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12 papers · 2 filters
On the motion of a small light body immersed in a two dimensional incompressible perfect fluid with vorticity
Olivier Glass, Christophe Lacave, Franck Sueur
In this paper we consider the motion of a rigid body immersed in a two dimensional unbounded incompressible perfect fluid with vorticity. We prove that when the body shrinks to a m…
Riesz transforms of the Hodge-de Rham Laplacian on Riemannian manifolds
Jocelyn Magniez
Let be a complete non-compact Riemannian manifold satisfying the doubling volume property. Let be the Hodge-de Rham Laplacian acting on 1-differential forms.…
Rate of decay of some Petrowsky-like dissipative systems
Kais Ammari, Mouez Dimassi, Maher Zerzeri
In this paper, we show that the fastest decay rate for some Petrowsky-like dissipative systems is given by the supremum of the real part of the spectrum of the infinitesimal genera…
Fully nonlinear long-waves models in presence of vorticity
Angel Castro, David Lannes
We study here Green-Naghdi type equations (also called fully nonlinear Boussinesq, or Serre equations) modeling the propagation of large amplitude waves in shallow water. The novel…
Weighted restriction type estimates for grushin operators and application to spectral multipliers and bochner-riesz summability
Peng Chen, El Maati Ouhabaz
We prove weighted restriction type estimates for Grushin operators. These estimates are then used to prove sharp spectral multiplier theorems as well as Bochner-Riesz summability r…
The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions
Sylvie Monniaux, El Maati Ouhabaz
We show that the incompressible 3D Navier-Stokes system in a C 1;1 bounded domain or a bounded convex domain with a non penetration condition u = 0 at the boundary @ together with…