Open AccessGlobal dynamics of solutions for a sixth-order parabolic equation describing continuum evolution of film-free surface
Author(s) -
Ning Duan,
Xiaopeng Zhao
Publication year - 2022
Publication title -
nonlinear analysis
Language(s) - English
Resource type - Journals
eISSN - 2335-8963
pISSN - 1392-5113
DOI - 10.15388/namc.2022.27.25185
Subject(s) - attractor , mathematics , surface (topology) , order (exchange) , dynamics (music) , evolution equation , mathematical analysis , physics , geometry , finance , acoustics , economics
This paper is concerned with a sixth-order diffusion equation, which describes continuum evolution of film-free surface. By using the regularity estimates for the semigroups, iteration technique and the classical existence theorem of global attractors we verified the existence of global attractor for this surface diffusion equation in the spaces H3(Ω) and fractional-order spaces Hk(Ω), where 0 ≤ k < ∞.