Analysis and numerical simulation of a parabolic equation with non-local terms
Descripción del Articulo
In this work, we investigate the existence and uniqueness of global strong solutions, as well as the exponential decay of these solutions in bounded domains, for an initial-boundary value problem associated with parabolic equations involving nonlocal terms. The theoretical results are compl...
| Autores: | , , , |
|---|---|
| Formato: | artículo |
| Fecha de Publicación: | 2025 |
| Institución: | Universidad Nacional de Trujillo |
| Repositorio: | Revistas - Universidad Nacional de Trujillo |
| Lenguaje: | inglés |
| OAI Identifier: | oai:ojs.revistas.unitru.edu.pe:article/7083 |
| Enlace del recurso: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/7083 |
| Nivel de acceso: | acceso abierto |
| Materia: | Parabolic equations Nonlocal nonlinearities Well-posedness Energy decay Numerical Simulation |
| id |
REVUNITRU_a5feecdaf81bf2e4cff6329d09212c9e |
|---|---|
| oai_identifier_str |
oai:ojs.revistas.unitru.edu.pe:article/7083 |
| network_acronym_str |
REVUNITRU |
| network_name_str |
Revistas - Universidad Nacional de Trujillo |
| repository_id_str |
|
| spelling |
Analysis and numerical simulation of a parabolic equation with non-local termsLímaco, Juan Pablode Carvalho, Pitagoras P.Rincon, Mauro A.Ferrel, Juan L.Parabolic equationsNonlocal nonlinearitiesWell-posednessEnergy decayNumerical SimulationParabolic equationsNonlocal nonlinearitiesWell-posednessEnergy decayNumerical SimulationIn this work, we investigate the existence and uniqueness of global strong solutions, as well as the exponential decay of these solutions in bounded domains, for an initial-boundary value problem associated with parabolic equations involving nonlocal terms. The theoretical results are complemented by numerical simulations obtained using the finite element method for the spatial variable and the finite difference method for the temporal variable.In this work, we investigate the existence and uniqueness of global strong solutions, as well as the exponential decay of these solutions in bounded domains, for an initial-boundary value problem associated with parabolic equations involving nonlocal terms. The theoretical results are complemented by numerical simulations obtained using the finite element method for the spatial variable and the finite difference method for the temporal variable.National University of Trujillo - Academic Department of Mathematics2025-12-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/7083Selecciones Matemáticas; Vol. 12 No. 02 (2025): August - December; 273 - 287Selecciones Matemáticas; Vol. 12 Núm. 02 (2025): Agosto - Diciembre; 273 - 287Selecciones Matemáticas; v. 12 n. 02 (2025): Agosto - Dezembro; 273 - 2872411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUenghttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/7083/7105https://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/70832025-12-27T01:09:48Z |
| dc.title.none.fl_str_mv |
Analysis and numerical simulation of a parabolic equation with non-local terms |
| title |
Analysis and numerical simulation of a parabolic equation with non-local terms |
| spellingShingle |
Analysis and numerical simulation of a parabolic equation with non-local terms Límaco, Juan Pablo Parabolic equations Nonlocal nonlinearities Well-posedness Energy decay Numerical Simulation Parabolic equations Nonlocal nonlinearities Well-posedness Energy decay Numerical Simulation |
| title_short |
Analysis and numerical simulation of a parabolic equation with non-local terms |
| title_full |
Analysis and numerical simulation of a parabolic equation with non-local terms |
| title_fullStr |
Analysis and numerical simulation of a parabolic equation with non-local terms |
| title_full_unstemmed |
Analysis and numerical simulation of a parabolic equation with non-local terms |
| title_sort |
Analysis and numerical simulation of a parabolic equation with non-local terms |
| dc.creator.none.fl_str_mv |
Límaco, Juan Pablo de Carvalho, Pitagoras P. Rincon, Mauro A. Ferrel, Juan L. |
| author |
Límaco, Juan Pablo |
| author_facet |
Límaco, Juan Pablo de Carvalho, Pitagoras P. Rincon, Mauro A. Ferrel, Juan L. |
| author_role |
author |
| author2 |
de Carvalho, Pitagoras P. Rincon, Mauro A. Ferrel, Juan L. |
| author2_role |
author author author |
| dc.subject.none.fl_str_mv |
Parabolic equations Nonlocal nonlinearities Well-posedness Energy decay Numerical Simulation Parabolic equations Nonlocal nonlinearities Well-posedness Energy decay Numerical Simulation |
| topic |
Parabolic equations Nonlocal nonlinearities Well-posedness Energy decay Numerical Simulation Parabolic equations Nonlocal nonlinearities Well-posedness Energy decay Numerical Simulation |
| description |
In this work, we investigate the existence and uniqueness of global strong solutions, as well as the exponential decay of these solutions in bounded domains, for an initial-boundary value problem associated with parabolic equations involving nonlocal terms. The theoretical results are complemented by numerical simulations obtained using the finite element method for the spatial variable and the finite difference method for the temporal variable. |
| publishDate |
2025 |
| dc.date.none.fl_str_mv |
2025-12-27 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/7083 |
| url |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/7083 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/7083/7105 |
| dc.rights.none.fl_str_mv |
https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
https://creativecommons.org/licenses/by/4.0 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| dc.source.none.fl_str_mv |
Selecciones Matemáticas; Vol. 12 No. 02 (2025): August - December; 273 - 287 Selecciones Matemáticas; Vol. 12 Núm. 02 (2025): Agosto - Diciembre; 273 - 287 Selecciones Matemáticas; v. 12 n. 02 (2025): Agosto - Dezembro; 273 - 287 2411-1783 reponame:Revistas - Universidad Nacional de Trujillo instname:Universidad Nacional de Trujillo instacron:UNITRU |
| instname_str |
Universidad Nacional de Trujillo |
| instacron_str |
UNITRU |
| institution |
UNITRU |
| reponame_str |
Revistas - Universidad Nacional de Trujillo |
| collection |
Revistas - Universidad Nacional de Trujillo |
| repository.name.fl_str_mv |
|
| repository.mail.fl_str_mv |
|
| _version_ |
1852864028007727104 |
| score |
13.985067 |
Nota importante:
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
