Mathematical Analysis of the Navier-Stokes Equations with Non Standard BoundaryConditions

摘要

One of the major applications of the Domain Decomposition Time Marching Algorithmis the coupling of the Navier-Stokes systems with Boltzmann equations in order to compute transitional flows. Another important application, is the coupling of a global Navier-Stokes problem with a local one in order to use different modelizations and/or discretizations. Both of these applications involve a global Navier-Stokes system with non standard boundary conditions. The purpose of this work is to prove using the classical Leray-Schauder theory that these boundary conditions are admissible and lead to a well posed problem. (AN).