Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/56056
Title: The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in R3
Contributor(s): Du, Yihong  (author)orcid ; Ni, Wenjie  (author)orcid 
Publication Date: 2022-06-16
Open Access: Yes
DOI: 10.3934/mine.2023041
Handle Link: https://hdl.handle.net/1959.11/56056
Abstract: 

This paper is concerned with the radially symmetric Fisher-KPP nonlocal diffusion equation with free boundary in dimension 3. For arbitrary dimension N ≥ 2, in [18], we have shown that its long-time dynamics is characterised by a spreading-vanishing dichotomy" moreover, we have found a threshold condition on the kernel function that governs the onset of accelerated spreading, and determined the spreading speed when it is finite. In a more recent work [19], we have obtained sharp estimates of the spreading rate when the kernel function J(|x|) behaves like |x|−β as |x| → ∞ in RN (N ≥ 2). In this paper, we obtain more accurate estimates for the spreading rate when N = 3, which employs the fact that the formulas relating the involved kernel functions in the proofs of [19] become particularly simple in dimension 3.

Publication Type: Journal Article
Grant Details: ARC/DP190103757
Source of Publication: Mathematics in Engineering, 5(2), p. 1-26
Publisher: AIMS Press
Place of Publication: United States of America
ISSN: 2640-3501
Fields of Research (FoR) 2020: 490410 Partial differential equations
490105 Dynamical systems in applications
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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