Two-dimensional curved fronts in a periodic shear flow |
| |
Authors: | Mohammad El SmailyFrançois Hamel Rui Huang |
| |
Institution: | a Carnegie Mellon University, Department of Mathematical Sciences, Pittsburgh, PA, 15213, USAb Aix-Marseille Université & Institut Universitaire de France, LATP, FST, Avenue Escadrille Normandie-Niemen, F-13397 Marseille Cedex 20, Francec School of Mathematical Sciences, South China Normal University, Guangzhou, Guangdong 510631, China |
| |
Abstract: | This paper is devoted to the study of traveling fronts of reaction-diffusion equations with periodic advection in the whole plane R2. We are interested in curved fronts satisfying some “conical” conditions at infinity. We prove that there is a minimal speed c∗ such that curved fronts with speed c exist if and only if c≥c∗. Moreover, we show that such curved fronts are decreasing in the direction of propagation, that is, they are increasing in time. We also give some results about the asymptotic behaviors of the speed with respect to the advection, diffusion and reaction coefficients. |
| |
Keywords: | 35B40 35B50 35J60 |
本文献已被 ScienceDirect 等数据库收录! |
|