Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
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


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2024, Volume 21, Issue 1, Pages 178–187
DOI: https://doi.org/doi.org/10.33048/semi.2024.21.012 (Mi semr1675) 		 
Differentical equations, dynamical systems and optimal control

Existence of solution of Rayleigh-type equation on semi-infinite cylinder with Coulomb-type potential

R. K. Gaydukov

HSE University, ul. Myasnitskaya, 20, 101000, Moscow, Russia
Full-text PDF (528 kB)
DOI: https://doi.org/doi.org/10.33048/semi.2024.21.012
Abstract: In this paper we study a Rayleigh-type equation on a semi-infinite cylinder with a Coulomb-type potential. This equation arises in the double-deck boundary layer structure in the problem of flow induced by a uniformly rotating disk with small periodic irregularities on its surface for large Reynolds numbers. Using combined numerical and analytical approach, the existence of a unique solution to the Rayleigh-type equation is proven.
Keywords: existence and uniqueness of solution, Rayleigh-type equation, double-deck structure.
Funding agency Grant number
Russian Science Foundation 19-71-10003
Received November 1, 2023, published March 13, 2024
Document Type: Article
UDC: 517.95
MSC: 35A01
Language: Russian
Citation: R. K. Gaydukov, “Existence of solution of Rayleigh-type equation on semi-infinite cylinder with Coulomb-type potential”, Sib. Èlektron. Mat. Izv., 21:1 (2024), 178–187
Citation in format AMSBIB
\Bibitem{Gay24}
\by R.~K.~Gaydukov
\paper Existence of solution of Rayleigh-type equation on semi-infinite cylinder with Coulomb-type potential
\jour Sib. \`Elektron. Mat. Izv.
\yr 2024
\vol 21
\issue 1
\pages 178--187
\mathnet{http://mi.mathnet.ru/semr1675}
\crossref{https://doi.org/doi.org/10.33048/semi.2024.21.012}
Linking options:
  • https://www.mathnet.ru/eng/semr1675
  • https://www.mathnet.ru/eng/semr/v21/i1/p178
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024