Energy decay for variable coefficient viscoelastic wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary
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Date
2020-09-17
Authors
Hao, Jianghao
Lv, Mengxian
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study a variable coefficients viscoelastic wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary. By constructing suitable Lyapunov functionals and using the energy compensation method, we prove that under suitable conditions on the initial data and the relaxation function, the energy of the system has an explicit and general decay rate.
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Keywords
Variable coefficients, Viscoelastic wave equation, Acoustic boundary conditions, Nonlocally reacting boundary
Citation
Hao, J., & Lv, M. (2020). Energy decay for variable coefficient viscoelastic wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary. <i>Electronic Journal of Differential Equations, 2020</i>(95), pp. 1-13.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.