Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and uniqueness of strong solutions for the system of
  interaction between a compressible Navier-Stokes-Fourier fluid and a damped
  plate equation   The article is devoted to the mathematical analysis of a fluid-structure
interaction system where the fluid is compressible and heat conducting and
where the structure is deformable and located on a part of the boundary of the
fluid domain. The fluid motion is modeled by the compressible
Navier-Stokes-Fourier system and the structure displacement is described by a
structurally damped plate equation. Our main results are the existence of
strong solutions in an $L^p-L^q$ setting for small time or for small data.
Through a change of variables and a fixed point argument, the proof of the main
results is mainly based on the maximal regularity property of the corresponding
linear systems. For small time existence, this property is obtained by
decoupling the linear system into several standard linear systems whereas for
global existence and for small data, the maximal regularity property is proved
by showing that the corresponding linear coupled {\em fluid-structure} operator
is $\mathcal{R}-$sectorial.

11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th