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.