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- W2522078685 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 2 and density of 1/2 . 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." @default.
- W2522078685 created "2016-09-30" @default.
- W2522078685 creator A5037726266 @default.
- W2522078685 date "2018-08-10" @default.
- W2522078685 modified "2023-10-02" @default.
- W2522078685 title "Modeling and controllability of a heat equation with a point mass" @default.
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- W2522078685 doi "https://doi.org/10.31274/etd-180810-4525" @default.
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