Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Concentration versus absorption for the Vlasov-Navier-Stokes system on
  bounded domains   We study the large time behavior of small data solutions to the
Vlasov-Navier-Stokes system set on $\Omega \times \mathbb{R}^3$, for a smooth
bounded domain $\Omega$ of $\mathbb{R}^3$, with homogeneous Dirichlet boundary
condition for the fluid and absorption boundary condition for the kinetic
phase. We prove that the fluid velocity homogenizes to $0$ while the
distribution function concentrates towards a Dirac mass in velocity centered at
$0$, with an exponential rate. The proof, which follows the methods introduced
in [Han-Kwan - Moussa - Moyano, arXiv:1902.03864v2], requires a careful
analysis of the boundary effects. We also exhibit examples of classes of
initial data leading to a variety of asymptotic behaviors for the kinetic
density, from total absorption to no absorption at all.

22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat