In this paper we study existence, uniqueness and asymptotic decay at large distance for flows of a homogeneous incompressible fluid filling a half space. We are concerned with suitable generalized solutions to the steady Navier-Stokes equations for which we prove also appropriate Ln/2 estimates (n greater or equal to 3), provided the data are suitably "small". Moreover, we compare this kind of solutions with "D-solutions" and prove that, for "small" data, the two classes of solutions coincide.
Existence, uniqueness and asymptotic decay of steady incompressible flows in a half space
COSCIA, Vincenzo;PATRIA, Maria Cristina
1992
Abstract
In this paper we study existence, uniqueness and asymptotic decay at large distance for flows of a homogeneous incompressible fluid filling a half space. We are concerned with suitable generalized solutions to the steady Navier-Stokes equations for which we prove also appropriate Ln/2 estimates (n greater or equal to 3), provided the data are suitably "small". Moreover, we compare this kind of solutions with "D-solutions" and prove that, for "small" data, the two classes of solutions coincide.File in questo prodotto:
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