Global Attractor for a Fourth-Order Parabolic Equation Modeling Epitaxial Thin Film Growth

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

Abstrakty

EN

This paper is concerned with a fourth-order parabolic equation which models epitaxial growth of nanoscale thin films. Based on the regularity estimates for semigroups and the classical existence theorem of global attractors, we prove that the fourth order parabolic equation possesses a global attractor in a subspace of H², which attracts all the bounded sets of H² in the H²-norm.

Kategorie tematyczne

• 35K35: Initial-boundary value problems for higher-order parabolic equations
• 76A20: Thin fluid films
• 35B41: Attractors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2012
• Tom: 60
• Numer: 3
• Strony: 259-268

Daty

wydano

2012

Twórcy

autor

Ning Duan

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

autor

Xiaopeng Zhao

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

Identyfikatory

DOI

10.4064/ba60-3-6