Author Taniguchi, Masaharu|
Keywords Traveling front reaction-diffusion equation axisymmetric balanced
Note This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems - Series A following peer review. The definitive publisher-authenticated version Masaharu Taniguchi. Axisymmetric traveling fronts in balanced bistable reaction-diffusion equations. Discrete & Continuous Dynamical Systems - A, 2020, 40 (6) : 3981-3995. is available online at: https://doi.org/10.3934/dcds.2020126. </br>This fulltext is available in Mar. 2021.|
Published Date 2020-06
Publication Title Discrete and Continuous Dynamical Systems - Series A
Volume volume40
Issue issue6
Publisher American Institute of Mathematical Sciences
Start Page 3981
End Page 3995
ISSN 1078-0947
NCID AA11026216
Content Type Journal Article
language 英語
OAI-PMH Set 岡山大学
File Version author
DOI 10.3934/dcds.2020126
Web of Science KeyUT 000519540200042
Related Url isVersionOf https://doi.org/10.3934/dcds.2020126
FullText URL mjou_062_197_210.pdf
Author Amy Poh Ai Ling| Taniguchi, Masaharu|
Abstract The existence and stability of the Allen–Cahn equation discretized in space and time are studied in a finite spatial interval. If a parameter is less than or equals to a critical value, the zero solution is the only stationary solution. If the parameter is larger than the critical value, one has a positive stationary solution and this positive stationary solution is asymptotically stable.
Keywords Allen–Cahn equation stationary solution comparison theorem discretized
Published Date 2020-01
Publication Title Mathematical Journal of Okayama University
Volume volume62
Issue issue1
Publisher Department of Mathematics, Faculty of Science, Okayama University
Start Page 197
End Page 210
ISSN 0030-1566
NCID AA00723502
Content Type Journal Article
language 英語
Copyright Holders Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University
Author Taniguchi, Masaharu|
Keywords Traveling front Reaction-diffusion equation Asymmetric Balanced
Note This fulltext will be available in Oct 2021|
Published Date 2019-05-27
Publication Title Annales de l'Institut Henri Poincaré C, Analyse non linéaire
Volume volume36
Issue issue7
Publisher Elsevier
Start Page 1791
End Page 1816
ISSN 02941449
NCID AA10501074
Content Type Journal Article
language 英語
OAI-PMH Set 岡山大学
Copyright Holders © 2019 Elsevier Masson SAS. All rights reserved.
File Version author
DOI 10.1016/j.anihpc.2019.05.001
Web of Science KeyUT 000495481100001
Related Url isVersionOf https://doi.org/10.1016/j.anihpc.2019.05.001
FullText URL JDE_260_5_4301.pdf
Author Taniguchi, Masaharu|
Keywords Traveling front Cooperation diffusion system Non-symmetric
Published Date 2016-03-05
Publication Title Journal of Differential Equations
Volume volume260
Issue issue5
Publisher Academic Press
Start Page 4301
End Page 4338
ISSN 00220396
NCID AA00696680
Content Type Journal Article
language 英語
OAI-PMH Set 岡山大学
File Version author
DOI 10.1016/j.jde.2015.11.010
Web of Science KeyUT 000369464500013
Related Url isVersionOf https://doi.org/10.1016/j.jde.2015.11.010
Author Taniguchi, Masanari| Fukunaka, Ayako| Hagihara, Mitsue| Watanabe, Keiko| Kamino, Shinichiro| Kambe, Taiho| Enomoto, Shuichi| Hiromura, Makoto|
Published Date 2013-03-07
Publication Title PLOS ONE
Volume volume8
Issue issue3
Content Type Journal Article
Author Taniguchi, Masaharu|
Published Date 2015-01
Publication Title SIAM Journal on Mathematical Analysis
Volume volume47
Issue issue1
Content Type Journal Article