Degree Type

Dissertation

Date of Award

2015

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Scott Hansen

Abstract

In this thesis, we propose a linear hybrid system describing heat flow on a medium composed by two rods connected by a point mass. We show that such a system can be obtained from a system describing heat flow of two rods connected by a thin wall of width 2є and density of 1/2є. By passing to a weak limit, we obtain the desired system.

We then show that the limiting system is null controllable with Dirichlet boundary control when the system's parameters satisfy a certain condition. Lastly, we consider simple parameters to show that the point mass system is null controllable with either Dirichlet or Neumann boundary control at one end.

DOI

https://doi.org/10.31274/etd-180810-4525

Copyright Owner

José de Jesús Martínez

Language

en

File Format

application/pdf

File Size

94 pages

Share

COinS