Minimax variational principle for the rotating shallow water equations: First order Rossby number effects in geophysical flows
We show that physically interesting steady states of the Rotating Shallow Water equations are characterized by a minimax principle. The objective functional is A-&thetas;H where A is the quadratic enstrophy, H is the energy and &thetas; is a positive constant. The inner maximization is subje...
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| Language: | ENG |
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ScholarWorks@UMass Amherst
2006
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| Online Access: | https://scholarworks.umass.edu/dissertations/AAI3242107 |