TY - JOUR T1 - Long Time Behavior of Nonlinear Strain Waves in Elastic Waveguides JO - Journal of Partial Differential Equations VL - 4 SP - 301 EP - 312 PY - 1999 DA - 1999/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5543.html KW - Nonlinear strain waves KW - attractors AB - 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.