The Decay Rates of Traveling Waves and Spectral Analysis for a Class of Nonlocal Evolution Equations

G. Zhao, Shigui Ruan

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We obtain the precise decay rates of traveling waves for a class of nonlocal evolution equations arising in the theory of phase transitions and mathematical biology. We also investigate the spectrum of the operator obtained by linearizing at such a traveling wave. The detailed description of the spectrum is established.

Original languageEnglish (US)
Pages (from-to)142-162
Number of pages21
JournalMathematical Modelling of Natural Phenomena
Volume10
Issue number6
DOIs
StatePublished - 2015

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Nonlocal Equations
Spectral Analysis
Decay Rate
Traveling Wave
Spectrum analysis
Evolution Equation
Mathematical Biology
Phase Transition
Phase transitions
Operator
Class

Keywords

  • Exponential decay rate
  • Nonlocal evolution equation
  • Spectral analysis
  • Traveling wave

ASJC Scopus subject areas

  • Modeling and Simulation

Cite this

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abstract = "We obtain the precise decay rates of traveling waves for a class of nonlocal evolution equations arising in the theory of phase transitions and mathematical biology. We also investigate the spectrum of the operator obtained by linearizing at such a traveling wave. The detailed description of the spectrum is established.",
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