Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2003, Volume 306, Pages 210–228 (Mi znsl857)  
This article is cited in 5 scientific papers (total in 5 papers)

Steady-state solutions to the equations of motion of second-grade fluids with general Navier-type slip boundary conditions in Hölder spaces

A. Tania, C. Le Rouxbc

a Department of Mathematics, Faculty of Science and Technology, Keio University
b University of Pretoria
c University of Pretoria, Faculty of Natural and Agricultural Sciences
Full-text PDF (216 kB) Citations (5)
References:
PDF
HTML
Abstract: We consider a boundary-value problem for the stationary flow of an incompressible second-grade fluid in a bounded domain. The boundary condition allows for no-slip, Navier-type slip and free slip on different parts of the boundary.
We first establish the well-posedness of a linear auxiliary problem by means of a fixed-point argument in which it is decomposed into a Stokes-type problem and two transport equations. Then we use the method of successive approximations to prove the unique solvability in Hölder spaces of the nonlinear problem with a sufficiently small body force.
Received: 21.11.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 130, Issue 4, Pages 4899–4909
DOI: https://doi.org/10.1007/s10958-005-0385-7
Bibliographic databases:
UDC: 517
Language: English
Citation: A. Tani, C. Le Roux, “Steady-state solutions to the equations of motion of second-grade fluids with general Navier-type slip boundary conditions in Hölder spaces”, Boundary-value problems of mathematical physics and related problems of function theory. Part 34, Zap. Nauchn. Sem. POMI, 306, POMI, St. Petersburg, 2003, 210–228; J. Math. Sci. (N. Y.), 130:4 (2005), 4899–4909
Citation in format AMSBIB
\Bibitem{TanLe 03}
\by A.~Tani, C.~Le~Roux
\paper Steady-state solutions to the equations of motion of second-grade fluids with general Navier-type slip boundary conditions in H\"older spaces
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~34
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 306
\pages 210--228
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl857}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2065505}
\zmath{https://zbmath.org/?q=an:1148.35345}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 130
\issue 4
\pages 4899--4909
\crossref{https://doi.org/10.1007/s10958-005-0385-7}
Linking options:
  • https://www.mathnet.ru/eng/znsl857
  • https://www.mathnet.ru/eng/znsl/v306/p210
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:255
    Full-text PDF :75
    References:52
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024