Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899612 | Journal of Mathematical Analysis and Applications | 2018 | 23 Pages |
Abstract
We study the long time behavior of arches and membrane-like structures in the strong damping case. Our main goal is to incorporate moving points load, and to establish the existence of a non-empty, compact, uniform attractor for the associated semi-flows. The existence of such an attractor is established for almost periodic forcing terms. The method employs Kuratowski's measure of non-compactness. The presentation is mostly self-contained. Examples simulating a vehicular traffic across a long bridge are considered.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Semion Gutman, Junhong Ha,