|
|||||
|
|
On the existence and the uniqueness of the solution of a fluid–structure interaction scattering problem |
|
| Authors: | Hélène Barucq Rabia Djellouli Elodie Estecahandy |
| Institution: | 1. INRIA Bordeaux Sud-Ouest Research Center, Project-Team Magique-3D, LMA – UMR CNRS 5142, Université de Pau et des Pays de l?Adour, Avenue de l?Université, BP 1155, 64013 Pau Cedex, France;2. Interdisciplinary Research Institute for the Sciences (IRIS) & Department of Mathematics, California State University, 18111 Nordhoff Street, Northridge, CA 91330, USA |
| Abstract: | The existence and uniqueness of the solution of a fluid–structure interaction problem is investigated. The proposed analysis distinguishes itself from previous studies by employing a weighted Sobolev space framework, the DtN operator properties, and the Fredholm theory. The proposed approach allows to extend the range of validity of the standard existence and uniqueness results to the case where the elastic scatterer is assumed to be only Lipschitz continuous, which is of more practical interest. |
| Keywords: | Fluid&ndash solid interaction Scattering problem Jones frequency Gå rding?s inequality Fredholm alternative Weighted Sobolev space |
| 本文献已被 ScienceDirect 等数据库收录！ | |