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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) ; Lou, Bendong (author); Zhou, Maolin (author) | Publication Date: | 2015 | Open Access: | Yes | DOI: | 10.1137/140994848 | Handle Link: | https://hdl.handle.net/1959.11/18390 | Open Access Link: | https://arxiv.org/abs/1501.06258 | 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 |
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Appears in Collections: | Journal Article |
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