Attractors for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on unbounded domain(dagger)

doi:10.1080/14689367.2019.1590533

LZUFE-KMS

	Attractors for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on unbounded domain(dagger)
	Zhang, Fanghong ; Bai, Lihong
	2019-03-27
发表期刊	DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL
卷号	34 期号:4 页码:640-667
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.
关键词	Nonclassical diffusion equation of Kirchhoff type global attractor exponential attractors fractal dimension critical nonlinearity
DOI	10.1080/14689367.2019.1590533
收录类别	SCI ; EI ; SCOPUS ; SCIE
ISSN	1468-9367
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000464598300001
出版者	TAYLOR & FRANCIS LTD
EI入藏号	20191406721359
EI主题词	Fractal dimension
原始文献类型	Journal article (JA)
EISSN	1468-9375
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/690
专题	兰州财经大学
作者单位	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
推荐引用方式 GB/T 7714	Zhang, Fanghong,Bai, Lihong. Attractors for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on unbounded domain(dagger)[J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL,2019,34(4):640-667.
APA	Zhang, Fanghong,&Bai, Lihong.(2019).Attractors for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on unbounded domain(dagger).DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL,34(4),640-667.
MLA	Zhang, Fanghong,et al."Attractors for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on unbounded domain(dagger)".DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 34.4(2019):640-667.