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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 1, Pages 120–128 (Mi tmf5565)  
This article is cited in 6 scientific papers (total in 6 papers)

Solutions of Bogolyubov equations for one-dimensional system of hard spheres

V. I. Gerasimenko

Mathematics Institute, Academy of Sciences of the Ukrainian SSR
Full-text PDF (895 kB) Citations (6)
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Abstract: For a one-dimensional system of particles that interact as hard elastic spheres the existence of global solutions to the Cauehy problem for the Bogolyubov equations is proved for initial data in spaces of sequences of summable and bounded functions.
Received: 22.07.1991
English version:
Theoretical and Mathematical Physics, 1992, Volume 91, Issue 1, Pages 410–417
DOI: https://doi.org/10.1007/BF01019833
Bibliographic databases:
Language: Russian
Citation: V. I. Gerasimenko, “Solutions of Bogolyubov equations for one-dimensional system of hard spheres”, TMF, 91:1 (1992), 120–128; Theoret. and Math. Phys., 91:1 (1992), 410–417
Citation in format AMSBIB
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\by V.~I.~Gerasimenko
\paper Solutions of Bogolyubov equations for one-dimensional system of hard spheres
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\vol 91
\issue 1
\pages 120--128
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1182552}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 91
\issue 1
\pages 410--417
\crossref{https://doi.org/10.1007/BF01019833}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KF26500009}
Linking options:
  • https://www.mathnet.ru/eng/tmf5565
  • https://www.mathnet.ru/eng/tmf/v91/i1/p120
    • This publication is cited in the following 6 articles:
    1. V. Gerasimenko, I. Gapyak, “Non-perturbative solutions of hierarchies of evolution equations for colliding particles”, AIP Advances, 14:12 (2024)  crossref
    2. Gerasimenko I V., Gapyak V I., “Boltzmann-Grad Asymptotic Behavior of Collisional Dynamics”, Rev. Math. Phys., 33:2 (2021), 2130001  crossref  isi
    3. Gerasimenko V., Gapyak I., “Low-Density Asymptotic Behavior of Observables of Hard Sphere Fluids”, Adv. Math. Phys., 2018, 6252919  crossref  isi
    4. Borovchenkova M.S., Gerasimenko V.I., “On the Non-Markovian Enskog Equation for Granular Gases”, J. Phys. A-Math. Theor., 47:3 (2014), 035001  crossref  isi
    5. Viktor I. Gerasimenko, Igor V. Gapyak, “Hard sphere dynamics and the Enskog equation”, Kinetic & Related Models, 5:3 (2012), 459  crossref
    6. G. N. Gubal', M. A. Stashenko, “Improvement of an Estimate of the Global Existence Theorem for Solutions of the Bogoliubov Equations”, Theoret. and Math. Phys., 145:3 (2005), 1736–1740  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    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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    Full-text PDF :116
    References:76
    First page:1
     
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