Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604124 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2015 | 27 Pages |
Abstract
We consider a radially symmetric free boundary problem with logistic nonlinear term. The spatial environment is assumed to be asymptotically periodic at infinity in the radial direction. For such a free boundary problem, it is known from [7] that a spreading-vanishing dichotomy holds. However, when spreading occurs, only upper and lower bounds are obtained in [7] for the asymptotic spreading speed. In this paper, we investigate one-dimensional pulsating semi-waves in spatially periodic media. We prove existence, uniqueness of such pulsating semi-waves, and show that the asymptotic spreading speed of the free boundary problem coincides with the speed of the corresponding pulsating semi-wave.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yihong Du, Xing Liang,