A+ CATEGORY SCIENTIFIC UNIT

Self-similarity in chemotaxis systems

Volume 111 / 2008

Yūki Naito, Takashi Suzuki Colloquium Mathematicum 111 (2008), 11-34 MSC: 35K55, 35B05, 35B40. DOI: 10.4064/cm111-1-2

Abstract

We consider a system which describes the scaling limit of several chemotaxis systems. We focus on self-similarity, and review some recent results on forward and backward self-similar solutions to the system.

Authors

  • Yūki NaitoDepartment of Applied Mathematics
    Graduate School of Engineering
    Kobe University
    Kobe, 657-8501, Japan
    e-mail
  • Takashi SuzukiDivision of Mathematical Science
    Department of System Innovation
    Graduate School of Engineering Science
    Osaka University
    Machikaneyamacho 1-3
    Toyonaka, 560-8531, Japan
    e-mail

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