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Statistical mechanics of two-dimensional Euler equations and Jupiter's great red spot

Citation

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

Abstract

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
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Cross, Michael Clifford
Thesis Committee:
  • Unknown, Unknown
Defense Date:17 October 1990
Record Number:CaltechETD:etd-07182007-073652
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-07182007-073652
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2921
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:02 Aug 2007
Last Modified:26 Dec 2012 02:55

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