Homogenization of elliptic problems in a fiber reinforced structure. Non local effects

 Access to full text

 Full (PDF)

1. [1] H. Attouch, "Variational Convergence for Functions and Operators", Pitman, 1984. Zbl0561.49012MR773850
2. [2] M. Belleiud, Thèse de Doctorat, Université de Toulon (1997). 
3. [3] M. Belleiud - G. Bouchitté, Homogénéisation de problèmes elliptiques en présence de fibres de grande conductivité, C. R. Acad.Sci. Paris, Sér. I323 (1996), 1135-1140. Zbl0859.65126MR1423439
4. [4] G. Bouchitté, Représentation integrale de fonctionnelles convexes sur un espace de mesures, Ann. Univ. Ferrara Sez. VII (N.S.)33 (1987), 113-156. Zbl0721.49041MR958390
5. [5] G. Bouchitté - C. Picard, Singular perturbations and homogenization in stratified media, Applicable Analysis61 (1996), 307-341. Zbl0865.35013MR1618240
6. [6] G. Buttazzo - G. Dal Maso, Γ-limits of integral functionals, J. Anal. Math. 37 (1980), 145-185. Zbl0446.49012
7. [7] G. Buttazzo - L. Freddi, Functionals defined on measures and applications to non equi-uniformly elliptic problems, Ann. Mat. Pura Appl. (4) 159 (1991), 133-146. Zbl0767.35010MR1145094
8. [8] D. Caillerie - B. Dinari, "A Perturbation Problem with Two Small Parameters in the Framework of the Heat Conduction of a Fiber Reinforced Body ", Partial Differential Equations Banach Center Publications, Warsaw1987. Zbl0659.35029MR1055160
9. [9] V. Chiadó Piat - G. Dal Maso - A. Defranceschi, G-convergence of monotone operators, Ann. Inst. H. Poincaré. Anal. Non Linéaire7 (1990),123-160. Zbl0731.35033MR1065871
10. [10] D. Cioranescu - F. Murat, Un terme étrange venu d'ailleurs, Nonlinear Partial Differential Equations and their Applications, Seminaire du Collège de France, vol. I et II, 60 et 70, Pitman, 1982, 98-138, 154-178. Zbl0496.35030
11. [11] G. Dal Maso, "An Introduction to Γ-convergence", Progress in Non Linear Differential Equations and their Applications", Birkhauser, Boston, 1993. Zbl0816.49001
12. [12] B. Heron - J. Mossino - C. Picard, Homogenization of some quasilinear problems for stratified media with low and high conductivities, Differential Integral Equations, 7 (1994), 157-178. Zbl0817.35006MR1250945
13. [13] E.Y. Khruslov, "Homogenized Models of Composite Media", Progress in Nonlinear Differential Equations and their Applications, Birkhäuser, Boston, 1991. Zbl0737.73009MR1145750
14. [14] U. Mosco, Composite media and asymptotic Dirichlet forms, J. Funct. Anal123 (1994), 368-421. Zbl0808.46042MR1283033
15. [15] U. Mosco, "Composite Media and Dirichlet Forms", Progress in Nonlinear Differential Equations and their Applications, Birkhäuser, Boston, 1991. Zbl0807.35011MR1145754
16. [16] F. Murat - L. Tartar, H-Convergence, Topics in the mathematical modelling of composite materials, Progress in Nonlinear Diff. Eq. and their Applications, R. V. Kohn Ed., Birkhauser, Boston, 1994. Zbl0920.35019MR1493039
17. [17] G.P. Panasenko, Multicomponent homogenization of processes in strongly nonhomogeneous structures, Math. USSR-Sb.69 (1991), 143-153. Zbl0719.35006MR1048835

1. Michel Bellieud, Homogenization of evolution problems for a composite medium with very small and heavy inclusions
2. Michel Bellieud, Homogenization of evolution problems for a composite medium with very small and heavy inclusions
3. Marc Briane, Non-Markovian quadratic forms obtained by homogenization
4. Marc Briane, Nicoletta Tchou, Fibered microstructures for some nonlocal Dirichlet forms
5. Marc Briane, Juan Casado-Díaz, Estimate of the pressure when its gradient is the divergence of a measure. Applications
6. Marc Briane, Juan Casado-Díaz, Homogenization of systems with equi-integrable coefficients
7. Marc Briane, Juan Casado-Díaz, Estimate of the pressure when its gradient is the divergence of a measure. Applications