Nonlinearly perturbed hyperbolic conservation laws

Detalhes bibliográficos
Autor(a) principal: Correia, Joaquim
Data de Publicação: 2013
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/10330
Resumo: In this presentation we attempt to stress two points of view on hyperbolic conservation laws: modelization and analytical theory. And, how they are sensitively related. While appliers are concerned with reliability, integrity or failure of solutions, mathematcians are concerned with non uniqueness, selection of physically relevant solutions or entropy criteria. In the modeling process, within simplifications, some “spurious terms” are usually discarded from the equations and so, in order to address uniqueness, a crucial information is lost. We discuss here the relevant dissipative or dispersive effect of some of those small scale terms (zero singular limits).
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spelling Nonlinearly perturbed hyperbolic conservation lawsHyperbolic conservation lawshock waveentropy weak solutionmeasure-valued solutiondissipationdispersiondiffusioncapilllarityBurgers equationKdV-type equationIn this presentation we attempt to stress two points of view on hyperbolic conservation laws: modelization and analytical theory. And, how they are sensitively related. While appliers are concerned with reliability, integrity or failure of solutions, mathematcians are concerned with non uniqueness, selection of physically relevant solutions or entropy criteria. In the modeling process, within simplifications, some “spurious terms” are usually discarded from the equations and so, in order to address uniqueness, a crucial information is lost. We discuss here the relevant dissipative or dispersive effect of some of those small scale terms (zero singular limits).CVIM’2013 Universidade de Cabo Verde, April 22–25, 2013 [https://sites.google.com/site/cvim2013/home]2014-01-29T17:16:13Z2014-01-292013-04-23T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://hdl.handle.net/10174/10330http://hdl.handle.net/10174/10330engThe Cape Verde International Days on Mathematics 2013 (CVIM'2013), Praia, Cape Verde, April 22-25, 2013 [https://sites.google.com/site/cvim2013/scientific-program]https://sites.google.com/site/cvim2013/homesimnaonaojmcorreia@uevora.pt334Correia, Joaquiminfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T18:52:42Zoai:dspace.uevora.pt:10174/10330Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:04:04.314110Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Nonlinearly perturbed hyperbolic conservation laws
title Nonlinearly perturbed hyperbolic conservation laws
spellingShingle Nonlinearly perturbed hyperbolic conservation laws
Correia, Joaquim
Hyperbolic conservation law
shock wave
entropy weak solution
measure-valued solution
dissipation
dispersion
diffusion
capilllarity
Burgers equation
KdV-type equation
title_short Nonlinearly perturbed hyperbolic conservation laws
title_full Nonlinearly perturbed hyperbolic conservation laws
title_fullStr Nonlinearly perturbed hyperbolic conservation laws
title_full_unstemmed Nonlinearly perturbed hyperbolic conservation laws
title_sort Nonlinearly perturbed hyperbolic conservation laws
author Correia, Joaquim
author_facet Correia, Joaquim
author_role author
dc.contributor.author.fl_str_mv Correia, Joaquim
dc.subject.por.fl_str_mv Hyperbolic conservation law
shock wave
entropy weak solution
measure-valued solution
dissipation
dispersion
diffusion
capilllarity
Burgers equation
KdV-type equation
topic Hyperbolic conservation law
shock wave
entropy weak solution
measure-valued solution
dissipation
dispersion
diffusion
capilllarity
Burgers equation
KdV-type equation
description In this presentation we attempt to stress two points of view on hyperbolic conservation laws: modelization and analytical theory. And, how they are sensitively related. While appliers are concerned with reliability, integrity or failure of solutions, mathematcians are concerned with non uniqueness, selection of physically relevant solutions or entropy criteria. In the modeling process, within simplifications, some “spurious terms” are usually discarded from the equations and so, in order to address uniqueness, a crucial information is lost. We discuss here the relevant dissipative or dispersive effect of some of those small scale terms (zero singular limits).
publishDate 2013
dc.date.none.fl_str_mv 2013-04-23T00:00:00Z
2014-01-29T17:16:13Z
2014-01-29
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10174/10330
http://hdl.handle.net/10174/10330
url http://hdl.handle.net/10174/10330
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv The Cape Verde International Days on Mathematics 2013 (CVIM'2013), Praia, Cape Verde, April 22-25, 2013 [https://sites.google.com/site/cvim2013/scientific-program]
https://sites.google.com/site/cvim2013/home
sim
nao
nao
jmcorreia@uevora.pt
334
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv CVIM’2013 Universidade de Cabo Verde, April 22–25, 2013 [https://sites.google.com/site/cvim2013/home]
publisher.none.fl_str_mv CVIM’2013 Universidade de Cabo Verde, April 22–25, 2013 [https://sites.google.com/site/cvim2013/home]
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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