EVENTO
Compressible Navier-Stokes Equations and Shape Optimization
Tipo de evento: Seminário LNCC
The compressible Navier-Stokes equations are considered in a bounded hold-all domain. The nonhomegeneous boundary conditions are prescribed on the boundary of hold-all domain. The existence of the so-called weak normalized solutions for the model is established in [1].In this talk we consider the associated shape optimization problems for the model. In the stationary case the drag of an obstacle is minimized. In the non stationary case the work for a flight scenario of an obstacle is minimized. It means that the boundary of an obstacle flying in a gas is optimized in such a way that for the given trajectory the energy required to attain a given point in the domain is minimized with respect to the shape of the obstacle. We present a general mathematical theory which leads to the existence of optimal shapes for the optimization problems. The issue of numerical computations for the shape optimization problems is also discussed.References[1] Pavel Plotnikov and Jan Sokolowski, Compressible Navier-Stokes Equations. Theory and Shape Optimization, Monografie Matematyczne, Vol. 73, Springer Basel, monograph in press.http://www.springer.com/mathematics/dynamical+systems/book/978-3-0348-0366-3
Data Início: 25/06/2012 Hora: 14:00 Data Fim: Hora: 15:30
Local: LNCC - Laboratório Nacional de Computação Ciêntifica - Auditorio A
Comitê Organizador: Jan Sokolowski - Université de Lorraine, Institute Élie Cartan, France - CNRS,INRIA -
