Date of Award
Doctor of Philosophy
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.
José de Jesús Martínez
Martínez, José de Jesús, "Modeling and controllability of a heat equation with a point mass" (2015). Graduate Theses and Dissertations. 14917.