Existence and Uniqueness of the Solution of a Traffic Flow Partial Differential Equation on Multi-Lane Freeways

Author

Sina Zareian, Claremont Graduate UniversityFollow

Date of Award

2025

Degree Type

Open Access Dissertation

Degree Name

Mathematics, PhD

Program

Institute of Mathematical Sciences

Advisor/Supervisor/Committee Chair

Henry Schellhorn

Dissertation or Thesis Committee Member

Ali Nadim

Dissertation or Thesis Committee Member

Allon Percus

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Rights Information

© 2025 Sina Zareian

Subject Categories

Mathematics

Abstract

In this dissertation, we shall prove the existence of a solution of the stochastic partial differential equation describing the density of cars on a multi-lane freeway using the operator splitting method. Furthermore, we shall prove the uniqueness of the solution of the stochastic differential equation which forms when we apply the operator splitting method to the traffic flow stochastic partial differential equation.

ISBN

9798315780847

Recommended Citation

Zareian, Sina. (2025). Existence and Uniqueness of the Solution of a Traffic Flow Partial Differential Equation on Multi-Lane Freeways. CGU Theses & Dissertations, 978. https://scholarship.claremont.edu/cgu_etd/978.