Bistable traveling waves for monotone semiflows with applications
Journal of the European Mathematical Society, Tome 17 (2015) no. 9, pp. 2243-2288
Cet article a éte moissonné depuis la source EMS Press
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.
Classification :
37-XX, 00-XX, 35-XX
Keywords: Monotone semiflows, traveling waves, bistable dynamics, periodic habitat
Keywords: Monotone semiflows, traveling waves, bistable dynamics, periodic habitat
@article{JEMS_2015_17_9_a5,
author = {Jian Fang and Xiao-Qiang Zhao},
title = {Bistable traveling waves for monotone semiflows with applications},
journal = {Journal of the European Mathematical Society},
pages = {2243--2288},
year = {2015},
volume = {17},
number = {9},
doi = {10.4171/jems/556},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/556/}
}
TY - JOUR AU - Jian Fang AU - Xiao-Qiang Zhao TI - Bistable traveling waves for monotone semiflows with applications JO - Journal of the European Mathematical Society PY - 2015 SP - 2243 EP - 2288 VL - 17 IS - 9 UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/556/ DO - 10.4171/jems/556 ID - JEMS_2015_17_9_a5 ER -
Jian Fang; Xiao-Qiang Zhao. Bistable traveling waves for monotone semiflows with applications. Journal of the European Mathematical Society, Tome 17 (2015) no. 9, pp. 2243-2288. doi: 10.4171/jems/556
Cité par Sources :