scholarly journals Simplified derivation of the Kompaneets equation

2021 ◽  
Vol 28 (9) ◽  
pp. 094502
Author(s):  
Peter W. Milonni
Keyword(s):  
Kompaneets Equation

scholarly journals Self-Adjointness and Conservation Laws of Frobenius Type Equations

Symmetry ◽  
2020 ◽  
Vol 12 (12) ◽  
pp. 1987
Author(s):  
Haifeng Wang ◽  
Yufeng Zhang
Keyword(s):  
Conservation Laws ◽  
Burgers Equation ◽  
Kdv Equation ◽  
The Self ◽  
Kp Equation ◽  
Commutative Subalgebra ◽  
Kompaneets Equation ◽  
Dym Equation ◽  
Harry Dym Equation

The Frobenius KDV equation and the Frobenius KP equation are introduced, and the Frobenius Kompaneets equation, Frobenius Burgers equation and Frobenius Harry Dym equation are constructed by taking values in a commutative subalgebra Z2ε in the paper. The five equations are selected as examples to help us study the self-adjointness of Frobenius type equations, and we show that the first two equations are quasi self-adjoint and the last three equations are nonlinear self-adjointness. It follows that we give the symmetries of the Frobenius KDV and the Frobenius KP equation in order to construct the corresponding conservation laws.

RELATIVISTIC KOMPANEETS EQUATION

2002 ◽  
pp. 2329-2331
Author(s):  
G. LEÓN SOTO ◽  
T. ZANNIAS
Keyword(s):  
Kompaneets Equation

Generalized special solutions to modified Kompaneets equation

2019 ◽  
Author(s):  
Denisa-Andreea Mihu ◽  
Marina-Aura Dariescu ◽  
Gheorghe Amanoloaei
Keyword(s):  
Kompaneets Equation ◽  
Special Solutions

Exact Solutions of the Kompaneets Equation for Photon “Comptonization” Kinetics

Astrophysics ◽  
2014 ◽  
Vol 57 (3) ◽  
pp. 401-407 ◽  
Author(s):  
A. E. Dubinov ◽  
I. N. Kitayev
Keyword(s):  
Exact Solutions ◽  
Kompaneets Equation

Green’s function for the linear Kompaneets equation

Astrophysics ◽  
1997 ◽  
Vol 40 (1) ◽  
pp. 62-76 ◽  
Author(s):  
D. I. Nagirner ◽  
V. M. Loskutov
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Kompaneets Equation

The computation of Comptonization — A comparison between generalized Kompaneets equation and Monte Carlo method

2004 ◽  
Vol 28 (1) ◽  
pp. 33-49
Author(s):  
Liu Dang-bo ◽  
Ling Jia-jie ◽  
Chen Lei ◽  
You Jun-han ◽  
Hua Xin-min
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Kompaneets Equation

scholarly journals On the derivation of the Kompaneets equation

2021 ◽  
pp. 102644
Author(s):  
Guilherme Eduardo Freire Oliveira ◽  
Christian Maes ◽  
Kasper Meerts
Keyword(s):  
Kompaneets Equation
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