DYNAMICS FOR A NON-AUTONOMOUS REACTION DIFFUSION MODEL WITH THE FRACTIONAL DIFFUSION

被引：4
|
作者：
Tan, Wen [1 ,2 ]
Sun, Chunyou [3 ]
机构：
[1] Shenzhen Univ, Sch Math & Stat, Shenzhen 518060, Guangdong, Peoples R China
[2] Shenzhen Univ, Coll Optoelect Engn, Key Lab Optoelect Devices & Syst, Minist Educ & Guangdong Prov, Shenzhen 518060, Guangdong, Peoples R China
[3] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2017年 / 37卷 / 12期
关键词：
Non-autonomous; fractional diffusion; Tail estimate; (L-2; L2+delta) pull-back attraction; H-s) pullback attractors; PULLBACK ATTRACTORS; L-P; EQUATIONS;
D O I：
10.3934/dcds.2017260
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the dynamics of a non-autonomous reaction diffusion model with the fractional diffusion on the whole space. We firstly prove the existence of a (L-2,L-2) pullback Du-attractor of this model. Then we show that the pullback Du-attractor attract the Du class (especially all L-2-bounded set) in L2+delta-norm for any delta is an element of[0,infinity). Moreover, the solution of the model is shown to be continuous in H-s with respect to initial data under a slightly stronger condition on external forcing term. As an application, we prove that the (L-2,L-2) pullback Du-attractor indeed attract the class of Du in H-s-norm, and thus the existence of a (L-2,H-s) pullback Du-attractor is obtained.
引用
收藏
页码：6035 / 6067
页数：33
相关论文
共 50 条
12345