Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/18390
Title: Nonlinear Diffusion Problems With Free Boundaries: Convergence, Transition Speed, and Zero Number Arguments
Contributor(s): Du, Yihong  (author)orcid ; Lou, Bendong (author); Zhou, Maolin  (author)
Publication Date: 2015
Open Access: Yes
DOI: 10.1137/140994848Open Access Link
Handle Link: https://hdl.handle.net/1959.11/18390
Open Access Link: https://arxiv.org/abs/1501.06258Open Access Link
Abstract: This paper continues the investigation of [Du and Lou, 'J. Eur. Math. Soc. (JEMS)', arXiv:1301.5373, 2013], where the long-time behavior of positive solutions to a nonlinear diffusion equation of the form 'ut = uₓₓ + f(u)' for 'x' over a varying interval '(g(t), h(t))' was examined.
Publication Type: Journal Article
Grant Details: ARC/DP120100727
Source of Publication: SIAM Journal on Mathematical Analysis, 47(5), p. 3555-3584
Publisher: Society for Industrial and Applied Mathematics
Place of Publication: United States of America
ISSN: 1095-7154
0036-1410
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

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