[Éclatement périodique et problèmes de Neumann non homogènes dans des domaines à petits trous]
We consider elliptic problems in periodically perforated domains in
L'objet de cette Note est l'homogénéisation d'une classe de problèmes élliptiques dans des domaines de
Accepté le :
Publié le :
Amar Ould Hammouda 1, 2
@article{CRMATH_2008__346_17-18_963_0, author = {Amar Ould Hammouda}, title = {Periodic unfolding and nonhomogeneous {Neumann} problems in domains with small holes}, journal = {Comptes Rendus. Math\'ematique}, pages = {963--968}, publisher = {Elsevier}, volume = {346}, number = {17-18}, year = {2008}, doi = {10.1016/j.crma.2008.07.001}, language = {en}, }
Amar Ould Hammouda. Periodic unfolding and nonhomogeneous Neumann problems in domains with small holes. Comptes Rendus. Mathématique, Volume 346 (2008) no. 17-18, pp. 963-968. doi : 10.1016/j.crma.2008.07.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.07.001/
[1] Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam, 1978
[2] Periodic unfolding and homogenization, C. R. Acad. Sci. Paris, Ser. I, Volume 335 (2002), pp. 99-104
[3] Non-homogeneous Neumann problems in domains with small holes, RAIRO Modél. Math. Anal. Numér., Volume 4 (1988) no. 22, pp. 561-608
[4] The periodic unfolding method in perforated domains, Portugaliae Mathematica, Volume 63 (2006) no. 4, pp. 467-496
[5] Un terme étrange venu d'ailleurs (H. Brezis; J.L. Lions, eds.), Nonlinear Partial Differential Equations and their Applications, College de France Seminar, II & III, Research Notes in Math., vols. 60–70, Pitman, Boston, 1982, pp. 98-138 (154–178)
[6] An elementary introduction to periodic unfolding (A. Damlamian; D. Lukkassen; A. Meidell; A. Piatnitski, eds.), Proc. of the Narvik Conference 2004, Gakuto Int. Series, Math. Sci. Appl., vol. 24, Gakkokotosho, 2006, pp. 119-136
[7] A. Ould Hammouda, Homogenization of a class of Neumann problems in perforated domains, in press
- Upscaled Equations for the Fokker–Planck Diffusion Through Arrays of Permeable and of Impermeable Inclusions, Asymptotic Analysis, Volume 142 (2025) no. 3, p. 449 | DOI:10.1177/09217134241308419
- Asymptotic behavior of the Stokes problem with Robin condition in a domain with small holes, Asymptotic Analysis, Volume 115 (2019) no. 3-4, p. 147 | DOI:10.3233/asy-191530
Cité par 2 documents. Sources : Crossref
Commentaires - Politique
Vous devez vous connecter pour continuer.
S'authentifier