In this paper we study the well-posedness of the steady motions problem for a second-grade fluid in a bounded domain, with adherence conditions at the boundary. We prove the existence and uniqueness of steady classical solutions for any value of the normal stress moduli, thus showing that the thermodynamical restrictions are not needed for the mathematical problem being well-set. Moreover, we find that such steady motions are exponentially non-linearly stable, provided alpha1 is positive.
Existence, uniqueness and stability of regular steady motions of a second grade fluid
COSCIA, Vincenzo;
1994
Abstract
In this paper we study the well-posedness of the steady motions problem for a second-grade fluid in a bounded domain, with adherence conditions at the boundary. We prove the existence and uniqueness of steady classical solutions for any value of the normal stress moduli, thus showing that the thermodynamical restrictions are not needed for the mathematical problem being well-set. Moreover, we find that such steady motions are exponentially non-linearly stable, provided alpha1 is positive.File in questo prodotto:
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