Mathematics of the USSR-Sbornik
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
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Sbornik, 1972, Volume 16, Issue 4, Pages 517–544
DOI: https://doi.org/10.1070/SM1972v016n04ABEH001438 (Mi sm3138) 		 
This article is cited in 138 scientific papers (total in 138 papers)

On the Cauchy problem for composite systems of nonlinear differential equations

A. I. Vol'pert, S. I. Khudyaev
English version PDF (1263 kB) Citations (138) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1972v016n04ABEH001438
Abstract: In this paper the solvability of the Cauchy problem in a space of smooth functions is demonstrated for hyperbolic-parabolic composite systems of nonlinear equations which include a broad class of equations of mathematical physics, in particular, symmetric systems of first order and parabolic systems of second order. Cauchy problems for the equations of the dynamics of a viscous compressible fluid and for the equations of gas dynamics are solved as examples.
Bibliography: 6 titles.
Received: 05.04.1971
Bibliographic databases:
UDC: 517.946.8
MSC: Primary 35M05; Secondary 35K55, 80A30, 76W05
Language: English
Original paper language: Russian
Citation: A. I. Vol'pert, S. I. Khudyaev, “On the Cauchy problem for composite systems of nonlinear differential equations”, Math. USSR-Sb., 16:4 (1972), 517–544
Citation in format AMSBIB
\Bibitem{VolKhu72}
\by A.~I.~Vol'pert, S.~I.~Khudyaev
\paper On the Cauchy problem for composite systems of nonlinear differential equations
\jour Math. USSR-Sb.
\yr 1972
\vol 16
\issue 4
\pages 517--544
\mathnet{http://mi.mathnet.ru//eng/sm3138}
\crossref{https://doi.org/10.1070/SM1972v016n04ABEH001438}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=390528}
\zmath{https://zbmath.org/?q=an:0239.35017}
Linking options:
  • https://www.mathnet.ru/eng/sm3138
  • https://doi.org/10.1070/SM1972v016n04ABEH001438
  • https://www.mathnet.ru/eng/sm/v129/i4/p504
    • This publication is cited in the following 138 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024