Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/31394
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Du, Yihong | en |
dc.date.accessioned | 2021-08-26T03:29:18Z | - |
dc.date.available | 2021-08-26T03:29:18Z | - |
dc.date.issued | 2020-09-28 | - |
dc.identifier.citation | SN Partial Differential Equations and Applications, v.1 (5) | en |
dc.identifier.issn | 2662-2971 | en |
dc.identifier.issn | 2662-2963 | en |
dc.identifier.uri | https://hdl.handle.net/1959.11/31394 | - |
dc.description.abstract | In this short review, we describe some recent developments on the modelling of propagation by nonlinear partial differential equations, which involve local as well as nonlocal diffusion, and free boundaries. After a brief account of the classical works of Fisher, Kolmogorov–Petrovski–Piskunov (KPP), Skallem and Aronson-Weinberger, on the use of reaction-diffusion equations to model propagation and spreading speed, various models involving a free boundary are considered, which have the advantage of providing a clear spreading front over the classical models, apart from giving a spreading speed. These include nonlinear Stefan problems, the porous medium equation with a nonlinear source term, and nonlocal versions of the nonlinear Stefan problems in space dimension 1. The results selected here are mainly from recent works of the author and his collaborators, and care is taken to make the content accessible to readers who are not necessarily specialists in the area of the considered topics. | en |
dc.language | en | en |
dc.publisher | Springer | en |
dc.relation.ispartof | SN Partial Differential Equations and Applications | en |
dc.title | Propagation, diffusion and free boundaries | en |
dc.type | Review | en |
dc.identifier.doi | 10.1007/s42985-020-00035-x | en |
local.contributor.firstname | Yihong | en |
local.relation.isfundedby | ARC | en |
local.profile.school | School of Science & Technology | en |
local.profile.email | ydu@une.edu.au | en |
local.output.category | D4 | en |
local.record.place | au | en |
local.record.institution | University of New England | en |
local.publisher.place | Germany | en |
local.identifier.runningnumber | 35 | en |
local.identifier.scopusid | 85102672279 | en |
local.peerreviewed | Yes | en |
local.identifier.volume | 1 | en |
local.identifier.issue | 5 | en |
local.contributor.lastname | Du | en |
dc.identifier.staff | une-id:ydu | en |
local.profile.orcid | 0000-0002-1235-0636 | en |
local.profile.role | author | en |
local.identifier.unepublicationid | une:1959.11/31394 | en |
dc.identifier.academiclevel | Academic | en |
local.title.maintitle | Propagation, diffusion and free boundaries | en |
local.output.categorydescription | D4 Any Other Published Review | en |
local.search.author | Du, Yihong | en |
local.uneassociation | Yes | en |
local.atsiresearch | No | en |
local.sensitive.cultural | No | en |
local.year.published | 2020 | en |
local.fileurl.closedpublished | https://rune.une.edu.au/web/retrieve/b4df428d-1fef-4c38-b940-5a7282353a26 | en |
local.subject.for2020 | 490410 Partial differential equations | en |
local.subject.seo2020 | 280118 Expanding knowledge in the mathematical sciences | en |
dc.notification.token | b5995ac4-9257-4516-998c-b628905c8b4b | en |
local.codeupdate.date | 2021-10-26T14:51:36.337 | en |
local.codeupdate.eperson | ydu@une.edu.au | en |
local.codeupdate.finalised | true | en |
local.original.for2020 | 490410 Partial differential equations | en |
local.original.seo2020 | 280118 Expanding knowledge in the mathematical sciences | en |
Appears in Collections: | Review School of Science and Technology |
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