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Volumn 15, Issue 1, 2004, Pages 103-124

Motion of bubbles towards the boundary for the Cahn-Hilliard equation

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EID: 2542558120     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0956792503005242     Document Type: Article
Times cited : (15)

References (23)
  • 1
    • 0032397594 scopus 로고    scopus 로고
    • Slow dynamics for the Cahn-Hilliard equation in higher space dimensions: The motion of bubbles
    • ALIKAKOS, N. D. & Fusco, G. (1998) Slow dynamics for the Cahn-Hilliard equation in higher space dimensions: the motion of bubbles. Arch. Rat. Mech. Anal. 141, 1-61.
    • (1998) Arch. Rat. Mech. Anal. , vol.141 , pp. 1-61
    • Alikakos, N.D.1    Fusco, G.2
  • 2
    • 44949275928 scopus 로고
    • Slow motion for the Cahn-Hilliard equation in one space dimension
    • ALIKAKOS, N. D., BATES, P. W. & Fusco, G. (1991) Slow motion for the Cahn-Hilliard equation in one space dimension. J. Diff. Eqs. 90, 81-135.
    • (1991) J. Diff. Eqs. , vol.90 , pp. 81-135
    • Alikakos, N.D.1    Bates, P.W.2    Fusco, G.3
  • 3
    • 0347061352 scopus 로고    scopus 로고
    • Slow motion for the Cahn-Hilliard via energy and spectral estimates
    • ALIKAKOS, N., BRONSARD, L. & Fusco, G. (1998) Slow motion for the Cahn-Hilliard via energy and spectral estimates. Calc. Var. Part. Diff. Eq. 6(1), 39-66.
    • (1998) Calc. Var. Part. Diff. Eq. , vol.6 , Issue.1 , pp. 39-66
    • Alikakos, N.1    Bronsard, L.2    Fusco, G.3
  • 4
    • 43949159714 scopus 로고
    • Metastable patterns for the Cahn-Hilliard equation: Part I
    • BATES, P. W. & XUN, J. P. (1994) Metastable patterns for the Cahn-Hilliard equation: Part I. J. Diff. Eqs. 111, 421-457.
    • (1994) J. Diff. Eqs. , vol.111 , pp. 421-457
    • Bates, P.W.1    Xun, J.P.2
  • 6
    • 0001196888 scopus 로고
    • On the slow dynamics for the Cahn-Hilliard equation in one space dimension
    • BRONSARD, L. & HILHORST, D. (1992) On the slow dynamics for the Cahn-Hilliard equation in one space dimension. Proc. Roy. Soc. Lond. A. 439, 669-682.
    • (1992) Proc. Roy. Soc. Lond. A. , vol.439 , pp. 669-682
    • Bronsard, L.1    Hilhorst, D.2
  • 7
    • 43449102981 scopus 로고
    • On spinodal decomposition
    • CAHN, J. W. (1961) On spinodal decomposition. Acta Metallurgica, 9, 795-801.
    • (1961) Acta Metallurgica , vol.9 , pp. 795-801
    • Cahn, J.W.1
  • 8
    • 33746012315 scopus 로고
    • Free energy of a non uniform system I Interfacial Energy
    • CAHN, J. W. & HILLIARD, J. E. (1958) Free energy of a non uniform system I. Interfacial Energy. J. Phys. Chem. 28, 258-267.
    • (1958) J. Phys. Chem. , vol.28 , pp. 258-267
    • Cahn, J.W.1    Hilliard, J.E.2
  • 10
    • 0035527617 scopus 로고    scopus 로고
    • Dynamics of an interior spike in the Gierer-Meinhardt system
    • CHEN, X. & KOWALCZYK, M. (2001) Dynamics of an interior spike in the Gierer-Meinhardt system. SIAM J. Math. Anal. 33(1), 172-193.
    • (2001) SIAM J. Math. Anal. , vol.33 , Issue.1 , pp. 172-193
    • Chen, X.1    Kowalczyk, M.2
  • 11
    • 0001617217 scopus 로고
    • Numerical studies of the Cahn-Hilliard equation for phase separation
    • ELLIOT, C. M. & FRENCH, D. A. (1987) Numerical studies of the Cahn-Hilliard equation for phase separation. IMA J. Appl. Math. 38, 97-128.
