AN INVERSE MODEL PROBLEM IN KINETIC-THEORY

被引：10

作者：

BABOVSKY, H

机构：

[1] Weierstrass Inst. for Appl. Anal. and Stochastics, Berlin

来源：

INVERSE PROBLEMS | 1995年 / 11卷 / 03期

关键词：

D O I：

10.1088/0266-5611/11/3/005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with an inverse model problem in linear kinetic theory: the identification of a density profile of a scattering medium in a stab geometry from measurements of the reflected portion of a particle flux entering the medium. We prove well-posedness of the problem and present a robust algorithm for the identification.

引用

页码：555 / 570

页数：16

共 15 条

[1] CONCENTRATION PROFILES FROM LIDAR MEASUREMENTS IN THE PRESENCE OF MULTIPLE-SCATTERING - THE 2-STREAM APPROXIMATION [J].

AYOUBI, IS ;

NELSON, P .

APPLIED OPTICS, 1989, 28 (19) :4133-4140

[2] IDENTIFICATION OF SCATTERING MEDIA FROM REFLECTED FLOWS [J].

BABOVSKY, H .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1991, 51 (06) :1676-1704

[3]

Babovsky H., 1986, MATH METHOD APPL SCI, V8, P223, DOI [10.1002/mma.1670080114, DOI 10.1002/MMA.1670080114]

[4]

Billingsley P, 1968, CONVERGENCE PROBABIL

[5]

DRESSLER K, 1989, EUR J MECH B-FLUID, V8, P351

[6]

GREENBERG W, 1987, BOUNDARY VALUE PROBL

[7]

HADAMARD J, 1923, LECTURES CAUCHYS PRO

[8]

Leveque RJ, 1990, NUMERICAL METHODS CO

[9]

Ma~n~e R., 1987, ERGODIC THEORY DIFFE

[10]

McCormick N. J., 1986, Transport Theory and Statistical Physics, V15, P759, DOI 10.1080/00411458608212714

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