Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 4, Pages 859–873
DOI: https://doi.org/10.33048/smzh.2019.60.412 (Mi smj3120) 		 
On double wave type flows

L. I. Rubinaa, O. N. Ulyanovab

a Krasovskii Institute of Mathematics and Mechanics, Ekaterinburg, Russia
b Ural Federal University, Ekaterinburg, Russia
Full-text PDF (471 kB)
References:
PDF
HTML
DOI: https://doi.org/10.33048/smzh.2019.60.412
Abstract: We study the potential double wave equation and the system of spatial double wave equations. In the class of solutions of multiple wave type, these equations are reduced to an ODE and the system of ODEs respectively. We find some exact solutions and obtain formulas for the contact lines of the corresponding double waves with a simple wave, show that in a neighborhood of an arbitrary point in the plane of self-similar variables there exists a special flow of potential double wave type, and construct a spatial double wave type flow around a specified smooth body.
Keywords: nonlinear PDEs, potential double waves, spatial double waves, method of characteristics, exact solutions.
Received: 29.12.2017
Revised: 28.02.2019
Accepted: 15.05.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 4, Pages 673–684
DOI: https://doi.org/10.1134/S0037446619040128
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: L. I. Rubina, O. N. Ulyanov, “On double wave type flows”, Sibirsk. Mat. Zh., 60:4 (2019), 859–873; Siberian Math. J., 60:4 (2019), 673–684
Citation in format AMSBIB
\Bibitem{RubUly19}
\by L.~I.~Rubina, O.~N.~Ulyanov
\paper On double wave type flows
\jour Sibirsk. Mat. Zh.
\yr 2019
\vol 60
\issue 4
\pages 859--873
\mathnet{http://mi.mathnet.ru/smj3120}
\crossref{https://doi.org/10.33048/smzh.2019.60.412}
\elib{https://elibrary.ru/item.asp?id=41628006}
\transl
\jour Siberian Math. J.
\yr 2019
\vol 60
\issue 4
\pages 673--684
\crossref{https://doi.org/10.1134/S0037446619040128}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000480738600012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85070671359}
Linking options:
  • https://www.mathnet.ru/eng/smj3120
  • https://www.mathnet.ru/eng/smj/v60/i4/p859
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:202
    Full-text PDF :96
    References:34
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024