Bipolar barotropic nonnewtonian fluid
Matušů-Nečasová, Šárka ; Medviďová, Mária
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 467-483 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 1994-01-01
Classification:  35Q35,  76A05,  76N10 
@article{118687,
     author = {\v S\'arka Matu\v s\r u-Ne\v casov\'a and M\'aria Medvi\v dov\'a},
     title = {Bipolar barotropic nonnewtonian fluid},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {467-483},
     zbl = {0809.76001},
     mrnumber = {1307274},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118687}
}

Matušů-Nečasová, Šárka; Medviďová, Mária. Bipolar barotropic nonnewtonian fluid. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 467-483. http://gdmltest.u-ga.fr/item/118687/

Adams R.A. Sobolev spaces, Academic Press, New York, San Francisco, London, 1975. | MR 0450957

Nečas J.; Šilhavý M. Multipolar viscous fluids, Quart. of Appl. Math. XLIX (1991), 247-266. (1991) | MR 1106391

Nečas J.; Novotný A.; Šilhavý M. Global solutions to the compressible isothermal multipolar fluid, J. Math. Anal. Appl. (1991). (1991) | MR 1135273

Nečas J.; Novotný A.; Šilhavý M. Global solutions to the viscous compressible barotropic multipolar gas, Theoret. Comp. Fluid Dynamics 4 (1992). (1992)

Nečas J.; Novotný A. Some qualitative properties of the viscous compressible heat conductive multipolar fluid, Commun. in Part. Dif. Eq. 16 (1991). (1991) | MR 1104099

Lions J.J. Quelques méthodes de résolution des problèmes aux limites nonlinéaires, Dunod, Paris, 1969, .

Kufner A.; John O.; Fučík S. Functional Spaces, Academia Prague, 1977.

Málek J.; Nečas J.; Růžička Measure valued solutions to nonnewtonian incompressible fluids in bounded domains, to appear.

Nečas J. Les méthodes directes en théorie des équations elliptiques, Prague, 1967. | MR 0227584

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. (1991) | MR 1093482

Nečas J. Theory of multipolar viscous fluids, The Mathematics of Finite Elements and Applications VII (1991), 233-244. (1991) | MR 1132501

Bellout H.; Bloom R.; Nečas J. Phenomenical behaviour of multipolar viscous fluid, to appear in the Quaterly Appl. Math.

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.