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

 Zh. Vychisl. Mat. Mat. Fiz.: Year: Volume: Issue: Page: Find

 Zh. Vychisl. Mat. Mat. Fiz., 2017, Volume 57, Number 12, Pages 1983–2020 (Mi zvmmf10650)

Hölder estimates for the regular component of the solution to a singularly perturbed convection-diffusion equation

V. B. Andreev

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

Abstract: In a half-plane, a homogeneous Dirichlet boundary value problem for an inhomogeneous singularly perturbed convection-diffusion equation with constant coefficients and convection directed orthogonally away from the boundary of the half-plane is considered. Assuming that the right-hand side of the equation belongs to the space $C^\lambda$, $0<\lambda<1$, and the solution is bounded at infinity, an unimprovable estimate of the solution is obtained in a corresponding Hölder norm (anisotropic with respect to a small parameter).

Key words: singularly perturbed equation, convection-diffusion, problem in a half-plane, unimprovable estimates, Hölder spaces.

DOI: https://doi.org/10.7868/S0044466917120055

Full text: PDF file (558 kB)
First page: PDF file
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2017, 57:12, 1935–1972

Bibliographic databases:

UDC: 519.63

Citation: V. B. Andreev, “Hölder estimates for the regular component of the solution to a singularly perturbed convection-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:12 (2017), 1983–2020; Comput. Math. Math. Phys., 57:12 (2017), 1935–1972

Citation in format AMSBIB
\Bibitem{And17} \by V.~B.~Andreev \paper H\"older estimates for the regular component of the solution to a singularly perturbed convection-diffusion equation \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 2017 \vol 57 \issue 12 \pages 1983--2020 \mathnet{http://mi.mathnet.ru/zvmmf10650} \crossref{https://doi.org/10.7868/S0044466917120055} \elib{http://elibrary.ru/item.asp?id=30646081} \transl \jour Comput. Math. Math. Phys. \yr 2017 \vol 57 \issue 12 \pages 1935--1972 \crossref{https://doi.org/10.1134/S0965542517120053} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000425932800005} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042514940} 

• http://mi.mathnet.ru/eng/zvmmf10650
• http://mi.mathnet.ru/eng/zvmmf/v57/i12/p1983

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles
•  Number of views: This page: 93 References: 18 First page: 4