Loading [MathJax]/jax/output/SVG/config.js
Trudy Instituta Matematiki i Mekhaniki UrO RAN
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


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 4, Pages 48–63 (Mi timm999)  
This article is cited in 4 scientific papers (total in 4 papers)

Some solutions of continuum equations for an incompressible viscous fluid

V. P. Vereshchaginab, Yu. N. Subbotinb, N. I. Chernykhb

a Russian State Professional Pedagogical University
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (220 kB) Citations (4)
References:
PDF
HTML
Abstract: We consider the Navier–Stokes equations for an incompressible fluid that at any specific instant $t\ge 0$ fills an open axially symmetric cylindric layer $D$. We find solutions of these equations in the class of motions described by velocity fields whose lines for $t\ge 0$ coincide with their vortex lines and lie on axially symmetric cylindric surfaces in $D$.
Keywords: scalar fields; vector fields; tensor fields; curl; Navier-Stokes equation; Stokes equation.
Received: 29.03.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 287, Issue 1, Pages 208–223
DOI: https://doi.org/10.1134/S008154381409020X
Bibliographic databases:
Document Type: Article
UDC: 514.17; 532.5
Language: Russian
Citation: V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “Some solutions of continuum equations for an incompressible viscous fluid”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 4, 2013, 48–63; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 208–223
Citation in format AMSBIB
\Bibitem{VerSubChe13}
\by V.~P.~Vereshchagin, Yu.~N.~Subbotin, N.~I.~Chernykh
\paper Some solutions of continuum equations for an incompressible viscous fluid
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 4
\pages 48--63
\mathnet{http://mi.mathnet.ru/timm999}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364363}
\elib{https://elibrary.ru/item.asp?id=20640494}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2014
\vol 287
\issue , suppl. 1
\pages 208--223
\crossref{https://doi.org/10.1134/S008154381409020X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000345589100020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84912029211}
Linking options:
  • https://www.mathnet.ru/eng/timm999
  • https://www.mathnet.ru/eng/timm/v19/i4/p48
    • This publication is cited in the following 4 articles:
    1. G. B. Sizykh, “Rasscheplenie uravnenii Nave–Stoksa dlya odnogo klassa osesimmetrichnykh techenii”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 24:1 (2020), 163–173  mathnet  crossref
    2. Yu. V. Sheretov, “Ob obschikh tochnykh resheniyakh sistemy Nave-Stoksa i kvazigidrodinamicheskoi sistemy dlya nestatsionarnykh techenii”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2017, no. 3, 13–25  mathnet  crossref
    3. V. P. Vereschagin, Yu. N. Subbotin, N. I. Chernykh, “Odin klass reshenii uravneniya Eilera v tore s solenoidalnym polem skorostei. III”, Tr. IMM UrO RAN, 22, no. 2, 2016, 91–100  mathnet  crossref  mathscinet  elib
    4. V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “A solution class of the Euler equation in a torus with solenoidal velocity field. II”, Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 236–242  mathnet  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:386
    Full-text PDF :112
    References:82
    First page:6
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025