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arXiv · 1408.0240

Backward Uniqueness for a PDE Fluid-Structure Interaction

George Avalos·Thomas J. Clark
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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.

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George Avalos, Thomas J. Clark. 2014-08-01. Backward Uniqueness for a PDE Fluid-Structure Interaction. https://arxiv.org/abs/1408.0240

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