Nonlinear Hyperbolicity

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/10174/10300
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, mathematicians 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 Nonlinear Hyperbolicityhyperbolic 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, mathematicians 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).Universidade de Évora2014-01-29T16:12:43Z2014-01-292013-05-23T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://hdl.handle.net/10174/10300http://hdl.handle.net/10174/10300engMathematics of Planet Earth, Workshop Matemática e Física de Aerossóis, ECT, Universidade de Évora, May 23, 2013 http://www.cim.pt/?q=events/olderhttp://www.ect.uevora.pt/informacoes/eventos/(item)/7963http://www.spm.pt/arquivo/999http://agenda.universia.pt/uab/2013/05/22/workshop-matematica-e-fisica-de-aerossoishttp://www.cim.pt/?q=events/oldersimnaonaojmcorreia@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:RCAAP2024-01-03T18:51:45Zoai:dspace.uevora.pt:10174/10300Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:03:40.879452Repositório 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 Nonlinear Hyperbolicity
title Nonlinear Hyperbolicity
spellingShingle Nonlinear Hyperbolicity
Correia, Joaquim
hyperbolic conservation law
shock wave
entropy weak solution
measure-valued solution
dissipation
dispersion
diffusion
capilllarity
Burgers equation
KdV-type equation
title_short Nonlinear Hyperbolicity
title_full Nonlinear Hyperbolicity
title_fullStr Nonlinear Hyperbolicity
title_full_unstemmed Nonlinear Hyperbolicity
title_sort Nonlinear Hyperbolicity
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, mathematicians 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 2013-05-23T00:00:00Z
2014-01-29T16:12:43Z
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/10174/10300
http://hdl.handle.net/10174/10300
url http://hdl.handle.net/10174/10300
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Mathematics of Planet Earth, Workshop Matemática e Física de Aerossóis, ECT, Universidade de Évora, May 23, 2013 http://www.cim.pt/?q=events/older
http://www.ect.uevora.pt/informacoes/eventos/(item)/7963
http://www.spm.pt/arquivo/999
http://agenda.universia.pt/uab/2013/05/22/workshop-matematica-e-fisica-de-aerossois
http://www.cim.pt/?q=events/older
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 Universidade de Évora
publisher.none.fl_str_mv Universidade de Évora
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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