Exact Controllability of Structural Acoustic Interactions with Variable Coefficients Academic Article uri icon

abstract

  • © 2016 Society for Industrial and Applied Mathematics. This paper studies exact controllability prope rties of two coupled wave equations with variable coefficients by a Riemannian geometrical approach. One of the PDEs holds on the interior of a bounded open domain Ω in ℝm and the other on a piece Γ0 of the boundary ∂Ω. First, an exact controllability result is established by assuming the existence of an escape vector field with two boundary controls, the first of which is a Neumann control and the second a distributed control for the boundary equation. Moreover, a geometric structure between the boundary and the variable coefficient principal part is considered in order to implement one control on the boundary segment Γ0 only. Concrete examples are given for such geometrical configurations.

author list (cited authors)

  • Liu, Y., Bin-Mohsin, B., Hajaiej, H., Yao, P., & Chen, G.

citation count

  • 5

publication date

  • January 2016