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  • 标题:Multiscale Analysis of a Retarded Equation: From Kinetic to Macroscopic Scale
  • 本地全文:下载
  • 作者:Carlo Bianca ; Annie Lemarchand
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2015
  • 卷号:48
  • 期号:1
  • 页码:640-644
  • DOI:10.1016/j.ifacol.2015.05.003
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractThis paper is devoted to the problem of linking the dynamics at kinetic scale, described by a retarded thermostatted kinetic equation, with the dynamics at macroscopic scale. Specifically the macroscopic equation is derived by considering a scaling parameter into the underlying retarded equation and considering the related convergence when the scaling parameter goes to zero. The results show the onset of diffusion at macroscopic scale.
  • 关键词:KeywordsDiffusionThermostatsNonlinearityScalingMacroscopic equation
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