Bistable traveling waves for monotone semiflows with applications

Jian Fang; Xiao-Qiang Zhao

Journal of the European Mathematical Society (2015)

  • Volume: 017, Issue: 9, page 2243-2288
  • ISSN: 1435-9855

Abstract

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This paper is devoted to the study of traveling waves for monotone evolution systems of bistable type. In an abstract setting, we establish the existence of traveling waves for discrete and continuous-time monotone semiflows in homogeneous and periodic habitats. The results are then extended to monotone semiflows with weak compactness. We also apply the theory to four classes of evolution systems.

How to cite

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Fang, Jian, and Zhao, Xiao-Qiang. "Bistable traveling waves for monotone semiflows with applications." Journal of the European Mathematical Society 017.9 (2015): 2243-2288. <http://eudml.org/doc/277185>.

@article{Fang2015,
abstract = {This paper is devoted to the study of traveling waves for monotone evolution systems of bistable type. In an abstract setting, we establish the existence of traveling waves for discrete and continuous-time monotone semiflows in homogeneous and periodic habitats. The results are then extended to monotone semiflows with weak compactness. We also apply the theory to four classes of evolution systems.},
author = {Fang, Jian, Zhao, Xiao-Qiang},
journal = {Journal of the European Mathematical Society},
keywords = {monotone semiflows; traveling waves; bistable dynamics; periodic habitat; monotone semiflows; traveling waves; bistable dynamics; periodic habitat},
language = {eng},
number = {9},
pages = {2243-2288},
publisher = {European Mathematical Society Publishing House},
title = {Bistable traveling waves for monotone semiflows with applications},
url = {http://eudml.org/doc/277185},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Fang, Jian
AU - Zhao, Xiao-Qiang
TI - Bistable traveling waves for monotone semiflows with applications
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 9
SP - 2243
EP - 2288
AB - This paper is devoted to the study of traveling waves for monotone evolution systems of bistable type. In an abstract setting, we establish the existence of traveling waves for discrete and continuous-time monotone semiflows in homogeneous and periodic habitats. The results are then extended to monotone semiflows with weak compactness. We also apply the theory to four classes of evolution systems.
LA - eng
KW - monotone semiflows; traveling waves; bistable dynamics; periodic habitat; monotone semiflows; traveling waves; bistable dynamics; periodic habitat
UR - http://eudml.org/doc/277185
ER -

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