Mathematical analysis of the motion of a rigid body in a compressible Navier-Stokes-Fourier fluid
TAKAHASHI, Takéo
Institut Élie Cartan de Lorraine [IECL]
Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization [SPHINX]
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Institut Élie Cartan de Lorraine [IECL]
Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization [SPHINX]
TAKAHASHI, Takéo
Institut Élie Cartan de Lorraine [IECL]
Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization [SPHINX]
< Reduce
Institut Élie Cartan de Lorraine [IECL]
Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization [SPHINX]
Language
en
Article de revue
This item was published in
Mathematical News / Mathematische Nachrichten. 2019, vol. 292, n° 9, p. 1972-2017
Wiley-VCH Verlag
English 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 ...Read more >
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.Read less <
English Keywords
strong
AMS subject classifications 35Q30
solutions
maximal regularity
76D05
76N10
R-sectorial operators
Compressible Navier-Stokes-Fourier System
fluid-particle interaction
ANR Project
Interaction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010
Origin
Hal imported