Attractors for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on unbounded domain†

被引：0
|
作者：
Zhang, Fanghong [1 ,2 ]
Bai, Lihong [3 ]
机构：
[1] Reg Circular Econ Key Lab Gansu Higher Inst, Lanzhou, Gansu, Peoples R China
[2] Lanzhou Univ Finance & Econ, Longqiao Coll, Dept Econ & Trade, Lanzhou, Gansu, Peoples R China
[3] Gansu Inst Architectural Technol, Dept Basic Courses, Lanzhou, Gansu, Peoples R China
来源：
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2019年 / 34卷 / 04期
关键词：
Nonclassical diffusion equation of Kirchhoff type; global attractor; exponential attractors; fractal dimension; critical nonlinearity; ASYMPTOTIC-BEHAVIOR; EVOLUTION-EQUATIONS; EXISTENCE; DYNAMICS; UNIQUENESS; DECAY;
D O I：
10.1080/14689367.2019.1590533
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the long-time behavior of the solutions for the following nonclassical diffusion equations of Kirchhoff type First, we prove the well-posedness of solution for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on , then the existence of global attractor is established in the natural energy space . Finally, we obtain the existence of exponential attractors in , as a product, the global attractor has finite fractal dimension.
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页码：640 / 667
页数：28
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