Burgers' Equation and Some Applications

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dc.contributor.advisorCorreia, Joaquim
dc.contributor.advisorda Costa, Fernando
dc.contributor.advisorSirisack, Sackmone
dc.contributor.authorCorreia, Joaquim
dc.contributor.authorda Costa, Fernando
dc.contributor.authorSirisack, Sackmone
dc.contributor.authorVongsavang, Khankham
dc.date.accessioned2020-01-24T11:51:05Z
dc.date.available2020-01-24T11:51:05Z
dc.date.issued2017-07-10
dc.date.submitted2017-05
dc.description.abstractIn 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.por
dc.identifier.authoremailjmcorreia@uevora.pt
dc.identifier.authoremailnd
dc.identifier.authoremailnd
dc.identifier.authoremailnd
dc.identifier.citation"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 Laospor
dc.identifier.doiN/Apor
dc.identifier.locationFaculty of Natural Sciences, National University of Laos, Vientiane, PDR Laos
dc.identifier.numpag54 pp.
dc.identifier.scientificarea334por
dc.identifier.tidN/Apor
dc.identifier.tipoTeseMaster Thesis
dc.identifier.universidadeNational University of Laos (NUOL)
dc.identifier.urihttp://hdl.handle.net/10174/26615
dc.language.isoengpor
dc.publisherEdited by Thepsavanh Kitignavong, Faculty of Natural Sciences, National University of Laospor
dc.rightsopenAccesspor
dc.subjectBurgers' equationpor
dc.subjectMethod of characteristicspor
dc.subjectCole-Hopf transformationpor
dc.subjectTraffic flowpor
dc.subjectCoagulation theorypor
dc.subjectLaplace transformpor
dc.titleBurgers' Equation and Some Applicationspor
dc.typemasterThesispor
thesis.degree.nameMaster Thesis in Applied Mathematicspor

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