3 documents found, page 1 of 1
Traffic Modelling and Some Inequalities in Banach Spaces
Bedjaoui, Nabil; Correia, Joaquim; Sirisack, Sackmone; Doungsavanh, BouasyModelling traffic flow has been around since the appearance of traffic jams. Ideally, if we can correctly predict the behavior of vehicle flow given an initial set of data, then adjusting the flow in crucial areas can maximize the overall throughput of traffic along a stretch of road. We consider a mathematical model for traffic flow on single land and without exits or entries. So, we are just observing what ha...
Burgers' Equation and Some Applications
Correia, Joaquim; da Costa, Fernando; Sirisack, Sackmone; Vongsavang, KhankhamIn 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...
SEAMS SCHOOL FINAL REPORT
Mammeri, Youcef; Correia, Joaquim M.C.; Sirisack, SackmoneIn this school, we introduced the basis of the mathematical analysis to study differential equations (ordinary and partial). One aim to prepare students and staff members for more concrete problems arising in mathematical modeling in engineering and biological processes. Theoretical and numerical lectures were given, with a presentation of free scientific computing software using Python. A website and a drive w...