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Volumn 89, Issue 3, 2008, Pages 248-277

The periodic unfolding method for perforated domains and Neumann sieve models

Author keywords

Homogenization; Neumann sieve; Periodic unfolding; Strange term

Indexed keywords


EID: 40049088779     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matpur.2007.12.008     Document Type: Article
Times cited : (70)

References (23)
  • 1
    • 4744365760 scopus 로고    scopus 로고
    • The nonlinear sieve problem and applications to thin films
    • Ansini N. The nonlinear sieve problem and applications to thin films. Asymptotic Anal. 39 2 (2004) 113-145
    • (2004) Asymptotic Anal. , vol.39 , Issue.2 , pp. 113-145
    • Ansini, N.1
  • 2
    • 0036077861 scopus 로고    scopus 로고
    • Asymptotic analysis of periodically-perforated nonlinear media
    • Erratum:
    • Ansini N., and Braides A. Asymptotic analysis of periodically-perforated nonlinear media. J. Math. Pures Appl. 81 5 (2002) 439-451 Erratum:
    • (2002) J. Math. Pures Appl. , vol.81 , Issue.5 , pp. 439-451
    • Ansini, N.1    Braides, A.2
  • 3
    • 11844253261 scopus 로고    scopus 로고
    • Asymptotic analysis of periodically-perforated nonlinear media
    • Ansini N., and Braides A. Asymptotic analysis of periodically-perforated nonlinear media. J. Math. Pures Appl. 84 5 (2005) 147-148
    • (2005) J. Math. Pures Appl. , vol.84 , Issue.5 , pp. 147-148
    • Ansini, N.1    Braides, A.2
  • 4
    • 34248393944 scopus 로고    scopus 로고
    • The Neumann sieve problem and dimensional reduction: A multiscale approach
    • Ansini N., Babadjian J.-F., and Zeppieri C.I. The Neumann sieve problem and dimensional reduction: A multiscale approach. Math. Models Methods Appl. Sci. 17 5 (2007) 681-735
    • (2007) Math. Models Methods Appl. Sci. , vol.17 , Issue.5 , pp. 681-735
    • Ansini, N.1    Babadjian, J.-F.2    Zeppieri, C.I.3
  • 7
    • 23044520482 scopus 로고    scopus 로고
    • Two-scale convergence for nonlinear Dirichlet problems in perforated domains
    • Casado-Díaz J. Two-scale convergence for nonlinear Dirichlet problems in perforated domains. Proc. Royal Soc. Edinburgh 130 A (2000) 249-276
    • (2000) Proc. Royal Soc. Edinburgh , vol.130 A , pp. 249-276
    • Casado-Díaz, J.1
  • 8
    • 18044373200 scopus 로고    scopus 로고
    • An adaptation of the multi-scale methods for the analysis of very thin reticulated structures
    • Casado-Díaz J., Luna-Laynez M., and Martín J.D. An adaptation of the multi-scale methods for the analysis of very thin reticulated structures. C. R. Acad. Sci. Paris Sér. 1 332 (2001) 223-228
    • (2001) C. R. Acad. Sci. Paris Sér. 1 , vol.332 , pp. 223-228
    • Casado-Díaz, J.1    Luna-Laynez, M.2    Martín, J.D.3
  • 10
    • 33644958544 scopus 로고    scopus 로고
    • Periodic unfolding and Robin problems in perforated domains
    • Cioranescu D., Donato P., and Zaki R. Periodic unfolding and Robin problems in perforated domains. C. R. Acad. Sci. Paris Sér. I 342 (2006) 469-474
    • (2006) C. R. Acad. Sci. Paris Sér. I , vol.342 , pp. 469-474
    • Cioranescu, D.1    Donato, P.2    Zaki, R.3
  • 11
    • 0002494698 scopus 로고
    • Un terme étrange venu d'ailleurs
    • Nonlinear Partial Differential Equations and their Applications, College de France Seminar, II & III. Brezis H., and Lions J.L. (Eds), Pitman, Boston 154-178
    • Cioranescu D., and Murat F. Un terme étrange venu d'ailleurs. In: Brezis H., and Lions J.L. (Eds). Nonlinear Partial Differential Equations and their Applications, College de France Seminar, II & III. Research Notes in Math. vol. 60-70 (1982), Pitman, Boston 98-138 154-178
    • (1982) Research Notes in Math. , vol.60-70 , pp. 98-138
    • Cioranescu, D.1    Murat, F.2
  • 12
    • 2942552666 scopus 로고
    • Asymptotic behavior and correctors for linear Dirichlet problems with simultaneously varying operators and domains
