Dale R Durran
Eulerian equations for mass-motion; Navier-Stokes equation for viscous fluids, Cartesion tensors, stress-strain relations; Kelvin's theorem, vortex dynamics; potential flows, flows with high-low Reynolds numbers; boundary layers, introduction to singular perturbation techniques; water waves; linear instability theory. Prerequisite: either a course in partial differential equations or permission of instructor. Offered: jointly with AMATH 505/ATM S 505; A, odd years.
The purpose of the course is to obtain a thorough understanding of the basic mathematical relations that describe atmospheric and oceanic motions. We will consider both the fundamental governing equations applicable to almost all geophysical motions and simplifed models describing elementary stable and unstable circulations.
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