Back to results
Claremont Graduate University
Existence and Uniqueness of the Solution of a Traffic Flow Partial Differential Equation on Multi-Lane Freeways
Abstract
dc:description.abstract<p>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.</p>
Degree
thesis:*- Name thesis:degree_name
- Mathematics, PhD
- Level thesis:degree_level
- Open Access Dissertation
- Discipline thesis:degree_discipline
- Institute of Mathematical Sciences
- Year dc:date.available
- 2025
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Zareian, Sina
- Contributors dc:contributor
-
- Ali Nadim
- Allon Percus
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Repository record dc:identifier
- https://scholarship.claremont.edu/cgu_etd/978
- OAI identifier oai:identifier
- oai:scholarship.claremont.edu:cgu_etd-2000