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



Model. Anal. Inform. Sist.:
Year:
Volume:
Issue:
Page:
Find






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


Model. Anal. Inform. Sist., 2016, Volume 23, Number 5, Pages 515–528 (Mi mais518)  

This article is cited in 2 scientific papers (total in 2 papers)

Singularly perturbed elliptic Dirichlet problem with a multiple root of the degenerate equation

V. F. Butuzov, V. A. Beloshapko

Lomonosov Moscow State University, GSP-1, 1-2 Leninskiye Gory, 119991, Russia

Abstract: A singularly perturbed elliptic problem with Dirichlet boundary conditions is considered in the case of multiple roots of the degenerate equation. A complete asymptotic expansion of the solution is constructed and justified. It is qualitatively different from the known expansion in the case where the root of the degenerate equation is simple: the asymptotic expansion of the solution being in fractional powers of the small parameter, boundary-layer variables have a different scale, boundary-layer series is constructed using a non-standard algorithm, the boundary layer in the vicinity of the domain boundary consists of three zones with different behavior of the solution in different zones.

Keywords: singularly perturbed elliptic equation, case of multiple root of the degenerate equation, asymptotic expansion of boundary layer type solution, three-band boundary layer.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-01-04619_а
This work was supported by RFBR under the Grant No 15-01-04619.


DOI: https://doi.org/10.18255/1818-1015-2016-5-515-528

Full text: PDF file (616 kB)
References: PDF file   HTML file

Bibliographic databases:

UDC: 519.632.34
Received: 15.03.2016

Citation: V. F. Butuzov, V. A. Beloshapko, “Singularly perturbed elliptic Dirichlet problem with a multiple root of the degenerate equation”, Model. Anal. Inform. Sist., 23:5 (2016), 515–528

Citation in format AMSBIB
\Bibitem{ButBel16}
\by V.~F.~Butuzov, V.~A.~Beloshapko
\paper Singularly perturbed elliptic Dirichlet problem with a multiple root of the degenerate equation
\jour Model. Anal. Inform. Sist.
\yr 2016
\vol 23
\issue 5
\pages 515--528
\mathnet{http://mi.mathnet.ru/mais518}
\crossref{https://doi.org/10.18255/1818-1015-2016-5-515-528}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3569848}
\elib{http://elibrary.ru/item.asp?id=27202301}


Linking options:
  • http://mi.mathnet.ru/eng/mais518
  • http://mi.mathnet.ru/eng/mais/v23/i5/p515

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. A. Beloshapko, “Cingulyarno vozmuschennaya ellipticheskaya zadacha Dirikhle s trekhzonnym pogranichnym sloem”, Model. i analiz inform. sistem, 24:3 (2017), 280–287  mathnet  crossref  elib
    2. A. A. Bykov, K. E. Ermakova, “Exact solutions of equations of a nonstationary front with equilibrium points of a fractional order”, Comput. Math. Math. Phys., 58:12 (2018), 1977–1988  mathnet  crossref  crossref  isi  elib
  • Моделирование и анализ информационных систем
    Number of views:
    This page:154
    Full text:52
    References:16

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020