Riemann-Hilbert problem approach for two-dimensional flow inverse scattering

被引：18

作者：

Agaltsov, A. D. ^{[1
]}

Novikov, R. G. ^{[2
,3
,4
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119991, Russia

[2] Ecole Polytech, Ctr Math Appl, CNRS, UMR 7641, F-91128 Palaiseau, France

[3] IEPT RAS, Moscow 117997, Russia

[4] Moscow Inst Phys & Technol, Dolgoprudnyi, Russia

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2014年 / 55卷 / 10期

关键词：

DEPENDENT SCHRODINGER-EQUATION; FIXED-ENERGY; POTENTIALS; TRANSFORM;

D O I：

10.1063/1.4896741

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 2014 AIP Publishing LLC.

引用

页码：1 / 25

页数：25

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