Compensated compactness for a hyperbolic system of balance laws with three equations

We consider the problem studied by Lu et. al. in [Proc. Am. Math. Soc. 131, 3511 (2003)] to which we add a source term. This is a system of three balance laws. We use standard techniques, such as viscous approximations and compensated compactness, to prove the existence of solutions.

Autores:
Klingenberg, Christian
Montero, Julio
Rendón, Leonardo
Tipo de recurso:
Article of journal
Fecha de publicación:
2013
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73831
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73831
http://bdigital.unal.edu.co/38308/
Palabra clave:
compensated compactness
conservations laws.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Klingenberg, Christian0a2f2d2a-c5fb-41ae-b7eb-fb2918fc009c300Montero, Juliod1e6e04f-b246-41e2-b1b2-8c4e0fb620a6300Rendón, Leonardoc4e49803-d28a-4b62-a8b3-a30db7bf2dd83002019-07-03T16:54:17Z2019-07-03T16:54:17Z2013https://repositorio.unal.edu.co/handle/unal/73831http://bdigital.unal.edu.co/38308/We consider the problem studied by Lu et. al. in [Proc. Am. Math. Soc. 131, 3511 (2003)] to which we add a source term. This is a system of three balance laws. We use standard techniques, such as viscous approximations and compensated compactness, to prove the existence of solutions.application/pdfspaBoletín de Matemáticashttp://revistas.unal.edu.co/index.php/bolma/article/view/40888Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasBoletín de Matemáticas; Vol. 20, núm. 1 (2013); 13-20 Boletín de Matemáticas; Vol. 20, núm. 1 (2013); 13-20 2357-6529 0120-0380Klingenberg, Christian and Montero, Julio and Rendón, Leonardo (2013) Compensated compactness for a hyperbolic system of balance laws with three equations. Boletín de Matemáticas; Vol. 20, núm. 1 (2013); 13-20 Boletín de Matemáticas; Vol. 20, núm. 1 (2013); 13-20 2357-6529 0120-0380 .Compensated compactness for a hyperbolic system of balance laws with three equationsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTcompensated compactnessconservations laws.ORIGINAL40888-184157-1-PB.pdfapplication/pdf72901https://repositorio.unal.edu.co/bitstream/unal/73831/1/40888-184157-1-PB.pdf482a3549104397191c0e113a0831209fMD51THUMBNAIL40888-184157-1-PB.pdf.jpg40888-184157-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4511https://repositorio.unal.edu.co/bitstream/unal/73831/2/40888-184157-1-PB.pdf.jpg72663d8bc0b148508b08a0acc187519aMD52unal/73831oai:repositorio.unal.edu.co:unal/738312024-06-26 23:10:43.637Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Compensated compactness for a hyperbolic system of balance laws with three equations
title Compensated compactness for a hyperbolic system of balance laws with three equations
spellingShingle Compensated compactness for a hyperbolic system of balance laws with three equations
compensated compactness
conservations laws.
title_short Compensated compactness for a hyperbolic system of balance laws with three equations
title_full Compensated compactness for a hyperbolic system of balance laws with three equations
title_fullStr Compensated compactness for a hyperbolic system of balance laws with three equations
title_full_unstemmed Compensated compactness for a hyperbolic system of balance laws with three equations
title_sort Compensated compactness for a hyperbolic system of balance laws with three equations
dc.creator.fl_str_mv Klingenberg, Christian
Montero, Julio
Rendón, Leonardo
dc.contributor.author.spa.fl_str_mv Klingenberg, Christian
Montero, Julio
Rendón, Leonardo
dc.subject.proposal.spa.fl_str_mv compensated compactness
conservations laws.
topic compensated compactness
conservations laws.
description We consider the problem studied by Lu et. al. in [Proc. Am. Math. Soc. 131, 3511 (2003)] to which we add a source term. This is a system of three balance laws. We use standard techniques, such as viscous approximations and compensated compactness, to prove the existence of solutions.
publishDate 2013
dc.date.issued.spa.fl_str_mv 2013
dc.date.accessioned.spa.fl_str_mv 2019-07-03T16:54:17Z
dc.date.available.spa.fl_str_mv 2019-07-03T16:54:17Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/73831
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/38308/
url https://repositorio.unal.edu.co/handle/unal/73831
http://bdigital.unal.edu.co/38308/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/bolma/article/view/40888
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Boletín de Matemáticas; Vol. 20, núm. 1 (2013); 13-20 Boletín de Matemáticas; Vol. 20, núm. 1 (2013); 13-20 2357-6529 0120-0380
dc.relation.references.spa.fl_str_mv Klingenberg, Christian and Montero, Julio and Rendón, Leonardo (2013) Compensated compactness for a hyperbolic system of balance laws with three equations. Boletín de Matemáticas; Vol. 20, núm. 1 (2013); 13-20 Boletín de Matemáticas; Vol. 20, núm. 1 (2013); 13-20 2357-6529 0120-0380 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
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dc.publisher.spa.fl_str_mv Boletín de Matemáticas
institution Universidad Nacional de Colombia
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