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2014 | 12 | 1 | 141-154
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Asymptotic behavior of a sixth-order Cahn-Hilliard system

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Języki publikacji
EN
Abstrakty
EN
Our aim in this paper is to study the asymptotic behavior, in terms of finite-dimensional attractors, of a sixth-order Cahn-Hilliard system. This system is based on a modification of the Ginzburg-Landau free energy proposed in [Torabi S., Lowengrub J., Voigt A., Wise S., A new phase-field model for strongly anisotropic systems, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 2009, 465(2105), 1337–1359], assuming isotropy.
Wydawca
Czasopismo
Rocznik
Tom
12
Numer
1
Strony
141-154
Opis fizyczny
Daty
wydano
2014-01-01
online
2013-10-30
Twórcy
Bibliografia
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  • [15] Korzec M.D., Nayar P., Rybka P., Global weak solutions to a sixth order Cahn-Hilliard type equation, SIAM J. Math. Anal., 2012, 44(5), 3369–3387 http://dx.doi.org/10.1137/100817590
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  • [23] Schimperna G., Pawłow I., On a class of Cahn-Hilliard models with nonlinear diffusion, SIAM J. Math. Anal., 2013, 45(1), 31–63 http://dx.doi.org/10.1137/110835608
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  • [25] Torabi S., Lowengrub J., Voigt A., Wise S., A new phase-field model for strongly anisotropic systems, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 2009, 465(2105), 1337–1359 http://dx.doi.org/10.1098/rspa.2008.0385
  • [26] Wang C., Wise S.M., Global smooth solutions of the three-dimensional modified phase field crystal equation, Methods Appl. Anal., 2010, 17(2), 191–211
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  • [28] Wise S.M., Wang C., Lowengrub J.S., An energy-stable and convergent finite-difference scheme for the phase field crystal equation, SIAM J. Numer. Anal., 2009, 47(3), 2269–2288 http://dx.doi.org/10.1137/080738143
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-013-0322-9
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