    • Dal Maso G., and Murat F. Asymptotic behavior and correctors for linear Dirichlet problems with simultaneously varying operators and domains. Ann. Inst. H. Poincaré, Analyse nonlinéaire 21 (1982) 445-486
    • (1982) Ann. Inst. H. Poincaré, Analyse nonlinéaire , vol.21 , pp. 445-486
    • Dal Maso, G.1    Murat, F.2
  • 14
    • 34347221055 scopus 로고    scopus 로고
    • An elementary introduction to periodic unfolding
    • Proc. of the Narvik Conference 2004. Damlamian A., Lukkassen D., Meidell A., and Piatnitski A. (Eds), Gakkokotosho
    • Damlamian A. An elementary introduction to periodic unfolding. In: Damlamian A., Lukkassen D., Meidell A., and Piatnitski A. (Eds). Proc. of the Narvik Conference 2004. Gakuto Int. Series, Math. Sci. Appl. vol. 24 (2006), Gakkokotosho 119-136
    • (2006) Gakuto Int. Series, Math. Sci. Appl. , vol.24 , pp. 119-136
    • Damlamian, A.1
  • 15
    • 4344693508 scopus 로고    scopus 로고
    • Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition?
    • Damlamian A., and Donato P. Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition?. ESAIM: COCV 8 (2006) 555-585
    • (2006) ESAIM: COCV , vol.8 , pp. 555-585
    • Damlamian, A.1    Donato, P.2
  • 16
    • 34250118456 scopus 로고
    • The thick Neumann's sieve
    • Del Vecchio T. The thick Neumann's sieve. Ann. Mat. Pura Appl. 4 147 (1987) 363-402
    • (1987) Ann. Mat. Pura Appl. , vol.4 , Issue.147 , pp. 363-402
    • Del Vecchio, T.1
  • 17
    • 0001784776 scopus 로고
    • The Neuman sieve
    • Nonlinear Variational Problems. Isola d'Elba, 1983, Pitman, Boston
    • Murat F. The Neuman sieve. Nonlinear Variational Problems. Isola d'Elba, 1983. Research Notes in Math. vol. 127 (1985), Pitman, Boston 24-32
    • (1985) Research Notes in Math. , vol.127 , pp. 24-32
    • Murat, F.1
  • 18
    • 0040445631 scopus 로고
    • Problemes d'ecrans perforés pour l'équation de Laplace
    • Nguetseng G. Problemes d'ecrans perforés pour l'équation de Laplace. RAIRO Model. Math. Anal. Numer. 19 1 (1985) 33-63
    • (1985) RAIRO Model. Math. Anal. Numer. , vol.19 , Issue.1 , pp. 33-63
    • Nguetseng, G.1
  • 19
    • 40049095969 scopus 로고    scopus 로고
    • The unfolding operator near a hyperplane and its application to the Neumann Sieve model
    • Onofrei D. The unfolding operator near a hyperplane and its application to the Neumann Sieve model. AMSA 16 (2006) 239-258
    • (2006) AMSA , vol.16 , pp. 239-258
    • Onofrei, D.1
  • 20
    • 40049088595 scopus 로고    scopus 로고
    • Asymptotics of a spectral problem associated with the Neumann Sieve
    • Onofrei D., and Vernescu B. Asymptotics of a spectral problem associated with the Neumann Sieve. Anal. Appl. 3 1 (2005) 69-87
    • (2005) Anal. Appl. , vol.3 , Issue.1 , pp. 69-87
    • Onofrei, D.1    Vernescu, B.2
  • 21
    • 0040445583 scopus 로고
    • Analyse limite d'équations variationelles dans un domain contenant une grille
    • Picard C. Analyse limite d'équations variationelles dans un domain contenant une grille. RAIRO Model. Math. Anal. Numer. 21 2 (1987) 293-326
    • (1987) RAIRO Model. Math. Anal. Numer. , vol.21 , Issue.2 , pp. 293-326
    • Picard, C.1
  • 22
    • 0002275376 scopus 로고
    • Boundary value problems in domains containing perforated walls
    • Nonlinear Partial Differential Equations and their Applications, Collège de France Seminar, III (Paris, 1980/1981), Pitman, Boston
    • Sanchez-Palencia E. Boundary value problems in domains containing perforated walls. Nonlinear Partial Differential Equations and their Applications, Collège de France Seminar, III (Paris, 1980/1981). Res. Notes in Math. vol. 70 (1982), Pitman, Boston 309-325
    • (1982) Res. Notes in Math. , vol.70 , pp. 309-325
    • Sanchez-Palencia, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.