On the existence and uniqueness of a solution for second or third grade fluids;Sur l'existence et l'unicité de solution des fluides de grade 2 ou 3

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 324, Issue 5, 1997, Pages 605-610

  Bresch, Didier ^a   Lemoine, Jérôme ^a  

^a UNIVERSITÉ BLAISE PASCAL   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031094063     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(99)80398-x     Document Type: Article

References (12)

1. [1] Amrouche C., 1986. Étude globale des fluides non Newtoniens de troisième grade. Thèse d'Université Pierre et Marie Curie.
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3. [3] Bresch D. et Lemoine L., 1996. On the existence of solutions for non stationary third-grade fluids. Prépublication de l'Université Blaise Pascal (Clermont-Ferrand II)
4. [4] Bresch D. et Lemoine L., 1996. Stationary solutions for second-grade fluids equations, Prépublication de l'Université Blaise Pascal (Clermont-Ferrand II).
5. [5] Cioranescu D. et Girault V., 1997. Weak and classical solutions of a family of second grade fluids, Internat. J. Mech. Anal. (à paraître).
6. [6] Coscia V., Sequeira A. et Videman J., 1994. Existence and Uniqueness of Classical Solutions for a Class of Complexity 2 Fluids. Preprint Instituto Superior Ténico de Lisboa.
7. [7] Dunn J. E., Fosdick R. L., 1974. Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade, Arch. Rational Mech. Anal, 56, 3, p. 191-252.
8. [8] Fosdick R.L. et Rajagopal K.R., 1980. Thermodynamics and stability of fluids of third grade. Proc. Roy. Soc. London, A 339, p. 351-377.
9. [9] Galdi G.P., 1995. Mathematical theory of second-grade fluids. Proc. of CISM Course on "Stability and wave propagation in Fluids and Solids", Springer Verlag.
10. [10] Galdi G.P. et A. Sequeira A., 1994. Further existence results for classical solutions of the equations of a second grade fluid. Arch. Rational Mech. Anal., 128, p. 297-312.
11. [11] Rivlin R.S. et Ericksen J.L., 1955. Stress-deformation relations for isotropic materials, J. Rational Mech. Anal., 4, p. 323-425.
12. [12] Renardy M., Hrusa W.J. et Nohel J.A., 1987. Mathematical Problems in Viscoelasticity. Pitman Monographs Surveys Pure App. Math., 35.