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Steady compressible Navier–Stokes equations in domains with non-compact boundaries

✍ Scribed by S. Novo; A. Novotný; M. Pokorný

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
294 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

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.

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