    • (1987) IMA J. Appl. Math. , vol.38 , pp. 97-128
    • Elliot, C.M.1    French, D.A.2
  • 14
    • 0001863910 scopus 로고
    • Slow motion manifolds, dormant instability and singular perturbations
    • Fusco, G. & HALE, J. K. (1989) Slow motion manifolds, dormant instability and singular perturbations. J. Dyn. Diff. Eqs. 1, 75-94.
    • (1989) J. Dyn. Diff. Eqs. , vol.1 , pp. 75-94
    • Fusco, G.1    Hale, J.K.2
  • 15
    • 84963133487 scopus 로고
    • Spinodal decomposition for the Cahn-Hilliard equation
    • GRANT, C. (1993) Spinodal decomposition for the Cahn-Hilliard equation. Comm. Pan. Diff. Eqs. 18, 453-490.
    • (1993) Comm. Pan. Diff. Eqs. , vol.18 , pp. 453-490
    • Grant, C.1
  • 16
    • 0022876407 scopus 로고
    • On the two-phase Stephan problem with interfacial energy and entropy
    • GURTIN, M. E. (1988) On the two-phase Stephan problem with interfacial energy and entropy. Arch. Rat. Mech. Anal. 96, 199-241.
    • (1988) Arch. Rat. Mech. Anal. , vol.96 , pp. 199-241
    • Gurtin, M.E.1
  • 17
    • 0033723712 scopus 로고    scopus 로고
    • A metastable spike solution for a nonlocal reaction diffusion model
    • IRON, D. & WARD, M. (2000) A metastable spike solution for a nonlocal reaction diffusion model. SIAM J. Appl. Math. 60(3), 778-802.
    • (2000) SIAM J. Appl. Math. , vol.60 , Issue.3 , pp. 778-802
    • Iron, D.1    Ward, M.2
  • 18
    • 2542629509 scopus 로고    scopus 로고
    • NEU, J. Unpublished lecture notes
    • NEU, J. Unpublished lecture notes.
  • 19
    • 0001410452 scopus 로고
    • Front migration in the nonlinear Cahn-Hilliard equation
    • PEGO, R. L. (1989) Front migration in the nonlinear Cahn-Hilliard equation. Proc. Roy. Soc. Lond. A, 422, 261-278.
    • (1989) Proc. Roy. Soc. Lond. A , vol.422 , pp. 261-278
    • Pego, R.L.1
  • 20
    • 45149136070 scopus 로고
    • Thermodynamically consistent models of phase field type for the kinetics of phase transitions
    • PENROSE, O. & FIFE, P. (1989) Thermodynamically consistent models of phase field type for the kinetics of phase transitions. Physica D, 43, 44-62.
    • (1989) Physica D , vol.43 , pp. 44-62
    • Penrose, O.1    Fife, P.2
  • 21
    • 77958411749 scopus 로고
    • Nonlocal reaction-diffusion equations and nucleation
    • RUBINSTEIN, J. & STERNBERG, P. (1992) Nonlocal reaction-diffusion equations and nucleation. IMA J. Appl. Math. 48, 249-264.
    • (1992) IMA J. Appl. Math. , vol.48 , pp. 249-264
    • Rubinstein, J.1    Sternberg, P.2
  • 22
    • 0039596502 scopus 로고    scopus 로고
    • Dynamics and coarsening of interfaces for the viscous Cahn-Hilliard equation in one spatial dimension
    • SUN, X. & WARD, M. J. (2000) Dynamics and coarsening of interfaces for the viscous Cahn-Hilliard equation in one spatial dimension. Stud. Appl. Math. 105(3), 203-234.
    • (2000) Stud. Appl. Math. , vol.105 , Issue.3 , pp. 203-234
    • Sun, X.1    Ward, M.J.2
  • 23
    • 0030269055 scopus 로고    scopus 로고
    • Metastable bubble solutions for the Allen-Cahn equation with mass conservation
    • WARD, M. (1996) Metastable bubble solutions for the Allen-Cahn equation with mass conservation. SIAM J. Appl. Math. 56(5), 1249-1279.
    • (1996) SIAM J. Appl. Math. , vol.56 , Issue.5 , pp. 1249-1279
    • Ward, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.