Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical Analysis of the Motion of a Rigid Body in a Compressible
  Navier-Stokes-Fourier Fluid   We study an initial and boundary value problem modelling the motion of a
rigid body in a heat conducting gas. The solid is supposed to be a perfect
thermal insulator. The gas is described by the compressible
Navier-Stokes-Fourier equations, whereas the motion of the solid is governed by
Newton's laws. The main results assert the existence of strong solutions, in an
L p-L q setting, both locally in time and globally in time for small data. The
proof is essentially using the maximal regularity property of associated linear
systems. This property is checked by proving the R-sectoriality of the
corresponding operators, which in turn is obtained by a perturbation method.

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The categories of this paper are: q-bio
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: eess
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph