| Title:
|
Bipolar barotropic nonnewtonian fluid (English) |
| Author:
|
Matušů - Nečasová, Šárka |
| Author:
|
Medviďová, Mária |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
467-483 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper describes the special situation of barotropic nonnewtonian fluid, where stress tensor can be written in the form of potentials which depend on $e_{ij}$ and $(\frac {\partial e_{ij}}{\partial x_k})$. For this case, we prove the existence and uniqueness of weak solution. (English) |
| Keyword:
|
barotropic nonnewtonian fluid |
| Keyword:
|
bipolar fluid |
| Keyword:
|
existence |
| Keyword:
|
uniqueness |
| Keyword:
|
weak solution |
| MSC:
|
35Q35 |
| MSC:
|
76A05 |
| MSC:
|
76N10 |
| idZBL:
|
Zbl 0809.76001 |
| idMR:
|
MR1307274 |
| . |
| Date available:
|
2009-01-08T18:12:35Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118687 |
| . |
| Reference:
|
[1] Adams R.A.: Sobolev spaces.Academic Press, New York, San Francisco, London, 1975. MR 0450957 |
| Reference:
|
[2] Nečas J., Šilhavý M.: Multipolar viscous fluids.Quart. of Appl. Math. XLIX (1991), 247-266. MR 1106391 |
| Reference:
|
[3] Nečas J., Novotný A., Šilhavý M.: Global solutions to the compressible isothermal multipolar fluid.J. Math. Anal. Appl. (1991). MR 1135273 |
| Reference:
|
[4] Nečas J., Novotný A., Šilhavý M.: Global solutions to the viscous compressible barotropic multipolar gas.Theoret. Comp. Fluid Dynamics 4 (1992). |
| Reference:
|
[5] Nečas J., Novotný A.: Some qualitative properties of the viscous compressible heat conductive multipolar fluid.Commun. in Part. Dif. Eq. 16 (1991). MR 1104099 |
| Reference:
|
[6] Lions J.J.: Quelques méthodes de résolution des problèmes aux limites nonlinéaires, Dunod, Paris, 1969.. |
| Reference:
|
[7] Kufner A., John O., Fučík S.: Functional Spaces.Academia Prague, 1977. |
| Reference:
|
[8] Málek J., Nečas J., Růžička: Measure valued solutions to nonnewtonian incompressible fluids in bounded domains.to appear. |
| Reference:
|
[9] Nečas J.: Les méthodes directes en théorie des équations elliptiques.Prague, 1967. MR 0227584 |
| Reference:
|
[10] Matušů-Nečasová Š.: Global solution to the isothermal compressible bipolar fluid in a finite channel with nonzero input and output.Applications of Mathematics 36 (1991), 46-71. MR 1093482 |
| Reference:
|
[11] Nečas J.: Theory of multipolar viscous fluids.The Mathematics of Finite Elements and Applications VII (1991), 233-244. MR 1132501 |
| Reference:
|
[12] Bellout H., Bloom R., Nečas J.: Phenomenical behaviour of multipolar viscous fluid.to appear in the Quaterly Appl. Math. |
| Reference:
|
[13] Nečas J.: Sur les normes équivalentes dans $ W_p^k(Ømega)$ et sur la coercivité des formes formellement positives.Les presses de l'Université de Montréal, 1966. |
| . |
