Weak and classical solutions of equations of motion for third grade fluids
ESAIM: Modélisation mathématique et analyse numérique, Tome 33 (1999) no. 6, pp. 1091-1120.
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     title = {Weak and classical solutions of equations of motion for third grade fluids},
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     number = {6},
     year = {1999},
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Bernard, Jean-Marie. Weak and classical solutions of equations of motion for third grade fluids. ESAIM: Modélisation mathématique et analyse numérique, Tome 33 (1999) no. 6, pp. 1091-1120. http://archive.numdam.org/item/M2AN_1999__33_6_1091_0/

[1] C. Amrouche, Etude Globale des Fluides de Troisième Grade. Thèse de 3e cycle,Université Pierre et Marie Curie, France (1986).

[2] C. Amrouche, C. Bernardi, M. Dauge and V. Girault, Vector potentials in Three-Dimensional Nonsmooth Domains. Math. Methods Appl. Sci. 21 (1998) 823-864. | MR | Zbl

[3] C. Amrouche and D. Cioranescu, On a class of fluids of grade 3. Internat. J. Non-linear Mech. 32 (1997) 73-88. | MR | Zbl

[4] D. Bresch and J. Lemome, On the Existence of Strong Solutions for Non-Stationary Third-Grade Fluids Preprint, Université Blaise Pascal, Clermont-Ferrand (1996).

[5] D. Cioranescu and V. Girault, Weak and classical solutions of a family of second grade fluids. Internat J. Non-linear Mech. 32 (1997) 317-335. | MR | Zbl

[6] D. Cioranescu and E. H. Ouazar, Existence et unicité pour les fluides de second grade. C. R. Acad. Sci. Sér. I 298 (1984) 285-287. | MR | Zbl

[7] D. Cioranescu and E. H. Ouazar, Existence and uniqueness for fluids of second grade, in Nonlinear Partial Differential Equations, Collège de France Seminar, Pitman, 109 (1984) 178-197. | MR | Zbl

[8] E. A. Coddington and N. Levmson, Theory of Ordinary Differential Equations. Mc Graw-Hill, New York (1955). | MR | Zbl

[9] R. L. Fosdick and K. R. Rajagopal, Thermodynamics and stability of fluids of third grade. Proc. Roy. Soc. London Ser. A 339(1980) 351-377. | MR | Zbl

[10] G. P. Galdi, M. Grobbelaar-Van Dalsen and N. Sauer, Existence and uniqueness of classical solutions of the equations of motion for second grade fluids. Arch. Rational Mech. Anal. VIA (1993) 221-237. | MR | Zbl

[11] J. L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires. Dunod, Paris (1969). | MR | Zbl

[12] J. Nečas, Les méthodes directes en théorie des équations elliptiques. Masson, Paris (1967). | MR | Zbl

[13] W. Noll and C. Truesdell, The Nonlinear Field Theory of Mechanics Handbuch of Physik, Vol. III. Springer-Verlag, Berlin(1975). | Zbl

[14] A. Sequeira and J. Videman, Global existence of classical solutions for the equations of third grade fluids. J. Math. Phys. Sci.29 (1995) 47-69. | MR | Zbl

[15] R. Temam, Navier-Stokes Equations. North-Holland, Amsterdam (1977). | Zbl

[16] J. H. Videman, Mathematical analysis of viscoelastic non-Newtonzan fluids Thesis, University of Lisbonne (1997).