Repository logo
 
Publication

A reaction-diffusion model for a class of nonlinear parabolic equations with moving boundaries: Existence, uniqueness, exponential decay and simulation

2014Journal article Restricted access
Simple item page
dc.contributor.authorRobalo, Rui J.
dc.contributor.authorAlmeida, Rui M.P.
dc.contributor.authorCoimbra, M. D. C.
dc.contributor.authorFerreira, Jorge
dc.date.accessioned2020-03-03T09:56:52Z
dc.date.available2020-03-03T09:56:52Z
dc.date.issued2014
dc.description.abstractThe aim of this paper is to establish the existence, uniqueness and asymptotic behaviour of a strong regular solution for a class of nonlinear equations of reaction–diffusion nonlocal type with moving boundaries:where is a bounded non-cylindrical domain defined byMoreover, we study the properties of the solution and implement a numerical algorithm based on the Moving Finite Element Method (MFEM) with polynomial approximations of any degree, to solve this class of problems. Some numerical tests are investigated to evaluate the performance of our Matlab code based on the MFEM and illustrate the exponential decay of the solution.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.apm.2014.04.045pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/9668
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relationStrategic Project - UI 212 - 2011-2012
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectMoving boundarypt_PT
dc.subjectNonlocal diffusion termpt_PT
dc.subjectStrong solutionpt_PT
dc.subjectMoving finite elementspt_PT
dc.subjectSimulationpt_PT
dc.titleA reaction-diffusion model for a class of nonlinear parabolic equations with moving boundaries: Existence, uniqueness, exponential decay and simulationpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleStrategic Project - UI 212 - 2011-2012
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FMAT%2FUI0212%2F2011/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/COMPETE/PEst-C%2FEQB%2FLA0020%2F2013/PT
oaire.citation.endPage5622pt_PT
oaire.citation.issue23pt_PT
oaire.citation.startPage5609pt_PT
oaire.citation.titleApplied Mathematical Modellingpt_PT
oaire.citation.volume38pt_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStreamCOMPETE
person.familyNameAlmeida
person.familyNameCoimbra
person.givenNameRui
person.givenNameMaria do Carmo
person.identifier.ciencia-id0019-4741-59E6
person.identifier.ciencia-id051D-30BA-33DD
person.identifier.orcid0000-0003-3976-1571
person.identifier.orcid0000-0002-8358-6611
person.identifier.ridH-3861-2015
person.identifier.ridH-1294-2013
person.identifier.scopus-author-id56013962900
person.identifier.scopus-author-id7005408282
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.embargofctCopyright cedido à editora no momento da publicaçãopt_PT
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication3c6beb7a-3107-4567-a25e-5479b2d39a60
relation.isAuthorOfPublication916cf9c0-171c-4e59-be6e-aa7f2139f5c3
relation.isAuthorOfPublication.latestForDiscovery3c6beb7a-3107-4567-a25e-5479b2d39a60
relation.isProjectOfPublication0941c725-4ac9-4fb2-80a2-cffa922e27c7
relation.isProjectOfPublication679c873f-86d8-450f-af03-0c26458e65ff
relation.isProjectOfPublication.latestForDiscovery0941c725-4ac9-4fb2-80a2-cffa922e27c7

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
Almeida_2014_ AMM_A reaction- diffusion model for a class of nonlinear parabolic equations with moving boundaries.pdf
Size:
1.15 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

ICI - CMA | Documentos por Auto-Depósito
FC - DM | Documentos por Auto-Depósito