The incompressible Navier-Stokes equations on non-compact manifolds

Abstract

We shall prove dispersive and smoothing estimates for Bochner type laplacians on some non-compact Riemannian manifolds with negative Ricci curvature, in particular on hyperbolic spaces. These estimates will be used to prove Fujita-Kato type theorems for the incompressible Navier-Stokes equations. We shall also discuss the uniqueness of Leray weak solutions in the two dimensional case.

References in corpus (1)

• The Euler and Navier-Stokes equations on the hyperbolic plane

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