Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic analysis for a Vlasov-Fokker-Planck/Navier-Stokes system in a
  bounded domain   We study an asymptotic analysis of a coupled system of kinetic and fluid
equations. More precisely, we deal with the nonlinear Vlasov-Fokker-Planck
equation coupled with the compressible isentropic Navier-Stokes system through
a drag force in a bounded domain with the specular reflection boundary
condition for the kinetic equation and homogeneous Dirichlet boundary condition
for the fluid system. We establish a rigorous hydrodynamic limit corresponding
to strong noise and local alignment force. The limiting system is a type of
two-phase fluid model consisting of the isothermal Euler system and the
compressible Navier-Stokes system. Our main strategy relies on the relative
entropy argument based on the weak-strong uniqueness principle. For this, we
provide a global-in-time existence of weak solutions for the coupled
kinetic-fluid system. We also show the existence and uniqueness of strong
solutions to the limiting system in a bounded domain with the kinematic
boundary condition for the Euler system and Dirichlet boundary condition for
the Navier-Stokes system.

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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th