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On the global solvability of the coupled kinetic-fluid system for flocking with large initial data

文献类型：期刊论文

作者Ha, Seung-Yeal2,3,4; Huang, Bingkang1,7; Xiao, Qinghua6; Zhang, Xiongtao5
刊名MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
出版日期2018
卷号28期号:1页码:1-60
ISSN号0218-2025
关键词Coupled Kinetic-fluid System Large Initial Data Global Classical Solutions
DOI10.1142/S021820251850001X
文献子类Article
英文摘要We study the dynamics of infinitely many Cucker-Smale (CS) flocking particles under the interplay of random communication and compressible fluids in planar wave case. For the dynamics of an ensemble of flocking particles, we use the kinetic Cucker-Smale-Fokker-Planck (CS-FP) equation with a degenerate diffusion, whereasfor the fluid component, we use the compressible Navier-Stokes (NS) equations. These two subsystems are coupled via the drag force. For this coupled model, we present a global existence of classical solutions for arbitrarily large initial data which may contain vacuum.
WOS关键词NAVIER-STOKES EQUATIONS ; DENSITY-DEPENDENT VISCOSITY ; CLASSICAL-SOLUTIONS ; CAUCHY-PROBLEM ; FOKKER-PLANCK ; HYDRODYNAMIC LIMIT ; COMPRESSIBLE FLOWS ; PARTICLES REGIME ; WELL-POSEDNESS ; WEAK SOLUTIONS
WOS研究方向Mathematics
语种英语
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号WOS:000418032000001
资助机构NRF Grant(NRF-2017R1A2B2001864) ; NRF Grant(NRF-2017R1A2B2001864) ; Samsung Science and Technology Foundation(SSTF-BA1401-03) ; Samsung Science and Technology Foundation(SSTF-BA1401-03) ; National Natural Science Foundation of China(11501556) ; National Natural Science Foundation of China(11501556) ; NRF Grant(NRF-2017R1A2B2001864) ; NRF Grant(NRF-2017R1A2B2001864) ; Samsung Science and Technology Foundation(SSTF-BA1401-03) ; Samsung Science and Technology Foundation(SSTF-BA1401-03) ; National Natural Science Foundation of China(11501556) ; National Natural Science Foundation of China(11501556) ; NRF Grant(NRF-2017R1A2B2001864) ; NRF Grant(NRF-2017R1A2B2001864) ; Samsung Science and Technology Foundation(SSTF-BA1401-03) ; Samsung Science and Technology Foundation(SSTF-BA1401-03) ; National Natural Science Foundation of China(11501556) ; National Natural Science Foundation of China(11501556) ; NRF Grant(NRF-2017R1A2B2001864) ; NRF Grant(NRF-2017R1A2B2001864) ; Samsung Science and Technology Foundation(SSTF-BA1401-03) ; Samsung Science and Technology Foundation(SSTF-BA1401-03) ; National Natural Science Foundation of China(11501556) ; National Natural Science Foundation of China(11501556)
源URL[http://ir.wipm.ac.cn/handle/112942/12754]  
专题中国科学院武汉物理与数学研究所
通讯作者Xiao, Qinghua
作者单位1.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
2.Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
3.Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea
4.Korea Inst Adv Study, Hoegiro 85, Seoul 02455, South Korea
5.Huazhong Univ Sci & Technol, Ctr Math Sci, 1037 Luoyu Rd, Wuhan 430074, Hubei, Peoples R China
6.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China
7.Wuhan Univ, Computat Sci Hubei Key Lab, Wuhan 430072, Hubei, Peoples R China
推荐引用方式
GB/T 7714		 Ha, Seung-Yeal,Huang, Bingkang,Xiao, Qinghua,et al. On the global solvability of the coupled kinetic-fluid system for flocking with large initial data[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2018,28(1):1-60.
APA Ha, Seung-Yeal,Huang, Bingkang,Xiao, Qinghua,&Zhang, Xiongtao.(2018).On the global solvability of the coupled kinetic-fluid system for flocking with large initial data.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,28(1),1-60.
MLA Ha, Seung-Yeal,et al."On the global solvability of the coupled kinetic-fluid system for flocking with large initial data".MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 28.1(2018):1-60.

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