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Liu, Yu-Xiang; Liu, Honghui; Wang, Xin

Polynomial decay of a internal nonlinear damping structurally acoustic models with variable coefficients. (English) Zbl 1496.76122

J. Geom. Phys. 179, Article ID 104588, 11 p. (2022).
Summary: In this paper we derive an energy decay estimate of the wave equation with variable coefficients and acoustic boundary condition in a bounded domain under some certain conditions. Our system includes a nonlinear internal damping term, under some checkable conditions on the coefficients, the polynomial decay rate is obtained by the compactness-uniqueness theorem and the Riemannian geometry method.

MSC:

76Q05 Hydro- and aero-acoustics
35Q35 PDEs in connection with fluid mechanics

Keywords:

acoustic boundary condition; energy decay rate; compactess-uniqueness theorem; Riemannian geometry method
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References:

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