Justification of Asymptotic Two-dimensional Model for Steady Navier-Stokes Equations for Incompressible Flow

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.

• Content Type Journal Article
• DOI 10.1007/s10440-009-9551-0
• Authors
  
  
  • Rostislav Vodák, Palacky University Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science tř. 17. listopadu 1192/12 771 46 Olomouc Czech Republic
  
  

• Journal Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications
• Online ISSN 1572-9036
• Print ISSN 0167-8019

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Original source : http://www.springerlink.com/content/rp0332107mhh24...