Dissipative structure and diffusion phenomena for doubly dissipative elastic waves in two space dimensions
Analysis of PDEs
2020-03-24 v1
Abstract
In this paper we study the Cauchy problem for doubly dissipative elastic waves in two space dimensions, where the damping terms consist of two different friction or structural damping. We derive energy estimates and diffusion phenomena with different assumptions on initial data. Particularly, we find the dominant influence on diffusion phenomena by introducing a new threshold of diffusion structure.
Cite
@article{arxiv.1905.00257,
title = {Dissipative structure and diffusion phenomena for doubly dissipative elastic waves in two space dimensions},
author = {Wenhui Chen},
journal= {arXiv preprint arXiv:1905.00257},
year = {2020}
}
Comments
14 pages