TY - JOUR
T1 - Globally bounded trajectories for the barotropic Navier–Stokes system with general boundary conditions
AU - Březina, Jan
AU - Feireisl, Eduard
AU - Novotný, Antonín
N1 - Funding Information:
The work of E.F. was partially supported by the Czech Sciences Foundation (GAČR), Grant Agreement 18-05974S. The Institute of Mathematics of the Academy of Sciences of the Czech Republic is supported by RVO:67985840.
Publisher Copyright:
© 2020 Taylor & Francis Group, LLC.
PY - 2020/9/5
Y1 - 2020/9/5
N2 - We consider the barotropic Navier–Stokes system describing the motion of a viscous compressible fluid interacting with the outer world through general in/out flux boundary conditions. We consider a hard-sphere type pressure EOS and show that all trajectories eventually enter a bounded absorbing set. In particular, the associated (Formula presented.) limit sets are compact and support a stationary statistical solution.
AB - We consider the barotropic Navier–Stokes system describing the motion of a viscous compressible fluid interacting with the outer world through general in/out flux boundary conditions. We consider a hard-sphere type pressure EOS and show that all trajectories eventually enter a bounded absorbing set. In particular, the associated (Formula presented.) limit sets are compact and support a stationary statistical solution.
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U2 - 10.1080/03605302.2020.1814326
DO - 10.1080/03605302.2020.1814326
M3 - Article
AN - SCOPUS:85090441597
SN - 0360-5302
VL - 45
SP - 1820
EP - 1832
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
IS - 12
ER -