Homogenization and two-scale convergence for a Stokes or Navier-Stokes flow in an elastic thin porous medium

Mathematical Models and Methods in Applied Sciences

Volumn 6, Issue 7, 1996, Pages 941-955

  Ene, Ioana Andreea ^a   Paulin, Jeannine Saint Jean ^a  

^a UNIVERSITÉ DE LORRAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3142517795     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202596000389     Document Type: Article

References (15)

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5. D. Cioranescu and J. Saint Jean Paulin, Mathematical study of large space structures, Stabilization of Flexible Structures, ed. J. P. Zolesio, Lecture Notes in Control and Information Science, No. 147 (Springer, 1990), pp. 6-16.
6. D. Cioranescu and J. Saint Jean Paulin, Particules deformables en suspension dans un fluide visqueux, E.D.F. Bull. de la Dir. d'Etudes et Recherches, Serie C Math. Info., No. 1, 1991, pp. 53-76.
7. C. Conca, On the application of the homogenization theory to a class of problems arising in fluid mechanics, J. Math. Pures Appl. 64 (1985) 31-75.
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9. J.-L. Lions, Quelques Methodes de Resolution des Problemes aux Limites Non Lineaires (Gauthier-Villars, 1969).
10. M.-L. Mascarenhas, Homogenization of a viscoelastic equation with non-periodic coefficients, Proc. Roy. Soc. Edinburgh 106A (1987) 143-160.
11. G. Nguetseng, Asymptotic analysis for a stiff variational problem arising in mechanics, SIAM J. Math. Anal. 21 (1990) 1394-1414.
12. G. Nguetseng, A general convergence result for a functional related to the theory of the homogenization, SIAM J. Math. Anal. 20 (1989) 608-623.
13. E. Sanchez-Palencia, Non-Homogeneous Media and Vibration Theory, Lecture Notes in Physics, Vol. 27 (Springer, 1980).
14. L. Tartar, Convergence of the homogenization process, Appendix of Ref. 11.
15. R. Temam, Navier-Stokes Equations (North-Holland, 1978).