A Kinetic Flocking Model with Diffusion
Publication in refereed journal

香港中文大學研究人員

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摘要We study the stability of the equilibrium states and the rate of convergence of solutions towards them for the continuous kinetic version of the Cucker-Smale flocking in presence of diffusion whose strength depends on the density. This kinetic equation describes the collective behavior of an ensemble of organisms, animals or devices which are forced to adapt their velocities according to a certain rule implying a final configuration in which the ensemble flies at the mean velocity of the initial configuration. Our analysis takes advantage both from the fact that the global equilibrium is a Maxwellian distribution function, and, on the contrary to what happens in the Cucker-Smale model (IEEE Trans Autom Control 52:852-862, 2007), the interaction potential is an integrable function. Precise conditions which guarantee polynomial rates of convergence towards the global equilibrium are found.
著者Duan RJ, Fornasier M, Toscani G
期刊名稱Communications in Mathematical Physics
出版年份2010
月份11
日期1
卷號300
期次1
出版社Springer Verlag (Germany)
頁次95 - 145
國際標準期刊號0010-3616
電子國際標準期刊號1432-0916
語言英式英語
Web of Science 學科類別Physics; Physics, Mathematical; PHYSICS, MATHEMATICAL

上次更新時間 2020-17-10 於 23:56