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Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena

Author(s): George Avalos | Roberto Triggiani

Journal: Boletim da Sociedade Paranaense de Matemática
ISSN 0037-8712

Volume: 25;
Issue: 1-2;
Start page: 17;
Date: 2007;
Original page

Keywords: Partial differential equations | fluid-structure interaction | semigroups wellposedness | stabilization | backward uniqueness.

In this paper, we review and comment upon recently derived results for time dependent partial differential equation (PDE) models, which have been used to describe the various fluid-structure interactions which occur in nature. For these fluid-structure PDEs, this survey is particularly focused on the authors' results of (i) semigroup wellposedness, (ii) stability, and (iii) backward uniqueness.
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