Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/28561
Title: | Spreading in space-time periodic media governed by a monostable equation with free boundaries, Part 2: Spreading speed | Contributor(s): | Ding, Weiwei (author); Du, Yihong (author) ; Liang, Xing (author) | Publication Date: | 2019 | DOI: | 10.1016/j.anihpc.2019.01.005 | Handle Link: | https://hdl.handle.net/1959.11/28561 | Abstract: | This is Part 2 of our work aimed at classifying the long-time behavior of the solution to a free boundary problem with monostable reaction term in space-time periodic media. In Part 1 (see [2]) we have established a theory on the existence and uniqueness of solutions to this free boundary problem with continuous initial functions, as well as a spreading-vanishing dichotomy. We are now able to develop the methods of Weinberger [15,16]and others [6-10]to prove the existence of asymptotic spreading speed when spreading happens, without knowing a priori the existence of the corresponding semi-wave solutions of the free boundary problem. This is a completely different approach from earlier works on the free boundary model, where the spreading speed is determined by firstly showing the existence of a corresponding semi-wave. Such a semi-wave appears difficult to obtain by the earlier approaches in the case of space-time periodic media considered in our work here. | Publication Type: | Journal Article | Grant Details: | ARC/DP150101867 | Source of Publication: | Annales de l'Institut Henri Poincaré (C), Analyse Non Linéaire, 36(6), p. 1539-1573 | Publisher: | Elsevier BV | Place of Publication: | Germany | ISSN: | 1873-1430 0294-1449 |
Fields of Research (FoR) 2008: | 010110 Partial Differential Equations | Fields of Research (FoR) 2020: | 490410 Partial differential equations | 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 |
---|---|
Appears in Collections: | Journal Article School of Science and Technology |
Files in This Item:
File | Size | Format |
---|
SCOPUSTM
Citations
16
checked on Sep 28, 2024
Page view(s)
1,512
checked on Nov 5, 2023
Download(s)
2
checked on Nov 5, 2023
Items in Research UNE are protected by copyright, with all rights reserved, unless otherwise indicated.