植绒(纹理)
物理
动能
统计物理学
数学
数学分析
作者
Seung-Yeal Ha,Bingkang Huang,Qinghua Xiao,Xiongtao Zhang
出处
期刊:Communications on Pure and Applied Analysis
[American Institute of Mathematical Sciences]
日期:2020-01-01
卷期号:19 (2): 835-882
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 Cucker-Smale-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.
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