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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 151, Number 1, Pages 138–148
DOI: https://doi.org/10.4213/tmf6016 (Mi tmf6016) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Solutions of the Vlasov equation in Lagrange coordinates

Yu. A. Volkov

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Full-text PDF (376 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf6016
Abstract: We show that the method of "finite-size" particles is a discrete model of the Vlasov equation but in a different (effective) interaction potential. We calculate the effective potential explicitly in the most interesting case of the Coulomb interaction. We find the equations of motion of particles of "finite size" for the Gaussian form factor.
Keywords: discrete model of the Vlasov equation, "finite-size" particle, self-consistent field.
Received: 20.06.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 151, Issue 1, Pages 556–565
DOI: https://doi.org/10.1007/s11232-007-0041-0
Bibliographic databases:
Language: Russian
Citation: Yu. A. Volkov, “Solutions of the Vlasov equation in Lagrange coordinates”, TMF, 151:1 (2007), 138–148; Theoret. and Math. Phys., 151:1 (2007), 556–565
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v151/i1/p138
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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