Burgers' Equation and Some Applications

Detalhes bibliográficos
Autor(a) principal: Correia, Joaquim
Data de Publicação: 2017
Outros Autores: da Costa, Fernando, Sirisack, Sackmone, Vongsavang, Khankham
Tipo de documento: Dissertação
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/26615
Resumo: In this thesis, I present Burgers' equation and some of its applications. I consider the inviscid and the viscid Burgers' equations and present different analytical methods for their study: the Method of Characteristics for the inviscid case, and the Cole-Hopf Transformation for theviscid one. Two applications of Burgers' equations are given: one in simple models of Traffic Flow (which have been introduced independently by Lighthill-Whitham and Richards) and another in Coagulation theory (in which we use Laplace Transform to obtain Burgers' equations from the original coagulation integro-differential equation). In both applications we consider only analytical methods.
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spelling Burgers' Equation and Some ApplicationsBurgers' equationMethod of characteristicsCole-Hopf transformationTraffic flowCoagulation theoryLaplace transformIn this thesis, I present Burgers' equation and some of its applications. I consider the inviscid and the viscid Burgers' equations and present different analytical methods for their study: the Method of Characteristics for the inviscid case, and the Cole-Hopf Transformation for theviscid one. Two applications of Burgers' equations are given: one in simple models of Traffic Flow (which have been introduced independently by Lighthill-Whitham and Richards) and another in Coagulation theory (in which we use Laplace Transform to obtain Burgers' equations from the original coagulation integro-differential equation). In both applications we consider only analytical methods.Edited by Thepsavanh Kitignavong, Faculty of Natural Sciences, National University of Laos2020-01-24T11:51:05Z2020-01-242017-07-10T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesishttp://hdl.handle.net/10174/26615http://hdl.handle.net/10174/26615eng"Burgers' Equation and Some Applications", Master Thesis in Applied Mathematics, Khankham Vongsavang, Dissertation Period: September 2016 to May 2017, Defence on July 2017, Supervised by J.M.C. Correia, F. da Costa and S. Sirisack, Diploma on July 26, 2017, at FNS, National University of Laos, Vientiane, PDR LaosFaculty of Natural Sciences, National University of Laos, Vientiane, PDR Laos54 pp.National University of Laos (NUOL)Master Thesisjmcorreia@uevora.ptndndnd334N/AN/ACorreia, Joaquimda Costa, FernandoSirisack, SackmoneVongsavang, Khankhaminfo: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:RCAAP2024-01-03T19:21:14Zoai:dspace.uevora.pt:10174/26615Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:16:46.090793Repositório 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 Burgers' Equation and Some Applications
title Burgers' Equation and Some Applications
spellingShingle Burgers' Equation and Some Applications
Correia, Joaquim
Burgers' equation
Method of characteristics
Cole-Hopf transformation
Traffic flow
Coagulation theory
Laplace transform
title_short Burgers' Equation and Some Applications
title_full Burgers' Equation and Some Applications
title_fullStr Burgers' Equation and Some Applications
title_full_unstemmed Burgers' Equation and Some Applications
title_sort Burgers' Equation and Some Applications
author Correia, Joaquim
author_facet Correia, Joaquim
da Costa, Fernando
Sirisack, Sackmone
Vongsavang, Khankham
author_role author
author2 da Costa, Fernando
Sirisack, Sackmone
Vongsavang, Khankham
author2_role author
author
author
dc.contributor.author.fl_str_mv Correia, Joaquim
da Costa, Fernando
Sirisack, Sackmone
Vongsavang, Khankham
dc.subject.por.fl_str_mv Burgers' equation
Method of characteristics
Cole-Hopf transformation
Traffic flow
Coagulation theory
Laplace transform
topic Burgers' equation
Method of characteristics
Cole-Hopf transformation
Traffic flow
Coagulation theory
Laplace transform
description In this thesis, I present Burgers' equation and some of its applications. I consider the inviscid and the viscid Burgers' equations and present different analytical methods for their study: the Method of Characteristics for the inviscid case, and the Cole-Hopf Transformation for theviscid one. Two applications of Burgers' equations are given: one in simple models of Traffic Flow (which have been introduced independently by Lighthill-Whitham and Richards) and another in Coagulation theory (in which we use Laplace Transform to obtain Burgers' equations from the original coagulation integro-differential equation). In both applications we consider only analytical methods.
publishDate 2017
dc.date.none.fl_str_mv 2017-07-10T00:00:00Z
2020-01-24T11:51:05Z
2020-01-24
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10174/26615
http://hdl.handle.net/10174/26615
url http://hdl.handle.net/10174/26615
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Burgers' Equation and Some Applications", Master Thesis in Applied Mathematics, Khankham Vongsavang, Dissertation Period: September 2016 to May 2017, Defence on July 2017, Supervised by J.M.C. Correia, F. da Costa and S. Sirisack, Diploma on July 26, 2017, at FNS, National University of Laos, Vientiane, PDR Laos
Faculty of Natural Sciences, National University of Laos, Vientiane, PDR Laos
54 pp.
National University of Laos (NUOL)
Master Thesis
jmcorreia@uevora.pt
nd
nd
nd
334
N/A
N/A
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Edited by Thepsavanh Kitignavong, Faculty of Natural Sciences, National University of Laos
publisher.none.fl_str_mv Edited by Thepsavanh Kitignavong, Faculty of Natural Sciences, National University of Laos
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
_version_ 1799136649728229376

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