Optimal decay rates for the acoustic wave motions with boundary memory damping

Authors

  • Khalida Benomar
  • Abbes Benaissa Faculty of Sciences Exactes

DOI:

https://doi.org/10.24193/subbmath.2020.3.12

Keywords:

Wave equation, Acoustic boundary conditions, Boundary memory.

Abstract

A linear wave equation with acoustic boundary conditions (ABC) on a portion of
the boundary and Dirichlet conditions on the rest of the boundary is considered.
The (ABC) contain a memory damping with respect to the normal displacement of the boundary point. In this paper, we establish polynomial energy decay rates for the wave equation by using resolvent estimates.

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Published

2020-09-17

Issue

Section

Articles