Miller, Jonathan (1991) Statistical mechanics of two-dimensional Euler equations and Jupiter's great red spot. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-07182007-073652
For the first time, we construct a statistical mechanics for the two-dimensional Euler fluid which respects all conservation laws. We derive mean-field equations for the equilibrium, and show that they are exact. Our methods ought to apply to a wide variety of Hamiltonian systems possessing an infinite family of Casimirs. We illustrate our theory by a comparison to numerical simulations of Jupiter's Great Red Spot.
|Item Type:||Thesis (Dissertation (Ph.D.))|
|Degree Grantor:||California Institute of Technology|
|Division:||Physics, Mathematics and Astronomy|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||17 October 1990|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Imported from ETD-db|
|Deposited On:||02 Aug 2007|
|Last Modified:||26 Dec 2012 02:55|
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