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Bruce Turkington, Professor |
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| Personal Webpage |
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| Office | LGRT 1423K | | Phone | (413) 545-4771 | | Fax | (413) 545-1801 | | Email | turk <at> math.umass.edu | |
| Mailing Address |
| Department of Mathematics and Statistics |
| Lederle Graduate Research Tower |
| University of Massachusetts |
| Amherst, MA 01003-9305 |
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| Courses |
| Ordinary Differential Equations for Scientists and Engineers |
| Math 331.1 (MWF 11:15 - 12:05 pm, LGRT 219) |
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| Partial Differential Equations I |
| Math 731 (MWF 9:05 - 9:55 am, LGRT 1322) | | |
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| Education | | Ph.D. | Stanford University, 1978 |
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| | M.S. | Stanford University, 1976 |
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| | B.S. | University of Victoria, 1974 |
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| Research Interests: Nonlinear PDE, vortex dynamics, statistical theory of coherent structures in turbulence, geophysical fluid dynamics, reduced models of complex systems. |
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| Professor Turkington's research lies at the interface between nonlinear partial differential equations and statistical mechanics. His recent work has focused on applying the techniques of statisical mechanics to modeling coherent structures in two-dimensional turbulence, geophysical fluid flows and other complex systems, such as nonintegrable, nonlinear Schr"odinger equations. For instance, he and his collaborators have shown how the observed zonal jets and vortical spots in the atmosphere of Jupiter arise as equilibrium macrostates in a statistical model, and how the statistical properties of the small-scale potential vorticity flucuations determine the features of the stable, large-scale mean flow. In his current work Turkington is developing general stategies of model reduction for complex systems, such as Hamiltonian systems with many degrees of freedom, by adapting ideas from nonequilibrium statistical mechanics, information theory and optimization. |
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| Selected Publications |
| A. Eisner and B. Turkington, Nonequilibrium statistical behavior of nonlinear Schródinger equations. Physica 213, 85-97, 2006. |
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| R.S. Ellis, R. Jordan, P. Otto and B. Turkington, A statistical approach to the asymptotic behavior of a generalized class of nonlinear Schródinger equations. Commun. Math. Phys. 244, 187-208, 2004. |
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| R.S. Ellis, K. Haven and B. Turkington, Nonequivalent statistical equilibrium ensembles and refined stability theorems for most probable flows. Nonlinearity 15, 239-255, 2002. |
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| B. Turkington, A. Majda, K. Haven and M. DiBattista, Statistical equilibrium predictions of the jets and spots on Jupiter. Proc. Nat. Acad. Sci. 98, 12346-12350, 2001. |
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| R.S. Ellis, K. Haven and B. Turkington, Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles. J. Stat. Phys. 101, 999-1064, 2000. |
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| B. Turkington, Statistical equilibrium measures and coherent states in two-dimensional turbulence. Commun. Pure Appl. Math. 52, 781-809, 1999. |
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