Hostname: page-component-669899f699-7xsfk Total loading time: 0 Render date: 2025-04-26T23:32:16.344Z Has data issue: false hasContentIssue false
  • English
  • Français

Entire solutions of reaction—diffusion equations with balanced bistable nonlinearities

Published online by Cambridge University Press:  12 July 2007

Xinfu Chen ,
Jong-Shenq Guo  and
Hirokazu Ninomiya
Xinfu Chen
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA ([email protected])
Jong-Shenq Guo
Affiliation:
Department of Mathematics, National Taiwan Normal University, Taipei 116, Taiwan ([email protected])
Hirokazu Ninomiya
Affiliation:
Department of Applied Mathematics and Informatics, Ryukoku University, Seta, Otsu 520-2194, Japan ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper deals with entire solutions of a bistable reaction—diffusion equation for which the speed of the travelling wave connecting two constant stable equilibria is zero. Entire solutions which behave as two travelling fronts approaching, with super-slow speeds, from opposite directions and annihilating in a finite time are constructed by using a quasi-invariant manifold approach. Such solutions are shown to be unique up to space and time translations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 6 , December 2006 , pp. 1207 - 1237
Copyright
Copyright © Royal Society of Edinburgh 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable