Acoustic wave motions stabilized by boundary memory damping

作者：Jiao, Zhe; Xiao, Ti-Jun^*

来源：Applied Mathematics Letters, 2016, 57: 82-89.

DOI：10.1016/j.aml.2015.12.014

• Wave equations
• Acoustic boundary conditions
• Boundary memory damping
• Semigroup method
• Strong stability

We consider the linear wave equation with acoustic boundary conditions (ABC) on a portion Gamma(1) of the boundary and Dirichlet conditions on the rest of the boundary. The ABC contain a damping term of memory type with respect to the normal displacement of the point of Gamma(1). Under some assumption on the memory kernel, we show that the associated operator matrix generates a strongly continuous semigroup of contractions on a Hilbert space, and the semigroup is strongly stable.

• 出版日期2016-7
• 单位复旦大学