Preprints of the Keldysh Institute of Applied Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Keldysh Institute preprints:
Year:
Volume:
Issue:
Page:
Find




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

Preprints of the Keldysh Institute of Applied Mathematics, 2019, 041, 20 pp.
DOI: https://doi.org/10.20948/prepr-2019-41 (Mi ipmp2679) 		 
Euler and Navier–Stokes equations as self-consistent fields

V. V. Vedenyapin, N. S. Smirnova
Full-text PDF (920 kB)
References:
PDF
HTML
DOI: https://doi.org/10.20948/prepr-2019-41
Abstract: New kinetic equations are proposed from which the incompressible and compressible Euler and Navier–Stokes equations are derived by making an exact substitution. A class of exact solutions of the Navier–Stokes equation and the form of singularities for a gradient catastrophe are obtained.
Keywords: Navier–Stokes equation, Liouville equation, gradient catastrophe.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Russian Academy of Sciences - Federal Agency for Scientific Organizations 1.3.1
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: V. V. Vedenyapin, N. S. Smirnova, “Euler and Navier–Stokes equations as self-consistent fields”, Keldysh Institute preprints, 2019, 041, 20 pp.
Citation in format AMSBIB
\Bibitem{VedSmi19}
\by V.~V.~Vedenyapin, N.~S.~Smirnova
\paper Euler and Navier--Stokes equations as self-consistent fields
\jour Keldysh Institute preprints
\yr 2019
\papernumber 041
\totalpages 20
\mathnet{http://mi.mathnet.ru/ipmp2679}
\crossref{https://doi.org/10.20948/prepr-2019-41}
\elib{https://elibrary.ru/item.asp?id=37628563}
Linking options:
  • https://www.mathnet.ru/eng/ipmp2679
  • https://www.mathnet.ru/eng/ipmp/y2019/p41
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024