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Exact Stationary Solutions to a General Form of the Kompaneets Equation

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In the present work, we propose a method to build solutions to a general form of the stationary Kompaneets equation. In the nonrelativistic regime, special attention is given to cases… Click to show full abstract

In the present work, we propose a method to build solutions to a general form of the stationary Kompaneets equation. In the nonrelativistic regime, special attention is given to cases where the solutions are expressed in terms of Heun functions. A comparison with the results obtained within a numerical analysis is also briefly discussed.

Keywords: exact stationary; general form; kompaneets equation; stationary solutions; solutions general

Journal Title: Astrophysics
Year Published: 2019

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