025

Type: article

Abstract: We study a hydrodynamic limit of the Vlasov–Navier–Stokes system with external gravity force. We answer a question raised by Han-Kwan and Michel in [48] concerning the limit towards a Boussinesq–Navier–Stokes type system. Our work provides a rigorous derivation of such hydrodynamic equations for arbitrarily large times, starting from the previous fluid-kinetic coupling. To do so, we consider a particular spatial geometric setting corresponding to the half-space case. Our proof is based on an absorption effect at the boundary which leads to crucial decay in time estimates.

Source: Annales de la faculté des sciences de Toulouse Mathématiques

DOI: 10.5802/afst.1796

Author: Lucas Ertzbischoff

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4407103036

FWCI: 3.771

Cites: 87

Cited by: 2

Related to: 10