Sharp interface limit of the Fisher-KPP equation when initial data have slow exponential decay
| hal.structure.identifier | Institut de Mathématiques et de Modélisation de Montpellier [I3M] | |
| dc.contributor.author | ALFARO, Matthieu | |
| hal.structure.identifier | Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DUCROT, Arnaud | |
| dc.date.accessioned | 2024-04-04T02:29:10Z | |
| dc.date.available | 2024-04-04T02:29:10Z | |
| dc.date.issued | 2011 | |
| dc.identifier.issn | 1531-3492 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190153 | |
| dc.description.abstractEn | We investigate the singular limit, as $\ep \to 0$, of the Fisher equation $\partial _t u=\ep \Delta u + \ep ^{-1}u(1-u)$ in the whole space. We consider initial data with compact support plus perturbations with {\it slow exponential decay}. We prove that the sharp interface limit moves by a constant speed, which dramatically depends on the tails of the initial data. By performing a fine analysis of both the generation and motion of interface, we provide a new estimate of the thickness of the transition layers. | |
| dc.language.iso | en | |
| dc.publisher | American Institute of Mathematical Sciences | |
| dc.title.en | Sharp interface limit of the Fisher-KPP equation when initial data have slow exponential decay | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/dcdsb.2011.16.15 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1004.1735 | |
| bordeaux.journal | Discrete and Continuous Dynamical Systems - Series B | |
| bordeaux.page | 16 (2011), 15-29. | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00472212 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00472212v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Discrete%20and%20Continuous%20Dynamical%20Systems%20-%20Series%20B&rft.date=2011&rft.spage=16%20(2011),%2015-29.&rft.epage=16%20(2011),%2015-29.&rft.eissn=1531-3492&rft.issn=1531-3492&rft.au=ALFARO,%20Matthieu&DUCROT,%20Arnaud&rft.genre=article |
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