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4 papers · 2 filters
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 . It was shown recently that, for any non…
Mathematics for 2d Interfaces
Claude Bardos, David Lannes
We present here a survey of recent results concerning the mathematical analysis of instabilities of the interface between two incompressible, non viscous, fluids of constant densit…
Hypocoercivity for linear kinetic equations conserving mass
Jean Dolbeault, Clément Mouhot, Christian Schmeiser
We develop a new method for proving hypocoercivity for a large class of linear kinetic equations with only one conservation law. Local mass conservation is assumed at the level of…
Layer Potential Techniques for the Narrow Escape Problem
Habib Ammari, Kostis Kalimeris, Hyeonbae Kang +1
The narrow escape problem consists of deriving the asymptotic expansion of the solution of a drift-diffusion equation with the Dirichlet boundary condition on a small absorbing par…