In:
Mathematische Nachrichten, Wiley, Vol. 292, No. 9 ( 2019-09), p. 1972-2017
Abstract:
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 ‐ 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 ‐sectoriality of the corresponding operators, which in turn is obtained by a perturbation method.
Type of Medium:
Online Resource
ISSN:
0025-584X
,
1522-2616
DOI:
10.1002/mana.201700425
Language:
English
Publisher:
Wiley
Publication Date:
2019
detail.hit.zdb_id:
124035-3
detail.hit.zdb_id:
1468223-0
SSG:
17,1
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