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

Abstract

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.

Keywords

• Partial differential equations
• fluid-structure interaction
• semigroups wellposedness
• stabilization
• backward uniqueness.