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Title: Riemann–Hilbert problem approach for two-dimensional flow inverse scattering

We consider inverse scattering for the time-harmonic wave equation with first-order perturbation in two dimensions. This problem arises in particular in the acoustic tomography of moving fluid. We consider linearized and nonlinearized reconstruction algorithms for this problem of inverse scattering. Our nonlinearized reconstruction algorithm is based on the non-local Riemann–Hilbert problem approach. Comparisons with preceding results are given.
Authors:
 [1] ;  [2] ;  [3] ;  [3]
  1. Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, 119991 Moscow (Russian Federation)
  2. CNRS (UMR 7641), Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau (France)
  3. (Russian Federation)
Publication Date:
OSTI Identifier:
22305863
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 10; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; DISTURBANCES; INVERSE SCATTERING PROBLEM; PERTURBATION THEORY; TOMOGRAPHY; TWO-DIMENSIONAL CALCULATIONS; WAVE EQUATIONS