Monotonicity of Bistable Transition Fronts in ℝN View Full Text


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Article Info

DATE

2016-04

AUTHORS

Hongjun Guo, François Hamel

ABSTRACT

This paper is concerned with the monotonicity of transition fronts for bistable reaction diffusion equations. Transition fronts generalize the standard notions of traveling fronts. Known examples of standard traveling fronts are the planar fronts and the fronts with conical-shaped or pyramidal level sets which are invariant in a moving frame. Other more general non-standard transition fronts with more complex level sets were constructed recently. In this paper, we prove the time monotonicity of all bistable transition fronts with non-zero global mean speed, whatever shape their level sets may have. More... »

PAGES

145-155

References to SciGraph publications

  • 2011-03. Existence, Uniqueness, and Stability of Generalized Traveling Waves in Time Dependent Monostable Equations in JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
  • 2009-04. Nontrivial large-time behaviour in bistable reaction–diffusion equations in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 2004-10. Traveling Waves in Diffusive Random Media in JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
  • 2013-05. Generalized Traveling Waves in Disordered Media: Existence, Uniqueness, and Stability in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2012-01. Existence and Non-Existence of Fisher-KPP Transition Fronts in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1977-12. The approach of solutions of nonlinear diffusion equations to travelling front solutions in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
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    http://scigraph.springernature.com/pub.10.1007/bf03377398

    DOI

    http://dx.doi.org/10.1007/bf03377398

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1024015286


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