中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
On the global solvability of the coupled kinetic-fluid system for flocking with large initial data

文献类型:期刊论文

AuthorHa, Seung-Yeal2,3,4; Huang, Bingkang1,7; Xiao, Qinghua6; Zhang, Xiongtao5
SourceMATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Issued Date2018
Volume28Issue:1Pages:1-60
KeywordCoupled Kinetic-fluid System Large Initial Data Global Classical Solutions
ISSN0218-2025
DOI10.1142/S021820251850001X
SubtypeArticle
English AbstractWe 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 KeywordNAVIER-STOKES EQUATIONS ; DENSITY-DEPENDENT VISCOSITY ; CLASSICAL-SOLUTIONS ; CAUCHY-PROBLEM ; FOKKER-PLANCK ; HYDRODYNAMIC LIMIT ; COMPRESSIBLE FLOWS ; PARTICLES REGIME ; WELL-POSEDNESS ; WEAK SOLUTIONS
WOS Research AreaMathematics
Language英语
WOS IDWOS:000418032000001
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
Funding OrganizationNRF 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)