Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity
Analysis of PDEs
2019-02-19 v2
Abstract
We cope with a free boundary fluid-structure interaction model. In the model, the viscous incompressible fluid interacts with elastic body via the common boundary. The motion of the fluid is governed by Navier-Stokes equations while the displacement of elastic structure is described by variable coefficient wave equations. The dissipation is placed on the common boundary between fluid and elastic body. Given small initial data, the global existence of the solutions of this system is proved and the exponential decay of solutions are obtained.
Keywords
Cite
@article{arxiv.1802.00585,
title = {Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity},
author = {Yizhao Qin and Pengfei Yao},
journal= {arXiv preprint arXiv:1802.00585},
year = {2019}
}
Comments
to appear on Applicable Analysis. arXiv admin note: text overlap with arXiv:1802.00592