Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 308, Pages 76–87
DOI: https://doi.org/10.4213/tm4066 (Mi tm4066) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Singularities of Multivalued Solutions of Quasilinear Hyperbolic Systems

I. A. Bogaevskyab, D. V. Tunitskyc

a Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
b Scientific Research Institute for System Analysis of the Russian Academy of Sciences, Nakhimovskii pr. 36, korp. 1, Moscow, 117218 Russia
c V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, ul. Profsoyuznaya 65, Moscow, 117997 Russia
Full-text PDF (225 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tm4066
Abstract: We study the singularities of multivalued solutions of a quasilinear hyperbolic system with two independent and two dependent variables that satisfies the strong nonlinearity condition. For such solutions we obtain a local left–right classification of their projections onto the plane of independent variables at points of finite multiplicity of rank $1$.
Keywords: quasilinear hyperbolic system, multivalued solution, gradient catastrophe, strong nonlinearity condition, singularity of a projection, germ of finite multiplicity, left–right classification.
Funding agency Grant number
Russian Foundation for Basic Research 19-51-50005 ЯФ_а
20-01-00610 а
This work was supported by the Russian Foundation for Basic Research and the Japan Society for the Promotion of Science, project no. 19-51-50005. The work of the second author was also supported by the Russian Foundation for Basic Research, project no. 20-01-00610 A.
Received: September 21, 2019
Revised: November 19, 2019
Accepted: January 8, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 308, Pages 67–78
DOI: https://doi.org/10.1134/S008154382001006X
Bibliographic databases:
Document Type: Article
UDC: 517.956.35+515.164.15+514.763.8
Language: Russian
Citation: I. A. Bogaevsky, D. V. Tunitsky, “Singularities of Multivalued Solutions of Quasilinear Hyperbolic Systems”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 308, Steklov Math. Inst. RAS, Moscow, 2020, 76–87; Proc. Steklov Inst. Math., 308 (2020), 67–78
Citation in format AMSBIB
\Bibitem{BogTun20}
\by I.~A.~Bogaevsky, D.~V.~Tunitsky
\paper Singularities of Multivalued Solutions of Quasilinear Hyperbolic Systems
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2020
\vol 308
\pages 76--87
\publ Steklov Math. Inst. RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4066}
\crossref{https://doi.org/10.4213/tm4066}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4101843}
\elib{https://elibrary.ru/item.asp?id=43298191}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2020
\vol 308
\pages 67--78
\crossref{https://doi.org/10.1134/S008154382001006X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000535370800006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85085277069}
Linking options:
  • https://www.mathnet.ru/eng/tm4066
  • https://doi.org/10.4213/tm4066
  • https://www.mathnet.ru/eng/tm/v308/p76
    • 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
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:396
    Full-text PDF :56
    References:43
    First page:20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024