Equações de Navier-Stokes com densidade variavel e difusão de massa em dominios finos
AUTOR(ES)
Marilaine de Fraga Sant Ana
DATA DE PUBLICAÇÃO
2000
RESUMO
In this work we analyze a simplified model for the Navier-Stokes equations governing the flow of an incompressible viscous fluid with variable density and mass diffusion. These equations are studied in thin three-dimensional domains under periodic boundary conditions. The behavior of the solutions of such equations is analyze when the thickness of the domains tend to zero. It is shown that these solutions converge to corresponding solutions of a specific limit bidimensional problem whose associate equations we call reduced system. We also analyze the attractors of the systems corresponding to the thin three-dimensional domains and their relationship with the attractor of the reduced system, by showing that a uppersemicontinuity property holds in a bounded attraction basin
ASSUNTO(S)
navier-stokes equações diferenciais parciais não-lineares equações de
