TY - JOUR
T1 - On convergence to equilibria of flows of compressible viscous fluids under in/out-flux boundary conditions
AU - Brezina, Jan
AU - Feireisl, Eduard
AU - Novotný, Antonín
N1 - Funding Information:
2020 Mathematics Subject Classification. 35Q30, 37L15, 76N15. Key words and phrases. compressible Newtonian fluid, Navier–Stokes system, in/out–flux boundary conditions, long–time behavior. Jan Bˇrezina and Eduard Feireisl, The work of E.F. was partially supported by the Czech Sciences Foundation (GACˇR), Grant Agreement 18–05974S. The Institute of Mathematics of the Academy of Sciences of the Czech Republic is supported by RVO:67985840. Antonín Novotny´, The work of A.N. was supported by Brain Pool program funded by the Ministry of Science and ICT through the National Research Foundation of Korea (NRF-2019H1D3A2A01101128). ∗ Corresponding author: Jan Bˇrezina.
Publisher Copyright:
© 2021 American Institute of Mathematical Sciences. All rights reserved.
PY - 2021/8
Y1 - 2021/8
N2 - We consider the barotropic Navier-Stokes system describing the motion of a compressible Newtonian fluid in a bounded domain with in and out flux boundary conditions. We show that if the boundary velocity coincides with that of a rigid motion, all solutions converge to an equilibrium state for large times.
AB - We consider the barotropic Navier-Stokes system describing the motion of a compressible Newtonian fluid in a bounded domain with in and out flux boundary conditions. We show that if the boundary velocity coincides with that of a rigid motion, all solutions converge to an equilibrium state for large times.
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U2 - 10.3934/dcds.2021009
DO - 10.3934/dcds.2021009
M3 - Article
AN - SCOPUS:85105077114
SN - 1078-0947
VL - 41
SP - 3615
EP - 3627
JO - Discrete and Continuous Dynamical Systems- Series A
JF - Discrete and Continuous Dynamical Systems- Series A
IS - 8
ER -