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Interfaces and Free Boundaries
Volumn 11, Issue 1, 2009, Pages 61-108
Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy
Author keywords

Homogenization; Phase transitions; convergence; development
Indexed keywords

EID: 73949127920     PISSN: 14639963     EISSN: None     Source Type: Journal    
DOI: 10.4171/ifb/204     Document Type: Article
Times cited : (20)
References (9)
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    • ALBERTI, G. Variational models for phase transitions, an approach via Γ -convergence. Calculus of Variations and Partial Differential Equations, L. Ambrosio and N. Dancer (eds.), Springer, Berlin (2000), 95-114. Zbl 0957.35017 MR 1757697
    • (2000) Calculus of Variations and Partial Differential Equations , pp. 95-114
    • Alberti, G.1
  • 2
    • 0001482683 scopus 로고
    • Asymptotic development by Γ -convergence
    • Zbl 0780.49011 MR 1202527
    • ANZELLOTTI, G., & BALDO, S. Asymptotic development by Γ -convergence. Appl. Math. Optim. 27 (1993), 105-123. Zbl 0780.49011 MR 1202527
    • (1993) Appl. Math. Optim. , vol.27 , pp. 105-123
    • Anzellotti, G.1    Baldo, S.2
  • 3
    • 0004316217 scopus 로고    scopus 로고
    • Oxford Univ. Press Oxford. Zbl pre01865939 MR 1968440
    • BRAIDES, A. Γ -convergence for Beginners. Oxford Univ. Press, Oxford (2002). Zbl pre01865939 MR 1968440
    • (2002) Γ -convergence for Beginners
    • Braides, A.1
  • 4
    • 42149101059 scopus 로고    scopus 로고
    • Asymptotic expansions by Γ -convergence
    • MR 2398821
    • BRAIDES, A., & TRUSKINOVSKY, L. Asymptotic expansions by Γ -convergence, Contin. Mech. Thermodyn. 20 (2008), 21-62. MR 2398821
    • (2008) Contin. Mech. Thermodyn. , vol.20 , pp. 21-62
    • Braides, A.1    Truskinovsky, L.2
  • 5
    • 33646389548 scopus 로고    scopus 로고
    • Γ -convergence of the Allen-Cahn energy with an oscillating forcing term
    • Zbl 1106.49053 MR 2231252
    • DIRR, N., LUCIA, M., & NOVAGA, M. Γ -convergence of the Allen-Cahn energy with an oscillating forcing term. Interfaces Free Bound. 8 (2006), 47-78. Zbl 1106.49053 MR 2231252
    • (2006) Interfaces Free Bound. , vol.8 , pp. 47-78
    • Dirr, N.1    Lucia, M.2    Novaga, M.3
  • 6
    • 54349128078 scopus 로고    scopus 로고
    • Gradient theory of phase transitions with a rapidly oscillating forcing term
    • Zbl pre05504511 MR 2463798
    • DIRR, N., LUCIA, M., & NOVAGA, M. Gradient theory of phase transitions with a rapidly oscillating forcing term. Asymptot. Anal. 60 (2008), 29-59. Zbl pre05504511 MR 2463798
    • (2008) Asymptot. Anal. , vol.60 , pp. 29-59
    • Dirr, N.1    Lucia, M.2    Novaga, M.3
  • 7
    • 0039221541 scopus 로고
    • Combined effects of homogenization and singular perturbation in elasticity
    • Zbl 0802.35007 MR 1288677
    • FRANCFORT, G. A., & MÜLLER, S. Combined effects of homogenization and singular perturbation in elasticity. J. Reine Angew. Math. 454 (1994), 1-35. Zbl 0802.35007 MR 1288677
    • (1994) J. Reine Angew. Math. , vol.454 , pp. 1-35
    • Francfort, G.A.1    Müller, S.2
  • 8
    • 34250109116 scopus 로고
    • The gradient theory of phase transitions and the minimal interface criterion
    • Zbl 0616.76004 MR 0866718
    • MODICA, L. The gradient theory of phase transitions and the minimal interface criterion. Arch. Ration. Mech. Anal. 98 (1987), 123-142. Zbl 0616.76004 MR 0866718
    • (1987) Arch. Ration. Mech. Anal. , vol.98 , pp. 123-142
    • Modica, L.1
  • 9
    • 0000359194 scopus 로고
    • Un esempio di Γ -convergenza
    • Zbl 0356.49008 MR 0445362
    • MODICA, L., & MORTOLA, S. Un esempio di Γ -convergenza. Boll. Un. Mat. Ital. B 14 (1977), 285-299. Zbl 0356.49008 MR 0445362
    • (1977) Boll. Un. Mat. Ital. B , vol.14 , pp. 285-299
    • Modica, L.1    Mortola, S.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.