Loss of hyperbolicity changes the number of wave groups in Riemann problems

Detalhes bibliográficos
Autor(a) principal: Vítor Matos
Data de Publicação: 2016
Outros Autores: Julio D. Silva, Dan Marchesin
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/83837
Resumo: Themain goal of ourwork is to showthat there exists a class of 2x2 Riemann problems for which the solution comprises a singlewave group for an open set of initial conditions. This wave group comprises a 1-rarefaction joined to a 2-rarefaction, not by an intermediate state, but by a doubly characteristic shock, 1-left and 2-right characteristic. In order to ensure that perturbations of initial conditions do not destroy the adjacency of the waves, local transversality between a composite curve foliation and a rarefaction curve foliation is necessary.
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spelling Loss of hyperbolicity changes the number of wave groups in Riemann problemsEquações diferenciais, MatemáticaDifferential equations, MathematicsThemain goal of ourwork is to showthat there exists a class of 2x2 Riemann problems for which the solution comprises a singlewave group for an open set of initial conditions. This wave group comprises a 1-rarefaction joined to a 2-rarefaction, not by an intermediate state, but by a doubly characteristic shock, 1-left and 2-right characteristic. In order to ensure that perturbations of initial conditions do not destroy the adjacency of the waves, local transversality between a composite curve foliation and a rarefaction curve foliation is necessary.2016-06-012016-06-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/83837eng1678-754410.1007/s00574-016-0168-4Vítor MatosJulio D. SilvaDan Marchesininfo: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:RCAAP2023-11-29T15:25:27Zoai:repositorio-aberto.up.pt:10216/83837Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:23:18.387206Repositório 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 Loss of hyperbolicity changes the number of wave groups in Riemann problems
title Loss of hyperbolicity changes the number of wave groups in Riemann problems
spellingShingle Loss of hyperbolicity changes the number of wave groups in Riemann problems
Vítor Matos
Equações diferenciais, Matemática
Differential equations, Mathematics
title_short Loss of hyperbolicity changes the number of wave groups in Riemann problems
title_full Loss of hyperbolicity changes the number of wave groups in Riemann problems
title_fullStr Loss of hyperbolicity changes the number of wave groups in Riemann problems
title_full_unstemmed Loss of hyperbolicity changes the number of wave groups in Riemann problems
title_sort Loss of hyperbolicity changes the number of wave groups in Riemann problems
author Vítor Matos
author_facet Vítor Matos
Julio D. Silva
Dan Marchesin
author_role author
author2 Julio D. Silva
Dan Marchesin
author2_role author
author
dc.contributor.author.fl_str_mv Vítor Matos
Julio D. Silva
Dan Marchesin
dc.subject.por.fl_str_mv Equações diferenciais, Matemática
Differential equations, Mathematics
topic Equações diferenciais, Matemática
Differential equations, Mathematics
description Themain goal of ourwork is to showthat there exists a class of 2x2 Riemann problems for which the solution comprises a singlewave group for an open set of initial conditions. This wave group comprises a 1-rarefaction joined to a 2-rarefaction, not by an intermediate state, but by a doubly characteristic shock, 1-left and 2-right characteristic. In order to ensure that perturbations of initial conditions do not destroy the adjacency of the waves, local transversality between a composite curve foliation and a rarefaction curve foliation is necessary.
publishDate 2016
dc.date.none.fl_str_mv 2016-06-01
2016-06-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10216/83837
url https://hdl.handle.net/10216/83837
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1678-7544
10.1007/s00574-016-0168-4
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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
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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
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