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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 306, Pages 210–228
(Mi znsl857)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/znsl857 https://www.mathnet.ru/eng/znsl/v306/p210
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Abstract page: | 253 | Full-text PDF : | 75 | References: | 51 |
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