The radiative transfer equations: Existence of solutions and diffusion approximation under accretivity assumptions — A survey

Transport Theory and Statistical Physics ◽

10.1080/00411458708204308 ◽

1987 ◽

Vol 16 (4-6) ◽

pp. 637-652 ◽

Author(s):

C. Bardos ◽

F. Golse ◽

B. Perthame

Keyword(s):

Radiative Transfer ◽

Diffusion Approximation ◽

Existence Of Solutions ◽

Transfer Equations ◽

Radiative Transfer Equations ◽

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The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation

Journal of Functional Analysis ◽

10.1016/0022-1236(88)90096-1 ◽

1988 ◽

Vol 77 (2) ◽

pp. 434-460 ◽

Author(s):

C Bardos ◽

F Golse ◽

B Perthame ◽

R Sentis

Keyword(s):

Radiative Transfer ◽

Existence Of Solutions ◽

Transfer Equations ◽

Radiative Transfer Equations ◽

Rosseland Approximation

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The radiative transfer equations: diffusion approximation under accretiveness and compactness assumptions

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(01)00198-5 ◽

2001 ◽

Vol 42 (6-7) ◽

pp. 783-791 ◽

Author(s):

C. Dogbe

Keyword(s):

Radiative Transfer ◽

Diffusion Approximation ◽

Transfer Equations ◽

Radiative Transfer Equations

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DIFFUSION APPROXIMATION OF RADIATIVE TRANSFER EQUATIONS IN A CHANNEL

Transport Theory and Statistical Physics ◽

10.1081/tt-100105370 ◽

2001 ◽

Vol 30 (2-3) ◽

pp. 269-293 ◽

Author(s):

Guillaume Bal

Keyword(s):

Radiative Transfer ◽

Diffusion Approximation ◽

Transfer Equations ◽

Radiative Transfer Equations

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A coupled radiative transfer and diffusion approximation model for the solution of the forward problem and the a-priori fluorophore distribution estimation in fluorescence imaging

10.1117/12.808116 ◽

2009 ◽

Author(s):

D. Gorpas ◽

D. Yova ◽

K. Politopoulos

Keyword(s):

Radiative Transfer ◽

Fluorescence Imaging ◽

Diffusion Approximation ◽

A Priori ◽

Forward Problem ◽

Approximation Model ◽

Distribution Estimation ◽

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An improved unified gas kinetic particle method for radiative transfer equations

Journal of Quantitative Spectroscopy and Radiative Transfer ◽

10.1016/j.jqsrt.2020.107428 ◽

2020 ◽

pp. 107428

Author(s):

Yi Shi ◽

Wenjun Sun ◽

Lingxiao Li ◽

Peng Song

Keyword(s):

Radiative Transfer ◽

Particle Method ◽

Transfer Equations ◽

Radiative Transfer Equations

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A relation between the schrödinger and radiative transfer equations

Journal of Quantitative Spectroscopy and Radiative Transfer ◽

10.1016/0022-4073(92)90070-k ◽

1992 ◽

Vol 47 (2) ◽

pp. 121-126 ◽

Author(s):

J.F. Geurdes

Keyword(s):

Radiative Transfer ◽

Transfer Equations ◽

Radiative Transfer Equations

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Solution of the radiative-transfer equations with an azimuth-averaged Hanle phase matrix

Astronomy Reports ◽

10.1134/s1063772910090076 ◽

2010 ◽

Vol 54 (9) ◽

pp. 832-839

Author(s):

D. N. Rachkovskii

Keyword(s):

Radiative Transfer ◽

Transfer Equations ◽

Radiative Transfer Equations

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Principle of the random walk method for radiative transfer equations and application

Monte-Carlo Methods and Applications in Neutronics, Photonics and Statistical Physics - Lecture Notes in Physics ◽

10.1007/bfb0049038 ◽

2006 ◽

pp. 93-105

Author(s):

J. Giorla ◽

R. Sentis

Keyword(s):

Random Walk ◽

Radiative Transfer ◽

Random Walk Method ◽

Transfer Equations ◽

Radiative Transfer Equations

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Diffusion Limit of 1-D Small Mean Free Path of Radiative Transfer Equations in Bounded Domain

Journal of Partial Differential Equations ◽

10.4208/jpde.v31.n2.4 ◽

2018 ◽

Vol 31 (2) ◽

pp. 177-192

Author(s):

Chen Xiao and Wang Shu

Keyword(s):

Radiative Transfer ◽

Free Path ◽

Bounded Domain ◽

Mean Free Path ◽

Diffusion Limit ◽

Transfer Equations ◽

Radiative Transfer Equations

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A cascadic multigrid asymptotic-preserving discrete ordinate discontinuous streamline diffusion method for radiative transfer equations with diffusive scalings

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.08.002 ◽

2020 ◽

Vol 80 (6) ◽

pp. 1650-1667

Author(s):

Wenting Shao ◽

Qiwei Sheng ◽

Cheng Wang

Keyword(s):

Radiative Transfer ◽

Diffusion Method ◽

Discrete Ordinate ◽

Asymptotic Preserving ◽

Transfer Equations ◽

Cascadic Multigrid ◽

Streamline Diffusion ◽

Radiative Transfer Equations

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