Exact controllability of wave equations on a circle
De-Xing Kong, Qing-You Sun
TL;DR
This paper proves the exact controllability of wave equations on a circle and a strip with various boundary conditions, expanding understanding of controllability in geometric settings.
Contribution
It establishes the exact controllability for wave equations on circular and strip domains with different boundary conditions, which was previously unproven.
Findings
Wave equations on a circle are exactly controllable.
Wave equations on a strip with Dirichlet or Neumann conditions are exactly controllable.
The results extend controllability theory to new geometric configurations.
Abstract
In this paper, we investigate the two-point boundary value problems for linear wave equation defined on a circle and prove that the equation possesses the exact controllability. We also investigate the two-point boundary value problems for the wave equation defined on a strip with Dirichlet or Neumann boundary conditions and show that the equation still possesses the exact controllability. see arXiv:0910.5782v1
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Taxonomy
TopicsStability and Controllability of Differential Equations · Advanced Mathematical Physics Problems · Advanced Mathematical Modeling in Engineering