On the global solvability of the coupled kinetic-fluid system for flocking with large initial data | |
Ha, Seung-Yeal2,3,4; Huang, Bingkang1,7; Xiao, Qinghua6; Zhang, Xiongtao5 | |
刊名 | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES |
2018 | |
卷号 | 28期号:1页码:1-60 |
关键词 | Coupled Kinetic-fluid System Large Initial Data Global Classical Solutions |
ISSN号 | 0218-2025 |
DOI | 10.1142/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) |
内容类型 | 期刊论文 |
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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