Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena - doi: 10.5269/bspm.v25i1-2.7422

George Avalos; Roberto Triggiani

doi:10.5269/bspm.v25i1-2.7422

Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena - doi: 10.5269/bspm.v25i1-2.7422

Authors

George Avalos University of Nebraska-Lincoln
Roberto Triggiani University of Virginia

DOI:

https://doi.org/10.5269/bspm.v25i1-2.7422

Keywords:

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

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.