Institut de Mathématiques de Jussieu-Paris Rive Gauche

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20022015

most citedExponential localization of Wannier functions in insulators

421 citations

Showing 2010 · math.APShow all

5 papers · 2 filters

math.AP2010

Hypoelliptic Estimates for a Linear Model of the Boltzmann Equation without Angular Cutoff

Nicolas Lerner, Yoshinori Morimoto, Karel Pravda-Starov

In this paper, we establish optimal hypoelliptic estimates for a class of kinetic equations, which are simplified linear models for the spatially inhomogeneous Boltzmann equation w…

math.AP2010★ 3 cited

Effective boundary condition at a rough surface starting from a slip condition

Anne-Laure Dalibard, David Gérard-Varet

We consider the homogenization of the Navier-Stokes equation, set in a channel with a rough boundary, of small amplitude and wavelength $ε$ . It was shown recently that, for any non…

math.AP2010★ 5 cited

On the reconstruction of conductivity of bordered two-dimensional surface in R^3 from electrical currents measurements on its boundary

Gennadi Henkin, Roman Novikov

An electrical potential U on bordered surface X (in Euclidien three-dimensional space) with isotropic conductivity function sigma>0 satisfies equation d(sigma d^cU)=0, where d^c is…

math.AP2010

Formes de Whitney et primitives relatives de formes différentielles sous-analytiques

Jean-Paul Brasselet, Bernard Teissier

Let $X$ be a real-analytic manifold and $g : X \to R^{n}$ a proper triangulable subanalytic map. Given a subanalytic $r$ -form $ω$ on $X$ whose pull-back to every non sing…

math.AP2010★ 5 cited

Sums of large global solutions to the incompressible Navier-Stokes equations

Jean-Yves Chemin, Isabelle Gallagher, Ping Zhang

Let G be the (open) set of~ $H ˙^{\frac{1}{2}}$ divergence free vector fields generating a global smooth solution to the three dimensional incompressible Navier-Stokes equations. W…