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- Title
Justification of Asymptotic Two-dimensional Model for Steady Navier-Stokes Equations for Incompressible Flow.
- Authors
Vodák, Rostislav
- Abstract
We study the asymptotic behavior of solutions to steady Navier-Stokes equations for incompressible flow in thin three-dimensional deformed cylinders. We prove that a sequence of the solutions converges strongly to a solution of a corresponding two-dimensional asymptotic model if the thickness of the cylinders converges to zero.
- Subjects
NAVIER-Stokes equations; FLOWS (Differentiable dynamical systems); ASYMPTOTIC theory of algebraic ideals; DIFFERENTIAL equations; CYLINDER (Shapes); MATHEMATICAL sequences
- Publication
Acta Applicandae Mathematicae, 2010, Vol 112, Issue 1, p21
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-009-9551-0