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Volumn 126, Issue 3, 1996, Pages 483-504

The Penrose-Fife-type equations: Counting the one-dimensional stationary solutions

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EID: 21344443771     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500022873     Document Type: Article
Times cited : (7)

References (15)
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    • Alikakos, N.1    Bates, P.W.2    Fusco, G.3
  • 2
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    • A mathematical model of dynamics of non-isothermal phase separation
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    • Alt, H.W.1    Pawlow, I.2
  • 3
    • 0000298295 scopus 로고
    • Existence of solutions for non-isothermal phase separation
    • H. W. Alt and I. Pawlow. Existence of solutions for non-isothermal phase separation. Adv. Math. Sci. Appl. 1 (1992), 319-409.
    • (1992) Adv. Math. Sci. Appl. , vol.1 , pp. 319-409
    • Alt, H.W.1    Pawlow, I.2
  • 6
    • 0010195359 scopus 로고
    • Asymptotic behavior for solution of a one-dimensional parabolic equation with homo-geneous Neumann boundary conditions
    • N. Chafee. Asymptotic behavior for solution of a one-dimensional parabolic equation with homo-geneous Neumann boundary conditions. J. Differential Equations 18 (1975), 111-34.
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    • Chafee, N.1
  • 8
    • 0026460521 scopus 로고
    • A monotonicity theorem and its applications to stationary solutions of the phase field model
    • M. Grinfeld, J. E. Furter and J. C. Eilbeck. A monotonicity theorem and its applications to stationary solutions of the phase field model. IMA J. Appl. Math. 49 (1992), 61-72.
    • (1992) IMA J. Appl. Math. , vol.49 , pp. 61-72
    • Grinfeld, M.1    Furter, J.E.2    Eilbeck, J.C.3
  • 9
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    • Counting stationary solutions of the Cahn-Hilliard equation by transversality arguments
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    • (1995) Proc. Roy. Soc. Edinburgh Sect. A , vol.125 , pp. 351-370
    • Grinfeld, M.1    Novick-Cohen, A.2
  • 10
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    • A nonlinear boundary value problem involving non-local term
    • S. Luckhaus and S. Zheng. A nonlinear boundary value problem involving non-local term. Nonlinear Anal. 22 (1994), 129-35.
    • (1994) Nonlinear Anal. , vol.22 , pp. 129-135
    • Luckhaus, S.1    Zheng, S.2
  • 11
    • 0007322095 scopus 로고
    • Steady states of the one-dimensional Cahn-Hilliard equation
    • A. Novick-Cohen and L. A. Peletier. Steady states of the one-dimensional Cahn-Hilliard equation. Proc. Roy. Soc. Edinburgh Sect. A 123 (1993), 1071-1098.
    • (1993) Proc. Roy. Soc. Edinburgh Sect. A , vol.123 , pp. 1071-1098
    • Novick-Cohen, A.1    Peletier, L.A.2
  • 12
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    • Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
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    • Penrose, O.1    Fife, P.C.2
  • 13
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    • Global Solution Branches of Two Point Boundary Value Problems
    • Berlin: Springer
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    • (1990) Lecture Notes in Mathematics 1458
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  • 15
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    • Asymptotic behavior of solutions to the Cahn-Hilliard equation
    • S. Zheng. Asymptotic behavior of solutions to the Cahn-Hilliard equation. Appl. Anal. 23 (1986), 165-84.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.