Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/13229
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | DE MAESSCHALCK, Peter | - |
dc.contributor.author | Popovic, Nikola | - |
dc.date.accessioned | 2012-02-28T12:38:05Z | - |
dc.date.available | 2012-02-28T12:38:05Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 386 (2), p. 542-558 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | http://hdl.handle.net/1942/13229 | - |
dc.description.abstract | We consider front propagation in a family of scalar reaction–diffusion equations in the asymptotic limit where the polynomial degree of the potential function tends to infinity. We investigate the Gevrey properties of the corresponding critical propagation speed, proving that the formal series expansion for that speed is Gevrey-1 with respect to the inverse of the degree. Moreover, we discuss the question of optimal truncation. Finally, we present a reliable numerical algorithm for evaluating the coefficients in the expansion with arbitrary precision and to any desired order, and we illustrate that algorithm by calculating explicitly the first ten coefficients. Our analysis builds on results obtained previously in [F. Dumortier, N. Popovi ´ c, T.J. Kaper, The asymptotic critical wave speed in a family of scalar reaction–diffusion equations, J. Math. Anal. Appl. 326 (2) (2007) 1007–1023], and makes use of the blow-up technique in combination with geometric singular perturbation theory and complex analysis, while the numerical evaluation of the coefficients in the expansion for the critical speed is based on rigorous interval arithmetic. | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.rights | 2011 Elsevier Inc. All rights reserved. | - |
dc.subject.other | Reaction-diffusion equations | - |
dc.subject.other | Front propagation | - |
dc.subject.other | Critical wave speeds | - |
dc.subject.other | Asymptotic expansions | - |
dc.subject.other | Blow-up technique | - |
dc.subject.other | Gevrey asymptotics | - |
dc.subject.other | Optimal truncation | - |
dc.title | Gevrey properties of the asymptotic critical wave speed in scalar reaction-diffusion equations | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 558 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 542 | - |
dc.identifier.volume | 386 | - |
local.bibliographicCitation.jcat | A1 | - |
local.publisher.place | 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1016/j.jmaa.2011.08.016 | - |
dc.identifier.isi | 000295563500005 | - |
dc.identifier.eissn | 1096-0813 | - |
local.uhasselt.international | yes | - |
item.fullcitation | DE MAESSCHALCK, Peter & Popovic, Nikola (2012) Gevrey properties of the asymptotic critical wave speed in scalar reaction-diffusion equations. In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 386 (2), p. 542-558. | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2012 | - |
item.contributor | DE MAESSCHALCK, Peter | - |
item.contributor | Popovic, Nikola | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 0022-247X | - |
crisitem.journal.eissn | 1096-0813 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Gevrey properties of the asymptotic critical wave speed.pdf | Published version | 358.36 kB | Adobe PDF | View/Open |
SCOPUSTM
Citations
2
checked on Sep 3, 2020
WEB OF SCIENCETM
Citations
2
checked on Sep 26, 2024
Page view(s)
36
checked on Sep 7, 2022
Download(s)
18
checked on Sep 7, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.