Long Time Behavior of Nonlinear Strain Waves in Elastic Waveguides

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Abstract

The initial-boundary value problem of the propagation of nonlinear longitudinal elastic waves in an initially strained rod is considered. The rod is assumed to interact with the surrouding elastic and viscous external medium. The long time behavior of solutions is derived ancl global attractors in E_1 space is obtained.
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Long Time Behavior of Nonlinear Strain Waves in Elastic Waveguides. (2020). Journal of Partial Differential Equations, 12(4), 301-312. https://www.global-sci.com/index.php/jpde/article/view/3920

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