CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Nonlinear mappings and stability properties of two and three-layers flows
Autor/es:
CHUMAKOVA L.; MENZAQUE F.; MILEWSKI P.; ROSALES R.; TABAK E.; TURNER C.
Revista:
STUDIES IN APPLIED MATHEMATICS
Editorial:
WILEY-BLACKWELL PUBLISHING, INC
Referencias:
Año: 2009 vol. 2 p. 123 - 137
ISSN:
0022-2526
Resumen:
Two and three-layer models of stratified flows in hydrostatic balance are studied. For the former, nonlinear transformations are found that transform (baroclinic}) two-layer flows with either rigid top and bottom lids or ertical periodicity, into (barotropic}) single-layer, shallow water free-surface flows.Two-layer flows with Richardson number R 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.
