Boundary Asymptotic Analysis for an Incompressible Viscous Flow: Navier Wall Laws

We consider a new way of establishing Navier wall laws. Considering a bounded domain $\Omega$ of R N , N=2,3, surrounded by a thin layer $\Sigma \epsilon$, along a part $\Gamma$2 of its boundary $\partial \Omega$, we consider a Navier-Stokes flow in $\Omega \cup \partial \Omega \cup \Sigma \epsilon$ with Reynolds' number of order 1/$\epsilon$ in $\Sigma \epsilon$. Using $\Gamma$-convergence arguments, we describe the asymptotic behaviour of the solution of this problem and get a general Navier law involving a matrix of Borel measures having the same support contained in the interface $\Gamma$2. We then consider two special cases where we characterize this matrix of measures. As a further application, we consider an optimal control problem within this context

Editorial (Special Issue on Multiscale Problems in Science and Technology)

This Special Issue of the journal Nonlinear Analysis — Real World Applications contains a set of contributions based on talks delivered at the conference Multiscale Problems in Science and Technology. Challenges to Mathematical Analysis and Perspectives II which was held in Dubrovnik, Croatia, from October 1 to October 6, 2007

Homogenization of nonlinear convection diffusion equation with rapidly oscillating coefficients and strong convection

SIGLEAvailable from TIB Hannover: RR 1606(2002,17) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDeutsche Forschungsgemeinschaft (DFG), Bonn (Germany)DEGerman