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About a Vanishing Viscosity-Capillarity Method

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Resumo:We consider a class of nonlinear dissipative-dispersive perturbations of the scalar conservation law @tu + div f (u) = 01 and we study the convergence of the approximated solutions to its entropy solution. In particular, we obtain conditions under which the balance between dissipation and dispersion gives rise to the convergence (by DiPerna's measure-valued solution technique).
Autores principais:Correia, Joaquim M.C.
Assunto:Vanishing Viscosity-Capillarity Method dissipation-dispersion KdV equation Burgers’ equation
Ano:2017
País:Portugal
Tipo de documento:palestra
Tipo de acesso:acesso aberto
Instituição associada:Universidade de Évora
Idioma:inglês
Origem:Repositório Científico da Universidade de Évora
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author Correia, Joaquim M.C.
author_facet Correia, Joaquim M.C.
author_role author
country_str PT
creators_json_txt [{\"Person.name\":\"Correia, Joaquim M.C.\"}]
datacite.creators.creator.creatorName.fl_str_mv Correia, Joaquim M.C.
datacite.date.Accepted.fl_str_mv 2016-04-22T00:00:00Z
datacite.date.available.fl_str_mv 2017-01-30T12:21:27Z
datacite.date.embargoed.fl_str_mv 2017-01-30T12:21:27Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Vanishing Viscosity-Capillarity Method
dissipation-dispersion
KdV equation
Burgers’ equation
datacite.titles.title.fl_str_mv About a Vanishing Viscosity-Capillarity Method
dc.creator.none.fl_str_mv Correia, Joaquim M.C.
dc.date.Accepted.fl_str_mv 2016-04-22T00:00:00Z
dc.date.available.fl_str_mv 2017-01-30T12:21:27Z
dc.date.embargoed.fl_str_mv 2017-01-30T12:21:27Z
dc.description.none.fl_str_mv FCT, UID/MAT/04674/2013
dc.identifier.none.fl_str_mv http://hdl.handle.net/10174/20227
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv Mathematics & Statistics Seminars and Colloquia, University of Strathclyde, Glasgow, UK
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.subject.none.fl_str_mv Vanishing Viscosity-Capillarity Method
dissipation-dispersion
KdV equation
Burgers’ equation
dc.title.fl_str_mv About a Vanishing Viscosity-Capillarity Method
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_8544
description We consider a class of nonlinear dissipative-dispersive perturbations of the scalar conservation law @tu + div f (u) = 01 and we study the convergence of the approximated solutions to its entropy solution. In particular, we obtain conditions under which the balance between dissipation and dispersion gives rise to the convergence (by DiPerna's measure-valued solution technique).
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eu_rights_str_mv openAccess
format lecture
id uevora_38abf30eb1a04f927d5f0dc4a3bc7d3b
identifier.url.fl_str_mv http://hdl.handle.net/10174/20227
inst_facet_str urn:organizationAcronym:uevora{{{_:::_}}}Universidade de Évora
instacron_str uevora
institution Universidade de Évora
instname_str Universidade de Évora
language eng
network_acronym_str uevora
network_name_str Repositório Científico da Universidade de Évora
oai_identifier_str oai:dspace.uevora.pt:10174/20227
organization_str_mv urn:organizationAcronym:uevora
person_str_mv Correia, Joaquim M.C.
publishDate 2017
publisher.none.fl_str_mv Mathematics & Statistics Seminars and Colloquia, University of Strathclyde, Glasgow, UK
repo_facet_str urn:repositoryAcronym:uevora{{{_:::_}}}Repositório Científico da Universidade de Évora
reponame_str Repositório Científico da Universidade de Évora
repository_id_str urn:repositoryAcronym:uevora
service_str_mv urn:repositoryAcronym:uevora
spelling About a Vanishing Viscosity-Capillarity MethodCorreia, Joaquim M.C.Vanishing Viscosity-Capillarity Methoddissipation-dispersionKdV equationBurgers’ equationopen accesshttp://purl.org/coar/access_right/c_abf2http://hdl.handle.net/10174/20227HandleAbout a Vanishing Viscosity-Capillarity Method, Joaquim M.C. Correia, Applied Analysis Seminar, Department of Mathematics and Statistics, University of Strathclyde, April 22, 2016N/AHasVersionsimN/AHasVersionsimN/AHasVersionnaoN/AHasVersionjmcorreia@uevora.ptN/AHasVersion334N/AHasVersionN/AN/AHasVersionhttp://hdl.handle.net/10174/20227Handle2017-01-30T12:21:27Z 2016-04-222017-01-302016-04-22T00:00:00ZWe consider a class of nonlinear dissipative-dispersive perturbations of the scalar conservation law @tu + div f (u) = 01 and we study the convergence of the approximated solutions to its entropy solution. In particular, we obtain conditions under which the balance between dissipation and dispersion gives rise to the convergence (by DiPerna's measure-valued solution technique).FCT, UID/MAT/04674/2013Mathematics & Statistics Seminars and Colloquia, University of Strathclyde, Glasgow, UKenglecturehttp://purl.org/coar/resource_type/c_8544other research product
spellingShingle About a Vanishing Viscosity-Capillarity Method
Correia, Joaquim M.C.
Vanishing Viscosity-Capillarity Method
dissipation-dispersion
KdV equation
Burgers’ equation
status SINGLETON
subject.fl_str_mv Vanishing Viscosity-Capillarity Method
dissipation-dispersion
KdV equation
Burgers’ equation
title About a Vanishing Viscosity-Capillarity Method
title_full About a Vanishing Viscosity-Capillarity Method
title_fullStr About a Vanishing Viscosity-Capillarity Method
title_full_unstemmed About a Vanishing Viscosity-Capillarity Method
title_short About a Vanishing Viscosity-Capillarity Method
title_sort About a Vanishing Viscosity-Capillarity Method
topic Vanishing Viscosity-Capillarity Method
dissipation-dispersion
KdV equation
Burgers’ equation
topic_facet Vanishing Viscosity-Capillarity Method
dissipation-dispersion
KdV equation
Burgers’ equation
url http://hdl.handle.net/10174/20227
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