具有多條道路交匯的交通流模型的數(shù)學(xué)理論研究.pdf

1、上海交通大學(xué)碩士學(xué)位論文具有多條道路交匯的交通流模型的數(shù)學(xué)理論研究姓名：蘇星申請學(xué)位級別：碩士專業(yè)：數(shù)學(xué)指導(dǎo)教師：王亞光20071227上海交通大學(xué)碩士學(xué)位論文 iiA MATHEMATICAL STUDY ON A TRAFFIC FLOW MODEL WITH ROAD JUNCTION ABSTRACT This paper is concerned with the well-p

2、osedness of conservation laws derived from a traffic model at road junction with several incoming and outgoing roads. We shall mainly study the existence and uniqueness of entropy solution to the associated Riemann Probl

3、em. Traffic flow at the junction is underdetermined due to the uncertainty of traffic distribution on outgoing roads apriori, so inspired by previous works, we fix a ‘Distribution Matrix’ and Traffic Flow Maximization Cr

4、iteria across the junction. Under some reasonable assumptions of the ‘Distribution Matrix’, the Riemann Problem with piecewise constant initial data is proved to have a unique Riemann Solver; furthermore, using ‘Wave Fro

5、nt Tracking Method’ and properties of the ‘Generalized Characteristics’, we prove the existence of weak entropy solution to the Riemann Problem with arbitrary initial data of bounded Total Variation. KEY WORDS: traffic f