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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 219, Number 1, Pages 151–162
DOI: https://doi.org/10.4213/tmf10659 (Mi tmf10659) 		 
Diffusion of a collisionless gas

V. V. Kozlov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf10659
Abstract: We study a diffusion-type equation for the density of a collisionless relativistic gas (Jüttner gas). The rate of diffusion propagation turns out to be finite. We consider problems of the existence and uniqueness of solutions of this equation, as well as some of its generalized solutions.
Keywords: collisionless gas, Jüttner gas, diffusion equation, generalized solutions, reversibility, entropy.
Funding agency Grant number
Russian Science Foundation 19-71-30012
This work was supported by the Russian Science Foundation under grant No. 19-71-30012, https://rscf.ru/en/project/19-71-30012/.
Received: 13.12.2023
Revised: 13.12.2023
English version:
Theoretical and Mathematical Physics, 2024, Volume 219, Issue 1, Pages 663–672
DOI: https://doi.org/10.1134/S004057792404010X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Kozlov, “Diffusion of a collisionless gas”, TMF, 219:1 (2024), 151–162; Theoret. and Math. Phys., 219:1 (2024), 663–672
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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