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Steady compressible Navier–Stokes equations in domains with non‐compact boundaries
Author(s) -
Novo S.,
Novotný A.,
Pokorný M.
Publication year - 2005
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.623
Subject(s) - mathematics , isentropic process , infinity , adiabatic process , bounded function , compressibility , constant (computer programming) , mathematical analysis , compressible flow , flow (mathematics) , navier–stokes equations , geometry , mechanics , physics , thermodynamics , computer science , programming language
We consider the steady compressible Navier–Stokes equations of isentropic flow in three‐dimensional domains with several exits to infinity with prescribed pressure drops. On the one hand, when each exit is supposed to contain a cone inside, we shall construct bounded energy weak solution for adiabatic constant γ >3. On the other hand, when the exits do not open sufficiently rapidly, we shall prove a non‐existence result. Copyright © 2005 John Wiley & Sons, Ltd.