Energy-Like Functional in a Quasilinear Parabolic Chemotaxis System

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Abstract

This note deals with a one-dimensional quasilinear chemotaxis system. The first part summarizes recent results, in which a new energy-like functional is introduced and plays a key role. In the latter half, the energy-like functional will be derived in a more general situation.

Original languageEnglish
Title of host publicationSpringer INdAM Series
PublisherSpringer-Verlag Italia s.r.l.
Pages67-77
Number of pages11
DOIs
Publication statusPublished - 2021

Publication series

NameSpringer INdAM Series
Volume47
ISSN (Print)2281-518X
ISSN (Electronic)2281-5198

Keywords

  • Chemotaxis
  • Global existence
  • Lyapunov functional

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