摘要
研究非自治Cahn-Hilliard方程在有界区域上指数吸引子的存在性。首先通过Poincare不等式和Gronwall引理验证解半群S(t)存在有界吸收集,进而运用条件C证明了非自治Cahn-Hilliard方程指数吸引子的存在性。
On bounded domain,the existence of exponential attractor of nonautonomous Cahn-Hilliard equation is studied.Firstly,the existence of bounded attractor of solution semigroup S(t)is proved by Poincare inequality and Gronwall Lemma,and then the existence of exponential attractor of nonautonomous Cahn-Hilliard equation is proved by condition C.
作者
张晓雨
姜金平
ZHANG Xiao-yu;JIANG Jin-ping(School of Mathematics and Computer Science,Yan′an University,Yan′an 716000,China)
出处
《延安大学学报（自然科学版）》
2021年第2期72-74,共3页
Journal of Yan'an University：Natural Science Edition
基金
陕西省自然科学基金项目(2018JM1042)。
