Page 504 - 8th European Congress of Mathematics ∙ 20-26 June 2021 ∙ Portorož, Slovenia ∙ Book of Abstracts
P. 504
MATHEMATICAL ANALYSIS: THE INTERACTION OF FLUIDS/ VISCOELASTIC
MATERIALS AND SOLIDS (MS-36)
Flow of heat conducting fluid on domain changing in time
Aneta Wróblewska Kamin´ska, awrob@impan.pl
Institute of Mathematics, Polish Academy of Sciences, Poland
We consider a flow of heat conducting fluid inside a moving domain whose shape in time is
prescribed by a given velocity field. The flow in this case is governed by the compressible
Navier-Stokes-Fourier system consisting of equation of continuity, momentum balance, entropy
balance and energy equality. The velocity is supposed to fulfil the full-slip boundary condition
and we assume that the fluid is thermally isolated. In the presented article we show the existence
of a variational solution. To this end we construct proper penalising approximation. This result
is a joint work with O. Kreml, V. Macha, and S. Necasova.
502
MATERIALS AND SOLIDS (MS-36)
Flow of heat conducting fluid on domain changing in time
Aneta Wróblewska Kamin´ska, awrob@impan.pl
Institute of Mathematics, Polish Academy of Sciences, Poland
We consider a flow of heat conducting fluid inside a moving domain whose shape in time is
prescribed by a given velocity field. The flow in this case is governed by the compressible
Navier-Stokes-Fourier system consisting of equation of continuity, momentum balance, entropy
balance and energy equality. The velocity is supposed to fulfil the full-slip boundary condition
and we assume that the fluid is thermally isolated. In the presented article we show the existence
of a variational solution. To this end we construct proper penalising approximation. This result
is a joint work with O. Kreml, V. Macha, and S. Necasova.
502
