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Asymptotic behavior of short trajectories to nonhomogeneous heat-conducting magnetohydrodynamic equations
Han, Pigong1,2; Lei, Keke1,2; Liu, Chenggang3; Wang, Xuewen1,2
2022
Source PublicationDYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS
ISSN1548-159X
Volume19Issue:3Pages:207-224
AbstractIn this paper, we study the asymptotic behavior of short trajectories of weak solutions to the 2D nonhomogeneous heat-conducting magneto-hydrodynamic equations. Several bounds for short trajectories are obtained. An attracting set is constructed, which consists of orbits on [0, 1] of complete bounded solutions. Furthermore, the attracting set is compact in different topologies.
KeywordIncompressible heat-conducting flows asymptotic behavior nonhomogeneous short trajectories
Indexed BySCI
Language英语
Funding ProjectNational Key R&D Program of China[2021YFA1000800] ; National Natural Science Foundation of China[11871457] ; K. C. Wong Education Foundation, Chinese Academy of Sciences
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000802681300003
PublisherINT PRESS BOSTON, INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/61415
Collection应用数学研究所
Corresponding AuthorHan, Pigong
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China
Recommended Citation
GB/T 7714
Han, Pigong,Lei, Keke,Liu, Chenggang,et al. Asymptotic behavior of short trajectories to nonhomogeneous heat-conducting magnetohydrodynamic equations[J]. DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS,2022,19(3):207-224.
APA Han, Pigong,Lei, Keke,Liu, Chenggang,&Wang, Xuewen.(2022).Asymptotic behavior of short trajectories to nonhomogeneous heat-conducting magnetohydrodynamic equations.DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS,19(3),207-224.
MLA Han, Pigong,et al."Asymptotic behavior of short trajectories to nonhomogeneous heat-conducting magnetohydrodynamic equations".DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS 19.3(2022):207-224.
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