Global Attractor for the Convective Cahn-Hilliard Equation in $H^k$

• Autorzy: Xiaopeng Zhao , Ning Duan
• Języki publikacji: EN

Abstrakty

EN

We consider the convective Cahn-Hilliard equation with periodic boundary conditions. Based on the iteration technique for regularity estimates and the classical theorem on existence of a global attractor, we prove that the convective Cahn-Hilliard equation has a global attractor in $H^k$.

Kategorie tematyczne

• 35K35: Initial-boundary value problems for higher-order parabolic equations
• 35B41: Attractors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2011
• Tom: 59
• Numer: 1
• Strony: 53-64

Daty

wydano

2011

Twórcy

autor

Xiaopeng Zhao

• School of Mathematics, Jilin University, Changchun, 130012, P.R. China

autor

Ning Duan

• The No. 2 High School of Tangshan, Tangshan, 063000, P.R. China

Identyfikatory

DOI

10.4064/ba59-1-7