摘要
考虑Cahn－Hilliard方程且a2p-1＞0）的初边值问题，证明了系统在H1－H3中关于f系数的状动于H2中Hausdoorff半距离下稳定的全局吸引子的存在性．
Consider the initial-boundary value problem for the Cahn-Hilliard equation:ut + λ△2u - △f(u)= 0, (f(u) = ∑2p-1 j=1 αjuj with α2p-1 > 0) It is proved that theproblem possesses in H1 - H3 a global attractor Af(α) which is stable with repect toperturbations in the coefficients of f in the sense of Hausdorff semi-distance in H2.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2000年第1期127-134,共8页
Acta Mathematica Sinica：Chinese Series
