Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 500, Pages 67–73
DOI: https://doi.org/10.31857/S2686954321050131 (Mi danma205) 		 
MATHEMATICS

Existence and stability of equilibrium solutions of the Vlasov equation with a modified gravitational potential

T. V. Sal'nikova

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (171 kB)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954321050131
Abstract: We consider a system of mutually gravitating particles with possible collisions, which is modeled by supplementing the gravitational potential with the potential of repulsive forces similar to Lennard-Jones intermolecular forces. For an infinite number of particles, the probability density function is determined by the Vlasov kinetic equation with a modified gravitational potential. The existence of a large class of nonlinearly stable equilibrium solutions of this equation is proved using the energy–Casimir method.
Keywords: energy–Casimir method, nonlinear stability, Lennard-Jones type potential.
Presented: V. V. Kozlov
Received: 28.04.2021
Revised: 12.07.2021
Accepted: 18.08.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 2, Pages 277–281
DOI: https://doi.org/10.1134/S1064562421050136
Bibliographic databases:
Document Type: Article
UDC: 531.19
Language: Russian
Citation: T. V. Sal'nikova, “Existence and stability of equilibrium solutions of the Vlasov equation with a modified gravitational potential”, Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021), 67–73; Dokl. Math., 104:2 (2021), 277–281
Citation in format AMSBIB
\Bibitem{Sal21}
\by T.~V.~Sal'nikova
\paper Existence and stability of equilibrium solutions of the Vlasov equation with a modified gravitational potential
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2021
\vol 500
\pages 67--73
\mathnet{http://mi.mathnet.ru/danma205}
\crossref{https://doi.org/10.31857/S2686954321050131}
\zmath{https://zbmath.org/?q=an:7492945}
\elib{https://elibrary.ru/item.asp?id=47249633}
\transl
\jour Dokl. Math.
\yr 2021
\vol 104
\issue 2
\pages 277--281
\crossref{https://doi.org/10.1134/S1064562421050136}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85124347508}
Linking options:
  • https://www.mathnet.ru/eng/danma205
  • https://www.mathnet.ru/eng/danma/v500/p67
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:85
    Full-text PDF :20
    References:16
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024