A remark on the well posedness of the problem of a steady flow of a viscous barotropic gas in a pipe

Journal Article · Mon Jul 01 04:00:00 EDT 1996 · Communications in Partial Differential Equations

DOI:https://doi.org/10.1080/03605309608821173· OSTI ID:255083

Novotny, A; Penel, P ^[1]; Padula, M ^[2]

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1. Univ. of Toulon end of Var, La Garde (France)
2. Dipartimento di Matematica, Ferrara (France)

The problem of a fluid flow in a pipe has received the attention of many scientists both for its mathematical and practical intrinsic interest. Indeed, even though the literature concerning the well posedness for incompressible viscous fluids in rich of interesting results, that one relative to the compressible viscous fluids is, on the contrary, ver poor. Here we wish to point out some essential differences which arise at once in setting the well posedness problem. We hope that this will shed more light upon the problem.

• Sponsoring Organization: USDOE
• OSTI ID: 255083
• Journal Information: Communications in Partial Differential Equations, Journal Name: Communications in Partial Differential Equations Journal Issue: 1-2 Vol. 21; ISSN CPDIDZ; ISSN 0360-5302
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS
BOUNDARY-VALUE PROBLEMS
COMPRESSIBLE FLOW
GAS FLOW
PARTIAL DIFFERENTIAL EQUATIONS
PIPES
STEADY FLOW
VISCOSITY