Monday, July 22
The study of geophysical fluids presents many challenges to mathematicians. The full primitive equations are too general to be even appropriate for numerical simulations. Simplified models are needed that still capture the key features of a specific oceanic, or atmospheric, phenomenon. This is a problem in partial differential equations that can be, on account of conserved quantities, be posed in the Hamiltonian framework.
Geophysical Fluids and Mathematical Issues
The Lagrangian view of fluid motion is particularly important in oceanography since only Lagrangian data can be obtained from sub-surface motion. The problem of assimilating such data into numerical models is thus of great practical significance. Lagrangian mixing poses many problems in dynamical systems. Since the only realistic models are numerical, this area involves incorporating the theory of geophysical fluids, computations and analysis.
Organizer: Christopher K.R.T. Jones
- 3:15 Hamiltonian Balance Equations
- Darryl D. Holm, Los Alamos National Laboratories
- 3:45 Ingestion of Numerical Data into Numerical Models
- A.D. Kirwan Jr., Old Dominion University
- 4:15 Mixing in Braotropic Jets with Viscosity
- Sanjeeva Balasuriya and Christopher Jones
- 4:45 Transport Issues in Fluid Flows with Non-Periodic Fluctuations
- Nresh Malhotra, California Institute of Technology