| Title:
|
On the exterior steady problem for the equations of a viscous isothermal gas (English) |
| Author:
|
Padula, Mariarosaria |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
2 |
| Year:
|
1993 |
| Pages:
|
275-293 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove existence and a representation formula for solutions to the equations describing steady flows of an isothermal, viscous, compressible gas having a positive infimum for the density $\varrho $, moving in an exterior domain, when the speed of the obstacle and the external forces are sufficiently small. (English) |
| Keyword:
|
compressible flows |
| Keyword:
|
existence of steady solutions |
| Keyword:
|
exterior domains |
| MSC:
|
35Q35 |
| MSC:
|
76N10 |
| MSC:
|
76N15 |
| idZBL:
|
Zbl 0778.76087 |
| idMR:
|
MR1241737 |
| . |
| Date available:
|
2009-01-08T18:03:23Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118581 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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Friedrichs K.O.: Symmetric positive linear differential equations.Comm. Pur. Appl. Math. 11 333-418. Zbl 0083.31802, MR 0100718 |
| Reference:
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Fujita Yashima H.: Sur l'équation de Navier-Stokes compressible stationaire.VII Congresso do Grupo ne Matematicos de Expressâo Latina, Actas vol. II, Coimbra. |
| Reference:
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Galdi G.P.: On the Oseen boundary-value problem in exterior domains.Proc. of ``The Navier-Stokes Equations Theory and Numerical Methods'', J.G. Heywood, K. Masuda, R. Rautmann, V.A. Solonnikov eds., Oberwolfach. Zbl 0783.35047 |
| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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Matsumura A., Nishida T.: Exterior stationary problems of motion of compressible viscous and heat-conductive fluids.Proc. EQUADIFF, Dafermos & Ladas & Papanicolau eds., M. Dekker Inc., 473-479. MR 1021749 |
| Reference:
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Novotný A., Padula M. (forthcoming): $L^p$-approach to steady flows of viscous compressible fluids in exterior domains.. |
| Reference:
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| Reference:
|
Padula M.: A representation formula for steady solutions of a compressible fluid moving at low speed.Transport Theory and Statistical Physics 21 (1992), 593-614. MR 1194463 |
| Reference:
|
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| Reference:
|
Simader C.G.: The weak Dirichlet and Neumann problem for the laplacian in $L^q$ for bounded and exterior domains.Applications, Nonlinear Analysis, Function Spaces and Applications 4, M. Krbec, A. Kufner, B. Opic, J. Rákosník eds., 180-250. MR 1151436 |
| . |
