Inverse Problem for a Structural Acoustic Interaction

Details Inverse Problem for a Structural Acoustic Interaction Inverse Problem for a Structural Acoustic Interaction

2010-10-13

arxiv.org/abs/1010.2695v1

Mathematics

Analysis of PDEs

Scientific paper

In this work, we consider an inverse problem of determining a source term for a structural acoustic partial differentia equation (PDE) model, comprised of a two or three-dimensional interior acoustic wave equation coupled to a Kirchoff plate equation, with the coupling being accomplished across a boundary interface. For this PDE system, we obtain the uniqueness and stability estimate for the source term from a single measurement of boundary values of the "structure". The proof of uniqueness is based on Carleman estimate. Then, by means of an observability inequality and a compactness/uniqueness argument, we can get the stability result. Finally, an operator theoretic approach gives us the regularity needed for the initial conditions in order to get the desired stability estimate.

Affiliated with

Also associated with

No associations

Rating

Inverse Problem for a Structural Acoustic Interaction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Inverse Problem for a Structural Acoustic Interaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inverse Problem for a Structural Acoustic Interaction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-226944