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Volumn 23, Issue 6, 2000, Pages 491-513

Existence of solutions to a phase-field model for the isothermal solidification process of a binary alloy

Author keywords

[No Author keywords available]

Indexed keywords

BINARY ALLOYS; FREE ENERGY; FUNCTIONS; GALERKIN METHODS; MAXIMUM PRINCIPLE; NONLINEAR EQUATIONS; SET THEORY; SOLIDIFICATION;

EID: 0034171488     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(200004)23:6<491::AID-MMA120>3.0.CO;2-4     Document Type: Article
Times cited : (28)

References (12)
  • 1
    • 0000801655 scopus 로고
    • Finite dimensional exponential attractor for the phase-field model
    • Brochet, D., Chen, X. and Hilhorst, D., 'Finite dimensional exponential attractor for the phase-field model', Appl. Anal., 49, 197-212 (1993).
    • (1993) Appl. Anal. , vol.49 , pp. 197-212
    • Brochet, D.1    Chen, X.2    Hilhorst, D.3
  • 2
    • 34250131162 scopus 로고
    • An analysis of a phase-field model for free boundary
    • Caginalp, G., 'An analysis of a phase-field model for free boundary', Arch. Rational Mech. Anal., 92, 205-245 (1986).
    • (1986) Arch. Rational Mech. Anal. , vol.92 , pp. 205-245
    • Caginalp, G.1
  • 3
    • 0001872751 scopus 로고
    • Global existence and stability of solutions to the phase-field equations
    • Free Boundary Value Problems (K. H. Hoffmann and J. Sprekels, eds.), Birkhaüser, Basel
    • Elliott, C. M. and Zheng, S., 'Global existence and stability of solutions to the phase-field equations', in: Free Boundary Value Problems (K. H. Hoffmann and J. Sprekels, eds.), Internat. Ser. Num. Math., Vol. 95, pp. 46-58, Birkhaüser, Basel, 1990.
    • (1990) Internat. Ser. Num. Math. , vol.95 , pp. 46-58
    • Elliott, C.M.1    Zheng, S.2
  • 5
    • 0003304963 scopus 로고
    • Geometric theory of semilinear parabolic equations
    • Springer, Berlin, Heidelberg, New York
    • Henry, D., Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, Vol. 840, Springer, Berlin, Heidelberg, New York, 1981.
    • (1981) Lecture Notes in Mathematics , vol.840
    • Henry, D.1
  • 6
    • 0343073094 scopus 로고    scopus 로고
    • Ph.D. Thesis, EPFL, to appear in
    • Kessler, D., Ph.D. Thesis, EPFL, to appear in 2000.
    • (2000)
    • Kessler, D.1
  • 7
    • 85037800235 scopus 로고    scopus 로고
    • Construction d'un modèle de champ de phase à température homogène pour la solidification d'alliage binaire
    • Kessler, D., Krüger, O. and Scheid, J. F., 'Construction d'un modèle de champ de phase à température homogène pour la solidification d'alliage binaire', Internal Report DMA-EPFL, 1998.
    • (1998) Internal Report DMA-EPFL
    • Kessler, D.1    Krüger, O.2    Scheid, J.F.3
  • 8
    • 0031402415 scopus 로고    scopus 로고
    • Weak solutions to a phase-field model with non-constant thermal conductivity
    • Laurençot, Ph., 'Weak solutions to a phase-field model with non-constant thermal conductivity', Quart. Appl. Math., 4, 739-760 (1997).
    • (1997) Quart. Appl. Math. , vol.4 , pp. 739-760
    • Laurençot, Ph.1
  • 12
    • 0029254965 scopus 로고
    • Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field model
    • Warren, J. A. and Boettinger, W. J., 'Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field model', Acta Metall. Mater., 43(2), 689-703 (1995).
    • (1995) Acta Metall. Mater. , vol.43 , Issue.2 , pp. 689-703
    • Warren, J.A.1    Boettinger, W.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.