CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Shear instability for three layers flows
Autor/es:
TURNER C.- MENZAQUE F. TABAK.E-ROSALE R-MILEWSKI P
Lugar:
Rio de Janeiro-Brasil
Reunión:
Workshop; Computational and Mathematical challenges in Wells, waves and weather; 2008
Institución organizadora:
IMPA
Resumen:
Two and three-layer models of stratified flows in hydrostatic balance are studied. For the former, nonlinear transformations are found that transform (emph{baroclinic}) two-layer flows with either rigid top and bottom lids or vertical periodicity, into ({barotropic) single-layer, shallow water free-surface flows Two-layer flows with Richardson number Ri bigger than one are nonlinearly stable.A general necessary condition for the nonlinear stability of systems of mixed type is established. For three-layer flows with vertical periodicity, the domains of local stability are determined. Yet these flows are shown not to have a nonlinear stability result as strong as their two-layer counterpart.
