论文标题
来自流体运动方程的Boussinesq-navier-Stokes类型系统的全局推导
Global derivation of a Boussinesq-Navier-Stokes type system from fluid-kinetic equations
论文作者
论文摘要
我们研究了由Han-Kwan和Michel在[Han-Kwan-Michel，Arxiv：2103.06668]引入的框架之后，研究了具有外部重力力的Vlasov-Navier-Stokes系统的流体动力极限。我们回答了后者在后者中提出的一个问题，该问题是从先前的流体运动系统开始的，该系统是任意大时的boussinesq-navier-Stokes类型系统。为此，我们考虑了与半空间情况相对应的特定空间几何设置。我们的证明是基于边界处的吸收效应，这会导致时间估计的关键衰减。
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.
