On the existence and asymptotical behaviour of a steady flow of a viscous barotropic gas in a pipe

DOI10.1007/BF01782612zbMath0938.35142MaRDI QIDQ1817915

Konstantinas Pileckas, Mariarosaria Padula

Publication date: 4 January 2000

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessasymptotic behaviouriterationsauxiliary linear problemPoisson-Stokes equationsflux conditionchannels with finite cross-sections at infinitycontrol problem of Navier-Stokes typeisothermal viscous gas

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Flow control and optimization for compressible fluids and gas dynamics (76N25)

Related Items (2)

\(L^ p\)-approach to steady flows of viscous compressible fluids in exterior domains ⋮ ASYMPTOTIC ANALYSIS OF AN ISOTHERMAL GAS FLOW THROUGH A LONG OR THIN PIPE

Cites Work

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• A remark on the well posedness of the problem of a steady flow of a viscous barotropic gas in a pipe
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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