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https://hdl.handle.net/1959.11/18396
Title: | Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model | Contributor(s): | Du, Yihong (author) ; Liang, Xing (author) | Publication Date: | 2015 | DOI: | 10.1016/j.anihpc.2013.11.004 | Handle Link: | https://hdl.handle.net/1959.11/18396 | 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. | Publication Type: | Journal Article | Grant Details: | ARC/DP120100727 | Source of Publication: | Annales de l'Institut Henri Poincaré (C), Analyse Non Linéaire, 32(2), p. 279-305 | Publisher: | Elsevier BV | Place of Publication: | Germany | ISSN: | 1873-1430 0294-1449 |
Fields of Research (FoR) 2008: | 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems | Fields of Research (FoR) 2020: | 490409 Ordinary differential equations, difference equations and dynamical systems | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Socio-Economic Objective (SEO) 2020: | 280118 Expanding knowledge in the mathematical sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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Appears in Collections: | Journal Article School of Science and Technology |
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