On the reconstruction of parameters of a moving fluid from the Dirichlet-to-Neumann map

A. D. Agaltsov<sup>ab

a</sup> CMAP, Ecole Polytechnique
^b Moscow State University

Аннотация: We consider an inverse boundary value problem for a model time-harmonic equation of acoustic tomography of moving fluid with variable current velocity, sound speed, density and absorption. In the present article it is assumed that at fixed frequency the coefficients of this equation are already recovered modulo an appropriate gauge transformation using some reconstruction method from boundary measurements presented in the literature. Our main result consists in formulas and equations that allow to get rid of this gauge non-uniqueness and recover the fluid parameters using boundary measurements at several frequencies.

Ключевые слова: acoustic tomography of moving fluid, magnetic Schroedinger operators, inverse boundary value problems.

MSC: 35R30, 35Q35

Поступила в редакцию: 19.12.2015
Принята в печать: 12.01.2016

Язык публикации: английский