Backward Uniqueness for a PDE Fluid-Structure Interaction
Analysis of PDEs
2016-11-18 v1
Abstract
In this work, we establish the so-called backward uniqiueness property for a coupled system of partial differential equations (PDEs) which governs a certain fluid-structure interaction. In particular, a three-dimensional Stokes flow interacts across a boundary interface with a two-dimensional mechanical plate equation. By way of attaining this result, a certain estimate is obtained for the associated semigroup generator resolvent.
Cite
@article{arxiv.1408.0240,
title = {Backward Uniqueness for a PDE Fluid-Structure Interaction},
author = {George Avalos and Thomas J. Clark},
journal= {arXiv preprint arXiv:1408.0240},
year = {2016}
}