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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.
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https://hal.archives-ouvertes.fr/hal-01002061
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Submitted on : Thursday, June 5, 2014 - 9:12:00 PM
Last modification on : Wednesday, November 3, 2021 - 6:38:45 AM
Long-term archiving on: : Friday, September 5, 2014 - 11:51:03 AM

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  • HAL Id : hal-01002061, version 1
  • ARXIV : 1406.1644

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Vittoria Pierfelice. The incompressible Navier-Stokes equations on non-compact manifolds. Journal of Geometric Analysis, 2017, 27 (1), pp.577-617. ⟨hal-01002061⟩

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