Title:
|
Steady plane flow of second-grade fluid in exterior domains (English) |
Author:
|
Pokorný, Milan |
Language:
|
English |
Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
ISSN:
|
0231-9721 |
Volume:
|
36 |
Issue:
|
1 |
Year:
|
1997 |
Pages:
|
167-177 |
. |
Category:
|
math |
. |
MSC:
|
35Q35 |
MSC:
|
76A05 |
idZBL:
|
Zbl 0953.76519 |
idMR:
|
MR1620561 |
. |
Date available:
|
2009-01-29T15:51:04Z |
Last updated:
|
2012-05-03 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120364 |
. |
Reference:
|
[DuFo] Dunn J. E., Fosdick R. L.: Thermodynamics, Stability and Boundedness of Fluids of Complexity 2 and Fluids of Second Grade.Arch. Rational Mech. Anal. 56, (1974) 191-252. Zbl 0324.76001, MR 0351249 |
Reference:
|
[DuRa] Dunn J. E., Rajagopal K. R.: Fluids of Differential Type: Critical Rewiev and Thermodynamic Analysis.Int. J. Engng Sci. 33, (1995) 689-729. MR 1321925 |
Reference:
|
[Ga1] Galdi G. P.: An Introduction to the Mathematical Theory of the Navier-Stokes Equations I.Springer Tracts in Natural Philosophy 38, Springer, New York, (1994). MR 2808162 |
Reference:
|
[Ga2] Galdi G. P.: An Introduction to the Mathematical Theory of the Navier-Stokes Equations II.Springer Tracts in Natural Philosophy 39, Springer, New York, (1994). MR 2808162 |
Reference:
|
[GaSe] Galdi G. P., Sequeira A.: Further Existence Results for Classical Solutions of the Equations of a Second-Grade Fluid.Arch. Rational Mech. Anal. 128, (1994) 297-312. Zbl 0833.76005, MR 1308855 |
Reference:
|
[Ma] Maremonti P.: Some Interpolation Inequalities Involving Stokes Operator and First Order Derivatives.(preprint, University of Potenza) (1996). MR 1748216 |
Reference:
|
[MoSo] Mogilevskii I., Solonnikov V. A.: Problem on a Stationary Flow of Second-Grade Fluid in Hölder Classes of Functions.Proc. Sci. Sem. Pomi, (to appear). MR 1190731 |
Reference:
|
[No] Novotný A.: About Steady Transport Equation I - $L^p$ approach in domains with smooth boundaries.Comment. Math. Univ. Carolinae 37, 1 (1996) 43-89. MR 1396161 |
Reference:
|
[NoSeVi] Novotný A., Sequeira A., Videman J.: Existence of threedimensional flows of second grade fluids past an obstacle.Proc. Second World Congress of Nonlinear Analysis, Athenes, 1996, (to appear). |
Reference:
|
[PiSeVi] Pileckas K., Sequeira A., Videman J.: A Note on Steady Flows of Non-Newtonian Fluids in Channels and Pipes.In: Magalhães L., Sanchez L., Roch C., (eds.) EQUADIFF-95, World Scientific, (to appear). Zbl 0962.35144, MR 1639401 |
Reference:
|
[Po] Pokorný M.: Asymptotic Behaviour of Certain Solutions of Equations Describing the Motion of Fluids in Unbounded Domains.PhD Thesis, Charles University Prague and Universite de Toulon et du Var, Toulon (in preparation). |
Reference:
|
[TrNo] Truesdell, C, Noll W.: The Nonlinear Field Theories of Mechanics.Handbuch der Physik, III/3, Springer-Verlag, Heidelberg, (1965). MR 1215940 |
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