• inverse problem for structural acoustic interaction

    نویسندگان :
    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
    • تعداد بازدید: 352
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
    we consider an inverse problem of determining a source term for a structural acoustic partial differential equation (pde) model that is comprised of a two- or a three-dimensional interior acoustic wave equation coupled to an elastic plate equation. the coupling takes place across a boundary interface. for this pde system, we obtain uniqueness and stability estimates for the source term from a single measurement of boundary values of the “structure” (acceleration of the elastic plate). the proof of uniqueness is based on a carleman estimate (first version) of the wave problem within the chamber. the proof of stability relies on three main points: (i) a more refined carleman estimate (second version) and its resulting implication, a continuous observability-type estimate; (ii) a compactness/uniqueness argument; (iii) an operator theoretic approach for obtaining the needed regularity in terms of the initial conditions.

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