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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/26615
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| Title: | Burgers' Equation and Some Applications |
| Authors: | Correia, Joaquim
da Costa, Fernando
Sirisack, Sackmone
Vongsavang, Khankham |
| Advisors: | Correia, Joaquim
da Costa, Fernando
Sirisack, Sackmone |
| Keywords: | Burgers' equation
Method of characteristics
Cole-Hopf transformation
Traffic flow
Coagulation theory
Laplace transform |
| Issue Date: | 10-Jul-2017 |
| Publisher: | Edited by Thepsavanh Kitignavong, Faculty of Natural Sciences, National University of Laos |
| 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 Laos |
| Abstract: | 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. |
| URI: | http://hdl.handle.net/10174/26615 |
| Type: | masterThesis |
| Appears in Collections: | CIMA - Formação Avançada - Teses de Mestrado
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CIMA - Formação Avançada - Teses de Mestrado /
