Asymptotic behavior of a sixth-order Cahn-Hilliard system

• Autorzy: Alain Miranville
• 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.

Słowa kluczowe

EN

Sixth-order Cahn-Hilliard system; Dissipativity; Global attractor; Exponential attractor

Kategorie tematyczne

• 35K55: Nonlinear parabolic equations
• 35B41: Attractors

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 1
• Strony: 141-154

Daty

wydano

2014-01-01

online

2013-10-30

Twórcy

autor

Alain Miranville

• Université de Poitiers

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0322-9