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.

引用

页码：640 / 667

页数：28

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