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)orcid ; 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

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