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A GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO THE TWO-DIMENSIONAL KINETIC-FLUID MODEL FOR FLOCKING WITH LARGE INITIAL DATA

文献类型：期刊论文

作者Ha, Seung-Yeal4,5,6; Huang, Bingkang3; Xiao, Qinghua2; Zhang, Xiongtao1
刊名COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
出版日期2020-02-01
卷号19期号:2页码:835-882
ISSN号1534-0392
关键词Compressible Navier-Stokes equations Cucker-Smale-Fokker-Planck equation global classical solutions large initial data vacuum
DOI10.3934/cpaa.2020039
英文摘要We present a two-dimensional coupled system for flocking particle-compressible fluid interactions, and study its global solvability for the proposed coupled system. For particle and fluid dynamics, we employ the kinetic CuckerSmale-Fokker-Planck (CS-FP) model for flocking particle part, and the isentropic compressible Navier-Stokes (N-S) equations for the fluid part, respectively, and these separate systems are coupled through the drag force. For the global solvability of the coupled system, we present a sufficient framework for the global existence of classical solutions with large initial data which can contain vacuum using the weighted energy method. We extend an earlier global solvability result [20] in the one-dimensional setting to the two-dimensional setting.
WOS关键词NAVIER-STOKES EQUATIONS ; WELL-POSEDNESS ; WEAK SOLUTIONS ; CAUCHY-PROBLEM ; VLASOV ; SYSTEM ; INEQUALITIES ; DYNAMICS ; PROOF
资助项目Samsung Science and Technology Foundation[SSTF-BA1401-03] ; Youth Innovation Promotion Association ; National Natural Science Foundation of China[11801194] ; National Natural Science Foundation of China[11871469] ; National Natural Science Foundation of China[11501556]
WOS研究方向Mathematics
语种英语
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号WOS:000489566000010
资助机构Samsung Science and Technology Foundation ; Samsung Science and Technology Foundation ; Youth Innovation Promotion Association ; Youth Innovation Promotion Association ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Samsung Science and Technology Foundation ; Samsung Science and Technology Foundation ; Youth Innovation Promotion Association ; Youth Innovation Promotion Association ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Samsung Science and Technology Foundation ; Samsung Science and Technology Foundation ; Youth Innovation Promotion Association ; Youth Innovation Promotion Association ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Samsung Science and Technology Foundation ; Samsung Science and Technology Foundation ; Youth Innovation Promotion Association ; Youth Innovation Promotion Association ; National Natural Science Foundation of China ; National Natural Science Foundation of China
源URL[http://ir.wipm.ac.cn/handle/112942/21464]  
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.Huazhong Univ Sci & Technol, Ctr Math Sci, Wuhan 430074, Hubei, Peoples R China
2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China
3.Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
4.Korea Inst Adv Study, Hoegiro 85, Seoul 02455, South Korea
5.Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea
6.Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
推荐引用方式
GB/T 7714		 Ha, Seung-Yeal,Huang, Bingkang,Xiao, Qinghua,et al. A GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO THE TWO-DIMENSIONAL KINETIC-FLUID MODEL FOR FLOCKING WITH LARGE INITIAL DATA[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2020,19(2):835-882.
APA Ha, Seung-Yeal,Huang, Bingkang,Xiao, Qinghua,&Zhang, Xiongtao.(2020).A GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO THE TWO-DIMENSIONAL KINETIC-FLUID MODEL FOR FLOCKING WITH LARGE INITIAL DATA.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,19(2),835-882.
MLA Ha, Seung-Yeal,et al."A GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO THE TWO-DIMENSIONAL KINETIC-FLUID MODEL FOR FLOCKING WITH LARGE INITIAL DATA".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 19.2(2020):835-882.

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来源：武汉物理与数学研究所

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