Special Session 125: 

Time-Stepping numerical schemes for three-dimensional viscous primitive equations

Ming-Cheng Shiue
National Chiao Tung University
Taiwan
Co-Author(s):    Chun-Hsuing Hsia
Abstract:
In this talk, three-dimensional viscous primitive equations which govern equations of the motion of flows in geophysical fluid dynamics are considered. The global in time strong solution for the model has been established by Cao and Titi and Kobelkov independently. In this talk, several time-stepping numerical schemes have been studied. We are interested in the study and discussion of the long-time stability of these numerical schemes, which is important for the study of the climate. In this talk, we will introduce the primitive equations, present the semi-discretized schemes and analyze and discuss the long time stability of the numerical scheme.