Interior Elastic Scattering by a Non-Penetrable Partially Coated Obstacle and Its Shape Recovering

نویسندگان

چکیده

In this paper, the interior elastic direct and inverse scattering problem of time-harmonic waves for a non-penetrable partially coated obstacle placed in homogeneous isotropic medium is studied. The formulated via Navier equation, considering incident circular due to point-source fields, where corresponding scattered data are measured on closed curve inside obstacle. Our model, from mathematical point view, described by mixed boundary value which field satisfies Dirichlet-Robin conditions Lipschitz Using variational equation method an appropriate Sobolev space setting, uniqueness existence results as well stability ones established. also studied, using some specific auxiliary integral operators modified factorisation given. addition, inversion algorithm shape recovering presented proved. Last but not least, useful remarks conclusions concerning its linchpin with one

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Riabouchinsky Flow with Partially Penetrable Obstacle

The investigation of hydrodynamic models with partially penetrable obstacles has been initiated by the recent progress in the development of free flow turbines [l] for the purpose of estimating their efficiency limit [2]. In the previous paper [3], an explicitly solvable analog of the Kirchhoff cavitation flow was obtained. As in the classical situation, the main deficiency of the Kirchhoff mod...

متن کامل

On the Scattering of Spherical Electromagnetic Waves by a Penetrable Chiral Obstacle

The problem of scattering of spherical electromagnetic waves by a bounded chiral obstacle is considered. General scattering theorems, relating the far–field patterns due to scattering of waves from a point source put in any two different locations (the reciprocity principle, the optical theorem, etc), and mixed scattering relations (relating the scattered fields due to a point source and a plan...

متن کامل

Scattering by Penetrable Acoustic Targets

An acoustic target of constant density pt and variable index of refraction is imbedded in a surrounding acoustic fluid of constant density pa. A time harmonic wave propagating in the surrounding fluid is incident on the target. We consider two limiting cases of the target where the parameter e = pa/p, + 0 (the nearly rigid target) or E + ~0 (the nearly soft target). When the frequency of the in...

متن کامل

Modified Kirchhoff Flow with a Partially Penetrable Obstacle and Its Application to the Efficiency of Free Flow Turbines

h explicitly solvable analog of the Kirchhoff flow for the case of a semipenetrable obstacle is considered. Its application to estimating the efficiency of free flow turbines is discussed. @ 2002 Elsevier Science Ltd. All rights reserved. Keywords-Cavitation flows, Kirchhoff method.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9192485