Slow motion of a body in a fluid of second grade

International Journal of Engineering Science

Volumn 35, Issue 1, 1997, Pages 33-54

  Galdi, Giovanni P ^a   Rajagopal, K R ^b  

^a UNIVERSITY OF FERRARA   (Italy)

^b Department of Electrical and Computer Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002354366     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7225(96)00064-x     Document Type: Article

References (29)

1. Stokes, G. G., Trans. Camb. Phil. Soc., 1851, 8, 8.
2. Truesdell, C. and Noll, W., The nonlinear field theories of mechanics. In Handbuch der Physik, Vol. III(3). Springer, Heidelberg, 1965.
3. Truesdell, C. A., Phys. Fluids, 1964, 7, 1134.
4. Fosdick, R. L. and Rajagopal, K. R., Int. J. Non-Linear Mech., 1979, 14, 361.
5. Tanner, R. I., Phys. Fluids, 1966, 9, 1246.
6. Huilgol, R. R., SIAM J. Appl. Math., 1973, 24, 226.
7. Rajagopal, K. R., Rendiconti Sci. Mat. ed Appl, Ist. Lombardo Accad. Sci, 1982, 116, 319.
8. Noll, W., (cited in Coleman, B. D., Duffin, R. J. and Mizel, V. I., Arch. Rational Mech. Anal., 1965, 19, 100).
9. Dunn, J. E. and Fosdick, R. L., Arch. Rational Mech. Anal., 1974, 56, 191.
10. Oseen, C. W., Neuere Methoden und Ergebnisse in der Hydrodynamik. Akad. Verlagsgesellschaft M.B.H., Leipzig, 1927.
11. Rivlin, R. S. and Ericksen, J. L., J. Rational Mech. Anal., 1955, 3, 323.
12. Dunn, J. E. and Rajagopal, K. R., Int. J. Engng Sci., 1995, 33, 689.
13. Galdi, G. P., Grobbelaar-van Dalsen, M. and Sauer, N., Arch. Rational Mech. Anal., 1993, 124, 221.
14. Galdi, G. P. and Sequeira, A., Arch. Rational Mech. Anal., 1994, 128, 297.
15. Coscia, V. and Galdi, G. P., Int. J. Non-Linear Mech., 1994, 29, 493.
16. Coscia, V., Sequeira, A. and Videman, J., Int. J. Non-Linear Mech. (in press).
17. Oskolkov, A. P., Zap. Nauch. Semi. LOMI, 1972, 27, 145.
18. Cioranescu, D. and El Hacène, O., Existence and uniqueness for fluids of second grade. Research Notes in Mathematics, Pitman, Boston, MA, 1984, p. 178.
19. Simader, C. G. and Sohr, H., in Mathematical Problems Related to the Navier-Stokes Equation, Vol. 11, ed. G. P. Galdi. Advances in Mathematics for Applied Science, World Scientific, Singapore, 1992, pp. 1-35.
20. Galdi, G. P., An Introduction to the Mathematical Theory of the Navier-Stokes Equations-Vol. I. Springer Tracts in Natural Philosophy, Vol. 38. Springer, Berlin, 1994.
21. Friederichs, K. O., Comm. Pure Appl. Math., 1958, 11, 333.
22. Fichera, G., Atti Accad. Naz. Lincei, Mem. Sc. Fis. Mat. Sez. I, 1956, 5, 1.
23. Mizohata, S., The Theory of Partial Differential Equations. Cambridge University Press, Cambridge, 1973.
24. Beirão da Veiga, H., Existence results in sobolev spaces for a stationary transport equation. Ricerche di Mat. Volume in honor of C. Miranda, 1987.
25. p-approach in Domains with Smooth Boundaries. Laboratoire M.S./E.T.M.A., Université de Toulon et du Var, Preprint, 1993.
26. Ladyzhenskaya, O. A., The Mathematical Theory of Viscous Incompressible Flow. Gordon and Breach, Reading, 1969.
27. q in Bounded and Exterior Domains. Pitman Research Notes in Mathematics, Pitman, London (in press).
28. Nečas, J., Les Méthodes Directes en Théorie des Équations Elliptiques. Masson, Paris, 1967.
29. Kato, T., Perturbation Theory for Linear Operators Die Grundlehren der Matematischen Wissenschaften. Springer, Berlin, 1966.