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Burgers' Equation and Some Applications

Correia, Joaquim; da Costa, Fernando; Sirisack, Sackmone; Vongsavang, Khankham

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 inde...


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