Global solutions for a hyperbolic-parabolic system of chemotaxis

We study a hyperbolic–parabolic model of chemotaxis related to tumor angiogenesis in dimensions one and two. We consider diffusions given by the fractional Laplacian and, in particular, we prove the global existence of classical solutions in certain dissipation regimes.

Detalles Bibliográficos
Autor: Granero Belinchón, Rafael|||0000-0003-2752-8086
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/30376
Acceso en línea:https://hdl.handle.net/10902/30376
Access Level:acceso abierto
Palabra clave:Hyperbolic–parabolic system
Global classical solutions
Chemotaxis
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spelling Global solutions for a hyperbolic-parabolic system of chemotaxisGranero Belinchón, Rafael|||0000-0003-2752-8086Hyperbolic–parabolic systemGlobal classical solutionsChemotaxisWe study a hyperbolic–parabolic model of chemotaxis related to tumor angiogenesis in dimensions one and two. We consider diffusions given by the fractional Laplacian and, in particular, we prove the global existence of classical solutions in certain dissipation regimes.The author is funded by the Labex MILYON and the Grant MTM2014-59488-P from the Ministerio de Economía y Competitividad (MINECO, Spain).Academic Press Inc.Universidad de Cantabria20172017-05-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttps://hdl.handle.net/10902/30376Journal of Mathematical Analysis and Applications, 2017, 449(1), 872-883reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/303762026-06-02T12:39:31Z
dc.title.none.fl_str_mv Global solutions for a hyperbolic-parabolic system of chemotaxis
title Global solutions for a hyperbolic-parabolic system of chemotaxis
spellingShingle Global solutions for a hyperbolic-parabolic system of chemotaxis
Granero Belinchón, Rafael|||0000-0003-2752-8086
Hyperbolic–parabolic system
Global classical solutions
Chemotaxis
title_short Global solutions for a hyperbolic-parabolic system of chemotaxis
title_full Global solutions for a hyperbolic-parabolic system of chemotaxis
title_fullStr Global solutions for a hyperbolic-parabolic system of chemotaxis
title_full_unstemmed Global solutions for a hyperbolic-parabolic system of chemotaxis
title_sort Global solutions for a hyperbolic-parabolic system of chemotaxis
dc.creator.none.fl_str_mv Granero Belinchón, Rafael|||0000-0003-2752-8086
author Granero Belinchón, Rafael|||0000-0003-2752-8086
author_facet Granero Belinchón, Rafael|||0000-0003-2752-8086
author_role author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Hyperbolic–parabolic system
Global classical solutions
Chemotaxis
topic Hyperbolic–parabolic system
Global classical solutions
Chemotaxis
description We study a hyperbolic–parabolic model of chemotaxis related to tumor angiogenesis in dimensions one and two. We consider diffusions given by the fractional Laplacian and, in particular, we prove the global existence of classical solutions in certain dissipation regimes.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-05-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10902/30376
url https://hdl.handle.net/10902/30376
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Academic Press Inc.
publisher.none.fl_str_mv Academic Press Inc.
dc.source.none.fl_str_mv Journal of Mathematical Analysis and Applications, 2017, 449(1), 872-883
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
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