Global derivation of a Boussinesq-Navier-Stokes type system from fluid-kinetic equations
Analysis of PDEs
2023-12-05 v2
Abstract
We study a hydrodynamic limit of the Vlasov-Navier-Stokes system with external gravity force, following the framework introduced by Han-Kwan and Michel in [Han-Kwan - Michel, arXiv:2103.06668]. We answer a question raised in the latter concerning the derivation of a Boussinesq-Navier-Stokes type system for arbitrarily large times, starting from the previous fluid-kinetic system. 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.
Keywords
Cite
@article{arxiv.2202.08181,
title = {Global derivation of a Boussinesq-Navier-Stokes type system from fluid-kinetic equations},
author = {Lucas Ertzbischoff},
journal= {arXiv preprint arXiv:2202.08181},
year = {2023}
}
Comments
Final revised version as accepted for publication