Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 211, Number 2, Pages 319–332
DOI: https://doi.org/10.4213/tmf10218 (Mi tmf10218) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations

O. S. Rozanova

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (446 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf10218
Abstract: We show that a constant external magnetic field, generally speaking, is not able to prevent breaking (loss of smoothness) of relativistic plasma oscillations, even if these are arbitrarily small perturbations of the zero steady state. This result sharply differs from the nonrelativistic case, where the breaking of oscillations can be suppressed at any initial deviations by increasing the magnetic field strength. Nevertheless, even in the relativistic case, there are subclasses of solutions corresponding to solutions that are globally smooth in time.
Keywords: quasilinear hyperbolic system, plasma oscillations, small perturbations, oscillation breaking, external magnetic field.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1621
Supported by the Ministry of Education and Science of the Russian Federation as part of the program of the Moscow Center for Fundamental and Applied Mathematics under the agreement No. 075-15-2019-1621.
Received: 30.11.2021
Revised: 15.12.2021
English version:
Theoretical and Mathematical Physics, 2022, Volume 211, Issue 2, Pages 712–723
DOI: https://doi.org/10.1134/S0040577922050117
Bibliographic databases:
Document Type: Article
MSC: 35Q60, 35L40, 34E10, 34L30
Language: Russian
Citation: O. S. Rozanova, “Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations”, TMF, 211:2 (2022), 319–332; Theoret. and Math. Phys., 211:2 (2022), 712–723
Citation in format AMSBIB
\Bibitem{Roz22}
\by O.~S.~Rozanova
\paper Study of small perturbations of a~stationary state in a~model of upper hybrid plasma oscillations
\jour TMF
\yr 2022
\vol 211
\issue 2
\pages 319--332
\mathnet{http://mi.mathnet.ru/tmf10218}
\crossref{https://doi.org/10.4213/tmf10218}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461529}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...211..712R}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 211
\issue 2
\pages 712--723
\crossref{https://doi.org/10.1134/S0040577922050117}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85130692164}
Linking options:
  • https://www.mathnet.ru/eng/tmf10218
  • https://doi.org/10.4213/tmf10218
  • https://www.mathnet.ru/eng/tmf/v211/i2/p319
    • This publication is cited in the following 2 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
    Statistics & downloads:
    Abstract page:236
    Full-text PDF :83
    References:58
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024