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Article: On a problem connected with Navier-stokes equations in non cylindrical domains.
- Article from:
- Journal of Mathematics and Statistics
- Article date:
- January 1, 2005
- Author:
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Abstract: In this study we showed the existence of weak solutions of equations that represent flows of a non-homogeneous viscous incompressible fluids in a non cylindrical domain in [R.sup.3]. The classical Navier-stokes equation is a particular case of the equations here considered.
Key words: Non Homogeneous Fluids, Navier-stokes, Non Cylindrical Domains
INTRODUCTION
Let T > 0 be a real number and [{t}.sub.0] t [TAU] a family of bounded open subsets of [R.sup.n] with boundary [partial derivative] t = t. Let us consider the non cylindrical domain [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] whose lateral boundary [MATHEMATICAL ...