Mathematical notes of NEFU
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


Mathematical notes of NEFU:
Year:
Volume:
Issue:
Page:
Find




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

Mathematical notes of NEFU, 2020, Volume 27, Issue 3, Pages 27–38
DOI: https://doi.org/10.25587/SVFU.2020.93.40.003 (Mi svfu291) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

The Cauchy problem for a nonlinear degenerate parabolic system in non-divergence form

M. Aripova, A. S. Matyakubova, B. Kh. Imomnazarovb

a National University of Uzbekistan, University street 4, Tashkent 100174, Uzbekistan
b Novosibirsk State University, 1 Pirogov Street, Novosibirsk 630090, Russia
Full-text PDF (237 kB) Citations (3)
DOI: https://doi.org/10.25587/SVFU.2020.93.40.003
Abstract: We deal with degenerate quasilinear parabolic systems in the non-divergence form under positive initial conditions. An asymptotic behavior of self-similar solutions in the case of slow diffusion is established. Depending on values of the numerical parameters and the initial value, the existence of the global solutions of the Cauchy problem is proved. In addition, the asymptotic representation of the solution is obtained.
Keywords: a nonlinear degenerate parabolic system, non-divergence form, Cauchy problem.
Funding agency Grant number
Uzbek-Russian Foundation for Basic Research MRT-OT-81-2018
Russian Foundation for Basic Research 18–51–41002
18-31-00120
This work is supported by the Russian-Uzbek project MRT-OT-81-2018 and the Russian Foundation for Basic Research (grants 18-51-41002 and 18-31-00120).
Received: 29.09.2019
Revised: 30.06.2020
Accepted: 30.08.2020
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: English
Citation: M. Aripov, A. S. Matyakubov, B. Kh. Imomnazarov, “The Cauchy problem for a nonlinear degenerate parabolic system in non-divergence form”, Mathematical notes of NEFU, 27:3 (2020), 27–38
Citation in format AMSBIB
\Bibitem{AriMatImo20}
\by M.~Aripov, A.~S.~Matyakubov, B.~Kh.~Imomnazarov
\paper The Cauchy problem for a nonlinear degenerate parabolic system in non-divergence form
\jour Mathematical notes of NEFU
\yr 2020
\vol 27
\issue 3
\pages 27--38
\mathnet{http://mi.mathnet.ru/svfu291}
\crossref{https://doi.org/10.25587/SVFU.2020.93.40.003}
\elib{https://elibrary.ru/item.asp?id=44150790}
Linking options:
  • https://www.mathnet.ru/eng/svfu291
  • https://www.mathnet.ru/eng/svfu/v27/i3/p27
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Mathematical notes of NEFU
    Statistics & downloads:
    Abstract page:81
    Full-text PDF :32
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024