Bifurcation and stability of double-diffusive convection


Chun-Hsiung Hsia

14:00:00 - 15:00:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Convective motions occur in a fluid when there are density variations present. Double-diffusive convection is the name given to such convective motions when the density variations are caused by two different components which have different rates of diffusion. In this talk, we present a bifurcation and stability analysis on the double-diffusive convection. This study includes a complete bifurcation analysis when the system parameter crosses some critical values and the asymptotic stability of bifurcated solutions. The main tools we have used in this research include the attractor bifurcation theory and the center manifold reductions.