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.

Copyright Owner

José de Jesús Martínez

Language

en

File Format

application/pdf

File Size

94 pages

Share

COinS