Instability of spikes in the presence of conservation laws

Alin Pogan, Arnd Scheel

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We show that spikes are unstable in a class of scalar reaction-diffusion equations coupled to a general conservation law. Our class includes the Keller-Segel model for chemotaxis, phase-field models and models for chemical reactions in closed chemical reactors.

Original languageEnglish (US)
Pages (from-to)979-998
Number of pages20
JournalZeitschrift fur Angewandte Mathematik und Physik
Issue number6
StatePublished - Dec 2010


  • Conservation law
  • Essential spectrum
  • Spikes
  • Stability


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