Internal feedback stabilization of multi-dimensional wave equations with a boundary delay: a numerical study

Kaïs Ammari, Boumediène Chentouf, Nejib Smaoui*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we consider two internal stabilization problems for the multi-dimensional wave equation with a boundary time-delay. We prove that the first problem is well-posed in an appropriate functional space. Subsequently, we numerically study the exponential stability in a two-dimensional case under Geometric Control Condition (GCC) derived by Lebeau. In addition, we provide a numerical investigation of the second wave system, which corresponds to the two-dimensional variant of the system studied by Datko et al.

Original languageEnglish
Article number8
JournalBoundary Value Problems
Volume2022
Issue number1
DOIs
Publication statusPublished - Dec 2022
Externally publishedYes

Keywords

  • Boundary delay
  • Internal stabilization
  • Wave equations

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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