Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundedness and large time behavior in a three-dimensional
  chemotaxis-Stokes system with nonlinear diffusion and general sensitivity   We consider a chemotaxis-fluid system involving nonlinear cell diffusion of
porous medium type, signal consumption by cells, and rather general, possibly
matrix-valued, chemotactic sensitivities. It is shown that if the corresponding
diffusion exponent $m$ satisfies $m>7/6$, then for all reasonably regaular
initial data an associated initial-boundary value problem in smoothly bounded
three-dimensional domains possesses a globally defined weak solution which is
bounded. Under a mild additional assumption on the signal consumption rate, it
is moreover shown that any nontrivial of these solutions stabilizes toward a
spatially homogeneous equilibrium in the large time limit.

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The categories of this paper are: physics
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
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The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat