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[02006] Dynamics of localization patterns in some nonlocal evolution equations

  • Session Time & Room : 1C (Aug.21, 13:20-15:00) @G501
  • Type : Contributed Talk
  • Abstract : Recently, studies have been proposed to simplify biological pattern formation problems by using nonlocal evolution equations to capture the self-organization caused by complex interactions with many factors. Especially, it has been reported that linear reaction-diffusion networks reduce to some nonlocal evolution equations reproducing patterns. Also, nonlocal effects are derived to reduce the structure of the network. In this talk, we report the influence of nonlocal effects on pattern dynamics for this reduced equation.
  • Classification : 35B36, 92C15, 35K57
  • Format : Talk at Waseda University
  • Author(s) :
    • Hiroshi Ishii (Kyoto University)