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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.
Cited literature [54 references]
https://hal.archives-ouvertes.fr/hal-01002061
Contributor : Vittoria Pierfelice Connect in order to contact the contributor
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
Contributor : Vittoria Pierfelice Connect in order to contact the contributor
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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