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Volumn 126, Issue 6, 1996, Pages 1217-1234

The limit of the anisotropic double-obstacle Allen-Cahn equation

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EID: 21444458744     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500023374     Document Type: Article
Times cited : (37)

References (13)
  • 1
    • 0018480694 scopus 로고
    • A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsing
    • S. Allen and J. Cahn. A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsing. Acta Metall 27 (1979), 1084-95.
    • (1979) Acta Metall , vol.27 , pp. 1084-1095
    • Allen, S.1    Cahn, J.2
  • 2
    • 0002252307 scopus 로고
    • Curvature dependent phase boundary motion and parabolic obstacle problems
    • eds W. Ni, L. Peletier and J. L. Vasquez, IMA Berlin: Springer
    • J. F. Blowey and C. M. Elliott. Curvature dependent phase boundary motion and parabolic obstacle problems. In Proc. IMA Workshop on Degenerate Diffusion, eds W. Ni, L. Peletier and J. L. Vasquez), IMA 47, 19-60 (Berlin: Springer, 1993).
    • (1993) Proc. IMA Workshop on Degenerate Diffusion , vol.47 , pp. 19-60
    • Blowey, J.F.1    Elliott, C.M.2
  • 3
    • 34250131162 scopus 로고
    • An analysis of a phase-field model of a free boundary
    • G. Caginalp. An analysis of a phase-field model of a free boundary. Arch. Rational Mech. Anal. 92 (1986), 205-45.
    • (1986) Arch. Rational Mech. Anal. , vol.92 , pp. 205-245
    • Caginalp, G.1
  • 4
    • 0001249829 scopus 로고
    • Generation and propagation of interface in reaction-diffusion equations
    • X. Chen. Generation and propagation of interface in reaction-diffusion equations. J. Differential Equations 96 (1992), 116-41.
    • (1992) J. Differential Equations , vol.96 , pp. 116-141
    • Chen, X.1
  • 5
    • 0037849059 scopus 로고
    • Asymptotics for a parabolic double obstacle problem
    • X. Chen and C. M. Elliott. Asymptotics for a parabolic double obstacle problem. Proc. Roy. Soc. London Ser. A 444 (1994), 429-45.
    • (1994) Proc. Roy. Soc. London Ser. A , vol.444 , pp. 429-445
    • Chen, X.1    Elliott, C.M.2
  • 7
    • 84990617538 scopus 로고
    • Phase transitions and generalized motion by mean curvature
    • L. C. Evans, H. M. Soner and P. E. Souganidis. Phase transitions and generalized motion by mean curvature. Comm. Pure Appl. Math. 45 (1992), 1097-123.
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 1097-1123
    • Evans, L.C.1    Soner, H.M.2    Souganidis, P.E.3
  • 9
    • 34250109116 scopus 로고
    • The gradient theory of phase transitions and the minimal interface criterion
    • L. Modica. The gradient theory of phase transitions and the minimal interface criterion. Arch. Rational Mech. Anal. 98 (1987), 123-42.
    • (1987) Arch. Rational Mech. Anal. , vol.98 , pp. 123-142
    • Modica, L.1
  • 12
    • 21844495223 scopus 로고
    • Linking anisotropic sharp and diffuse surface motion laws via gradient flows
    • J. E. Taylor and J. W. Cahn. Linking anisotropic sharp and diffuse surface motion laws via gradient flows. J. Statist. Phys. 77 (1993), 183-97.
    • (1993) J. Statist. Phys. , vol.77 , pp. 183-197
    • Taylor, J.E.1    Cahn, J.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.