| Title:
|
Measure-valued solutions and asymptotic behavior of a multipolar model of a boundary layer (English) |
| Author:
|
Málek, Josef |
| Author:
|
Nečas, Jindřich |
| Author:
|
Novotný, Antonín |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
549-576 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B40 |
| MSC:
|
35Q30 |
| MSC:
|
35Q35 |
| MSC:
|
73B25 |
| MSC:
|
76A05 |
| MSC:
|
76A99 |
| MSC:
|
76D10 |
| idZBL:
|
Zbl 0774.76008 |
| idMR:
|
MR1179317 |
| DOI:
|
10.21136/CMJ.1992.128342 |
| . |
| Date available:
|
2009-09-24T09:24:08Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128342 |
| . |
| Reference:
|
[1] A.V. Babin, M.I. Višik: Attractors of partial differential equations and estimates of their dimensions.Uspekhi Mat. Nauk 38 (1983). (Russian) MR 1182818 |
| Reference:
|
[2] J. Ball: A version of the fundamental theorem for Young measures.PDE’s and continuum models of phase transitions, Lecture Notes in Physics 344 (1989), 207–215. Zbl 0991.49500, MR 1036070, 10.1007/BFb0024945 |
| Reference:
|
[3] H. Bellout, F. Bloom, J. Nečas: Phenomenological behavior multipolar viscous fluids.(to appear). MR 1178435 |
| Reference:
|
[4] R.E. Edwards: Functional analysis.Rinehart and Winston, Holt, 1965. Zbl 0182.16101, MR 0221256 |
| Reference:
|
[5] A.E. Green, R.S. Rivlin: Multipolar continuum mechanics.Arch. Rat. Mech. Anal. 16 (1964), 325–353. MR 0182191 |
| Reference:
|
[6] A.E. Green, R.S. Rivlin: Simple force and stress multipoles.Arch. Rat. Mech. Anal. 17 (1964), 113–147. MR 0182192 |
| Reference:
|
[7] E. Hewitt, K. Stromberg: Real and abstract analysis.Springer, 1965. MR 0367121 |
| Reference:
|
[8] M.A. Krasnoselski, J.B. Ruticki: Convex functions and Orlicz spaces.GITL, Moscow, 1958. (Russian) MR 0106412 |
| Reference:
|
[9] O.A. Ladyženskaya: Mathematical problems of dynamics of viscous incompressible fluids.Nauka, Moscow. (Russian) |
| Reference:
|
[10] O.A. Ladyženskaya: On the finiteness of the dimension of bounded invariant sets for the Navier-Stokes equations and other related dissipative systems.J. Soviet Math. 28.no.5 (1985), 714–725. 10.1007/BF02112336 |
| Reference:
|
[11] J.L. Lions: Quelques méthodes de résolution des problèmes aux limites non linéaires.Dunod, Paris, 1969. Zbl 0189.40603, MR 0259693 |
| Reference:
|
[12] J.L. Lions, E. Magenes: Problèmes aux limites non homogènes et applications.Dunod, Paris, 1968. |
| Reference:
|
[13] J. Nečas: Sur les normes équivalentes dans $W^k_p (\Omega )$ et sur la coercivité des formes formellement positives.Les presses de lUnivesité de Montréal (1966). |
| Reference:
|
[14] J. Nečas, A. Novotný: Some qualitative properties of the viscous compressible multipolar heat conductive flow.Commun. in Partial Differential Equations 16(2&3) (1991), 197–220. MR 1104099, 10.1080/03605309108820757 |
| Reference:
|
[15] J. Nečas, A. Novotný, M. Šilhavý: Global solution to the compressible isothermal multipolar fluid.J. Math. Anal. Appl. 162 (1991), 223–241. MR 1135273, 10.1016/0022-247X(91)90189-7 |
| Reference:
|
[16] J. Nečas, A. Novotný, M. Šilhavý: Global solution to the ideal compressible heat-conductive fluid.Comment. Math. Univ. Carolinae 30,3 (1989), 551–564. MR 1031872 |
| Reference:
|
[17] J. Nečas, A. Novotný, M. Šilhavý: Global solution to the viscous compressible barotropic fluid.(to appear). |
| Reference:
|
[18] J. Nečas, M. Šilhavý: Multipolar viscous fluids.Quart. Appl. Math. 49 (1991), 247–265. MR 1106391, 10.1090/qam/1106391 |
| Reference:
|
[19] A. Novotný: Viscous multipolar fluids—physical background and mathematical theory.Progress in Physics 39 (1991). MR 1184232 |
| Reference:
|
[20] Simon J.: Compact sets in the space $L^p(0,T;B)$.Annali di Mat. Pura ed Applic. 146 (1987), 65–96. MR 0916688 |
| Reference:
|
[21] R. Temam: Infinite-dimensional dynamical systems in mechanics and physics.Springer-Verlag, New York, 1988. Zbl 0662.35001, MR 0953967 |
| . |
