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Ulrich Razafison

Université de Bourgogne Franche-Comté, France

Title: Mathematical analysis of the exterior problem of Navier-Stokes using weighted Sobolev spaces

Biography

Biography: Ulrich Razafison

Abstract

We are interested in the stationary Navier-Stokes equations describing viscous fluid flow past an obstacle. Because the flow domain is unbounded, we choose to set the problem in a functional framework that uses weight functions to control the behavior at infinity of solutions. To take into account, the wake region behind the obstacle, anisotropic weights are considered. A first indispensable step is the investigation of the Oseen equations that are a linearized version of the Navier-Stokes equations. After presenting the models, we will be interested in the existence and uniqueness results.

Recent Publications

1 Razafison U (2008) The stationary Navier-Stokes equations in 3D exterior domains. An approach in anisotropically weighted Lq spaces. Journal of Differential Equations 245:2785-2801.

2  Amrouche C and Razafison U (2007) The stationary Oseen equations in R3. An approach in weighted Sobolev spaces. Journal of Mathematical Fluid Mechanics 9:211-225.

3 Amrouche C and Razafison U (2007) Weighted Sobolev spaces for a scalar model of the stationary Oseen equations in R3. Journal of Mathematical Fluid Mechanics 9:181-210.

4 Razafison U (2006) Anisotropic weighted Lp spaces for the stationary exterior 3D problem of Oseen. J.  Math. Anal. Appl. 323:275-292.

5   Amrouche C and Razafison U (2006) Anisotropically weighted Poincaré-type inequalities; Application to the Oseen problem. Math. Nachr. 279:931-947.