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Darryl D. Holm
Mathematical Modeling and Analysis Theoretical Division
Los Alamos National Laboratory (LANL)
dholm@lanl.gov http://cnls.lanl.gov/~dholm/
James C. McWilliams
Department of Atmospheric Sciences
University of California, Los Angeles
jcm@atmos.ucla.edu
A distinctive difficulty in climatesystem modeling, analysis and prediction is the presence of two or more time scales in the problem. The atmosphere and oceans each support slow Rossby and fast inertiagravity waves, while the characteristic times of atmosphere, oceans, and ice sheets are about a factor of 10 apart. Thus the proper treatment, via slavedvariable and slowmanifold theory of timescale disparity within each subsystem and between subsystems is of the essence. The workshop topics will include
(i) the connection between the slow manifold, averaged descriptions, the quasigeostrophic approximation, and intermediate balanced models;
(ii) models of the coupled oceanatmosphere system; and
(iii) slowmanifold theory. Tools such as asymptotics, averaging, center manifold, inertial manifold, attractors and their approximations are indispensable for dealing with these problems.
Keywords: coupling, ENSO, intermediate models
Monday  Tuesday 
MONDAY,
FEBRUARY
11 All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. 


8:30 am  Coffee and Registration 
Reception Room EE/CS 3176 
9:15 am  Douglas N. Arnold, Robert Gulliver, and Darryl Holm  Welcome and Introduction 
9:30 am  William
K. Dewar Florida State University 
A nonlinear, conceptual midlatitude climate model 
10:30 am  Coffee Break  Reception Room EE/CS 3176 
11:00 am  James
C. McWilliams IGPP, UCLA 

12:00 pm 
Lunch
Break


2:00 pm 
Darryl
D. Holm 
Lagrangian averages, averaged Lagrangians and dimension reduction in modeling GFD turbulence 
3:00 pm 
Second
Chances 
3:00
William K. Dewar 
3:45 pm  Open
Discussion 
C. David Levermore, Moderator 
4:00 pm  IMA
Tea/Reception A variety of appetizers and beverages will be served. 
IMA East, 400 Lind Hall 
TUESDAY,
FEBRUARY
12
All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. 

9:00am  Coffee  Reception Room EE/CS 3176 
9:30 am  Leslie
M. Smith University of Wisconsin 

10:30 am  Coffee Break  Reception Room EE/CS 3176 
11:00 am  Beth
A. Wingate Los Alamos National Laboratory 
The alphamodel of turbulence for GFD applications 
12:00 pm 
Lunch
Break


2:00 pm  Alex
Mahalov Arizona State University 
Fast Singular Oscillating Limits and Global Regularity for the 3D Primitive Equations of Geophysics Slides: pdf postscript 
3:00 pm 
Second
Chances 
3:00
Leslie Smith 
3:45 pm  Open
Discussion 
Darryl D. Holm, Moderator 
WEDNESDAY,
FEBRUARY
13 All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. 

9:00 am  Coffee  Reception Room EE/CS 3176 
9:30 am  David
G. Dritschel University of St Andrews 
An explicit potentialvorticity conserving approach to modelling threedimensional Boussinesq flows 
10:30 am  Coffee Break  Reception Room EE/CS 3176 
11:00 am  Jeroen
Molemaker University of California, Los Angeles 
Unbalanced Instabilities of the Balanced QuasiManifold (tent.) 
12:00 pm 
Lunch
Break


2:00 pm  C.E. Leith Lawrence Livermore Laboratories 
Fast Manifolds 
3:00 pm 
Second
Chances 
3:00
David Dritschel 
3:45 pm  Open
Discussion 
James McWilliams, Moderator 
THURSDAY,
FEBRUARY
14 All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. 

9:00 am  Coffee  Reception Room EE/CS 3176 
9:30 am 
Djoko Wirosoetisno University of Twente 
Nonlinear Averaging in GFD Systems and HigherOrder Balance Dynamics Slides: pdf postscript 
10:30 am  Coffee Break  Reception Room EE/CS 3176 
11:00 am  Jacques
Vanneste University of Edinburgh 
Diracbracket approach to Hamiltonian balanced models 
12:00 pm 
Lunch
Break


2:00 pm 
Vladimir Tseitline Universite P. et M. Curie 
Frontal geostrophic adjustment, slow manifold and nonlinear wave phenomena in 1d rotating shallow water model 
3:00 pm 
Second
Chances 
3:00
Djoko Wirosoetisno 
3:45 pm  Open
Discussion 
C.E. Leith, Moderator 
6:00 pm  Workshop Dinner  Caspian Bistro, 2418 University Ave. S.E. 
FRIDAY,
FEBRUARY
15 All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. 

9:00am  Coffee  Reception Room EE/CS 3176 
9:30 am  C.
David Levermore University of Maryland, College Park 
A Shallow Water Model with Eddy Viscosity for Basins with Varying Bottom Topography 
10:30 am  Coffee Break  Reception Room EE/CS 3176 
11:00 am  Edriss
S. Titi University of California 
Global Wellposedness and LongTerm Dynamics for Certain Geophysical Models 
12:00 pm 
Lunch
Break


2:00 pm 
George R. Sell University of Minnesota 
The Search for El Nino: An Update 
3:00 pm 
Second
Chances 
3:00
C. David Levermore 
3:45 pm  Open
Discussion 
Vladimir Tseitline, Moderator 
Monday  Tuesday 
Name

Department  Affiliation 

Douglas N. Arnold  Institute for Mathematics & its Applications  
William K. Dewar  Oceanography  Florida State University 
Douglas Dokken  Mathematics  University of St. Thomas 
David G. Dritschel  Applied Mathematics  The University of St. Andrews 
Greg Duane  Institute for Mathematics and its Applications  
Robert Gulliver  Institute for Mathematics & its Applications  
Darryl D. Holm  Mathematical Modeling and Analysis Theoretical  Los Alamos National Laboratory 
Michael S. Jolly  Mathematics  Indiana University 
Leonid V. Kalachev  Mathematical Sciences  University of Montana 
John Knox  Biological and Agricultural Eng.  University of Georgia 
C.E. Leith  Lawrence Livermore National Laboratory  
David Levermore  Institute for Physical Sciences & Technology  University of Maryland 
Peter Lynch  Mathematics  Met Eireann 
Alex Mahalov  Mathematics  Arizona State University 
James C. McWilliams  Atmospheric Sciences  University of California, Los Angeles 
Aurelia Minut  Institute for Mathematics and its Applications  
Jeroen Molemaker  Institute of Geophysics & Planetary Physics  University of California, Los Angeles 
John Norbury  University of Oxford  
Vakhtgang Poutkaradze  University of New Mexico  
Fadil Santosa  Institute for Mathematics & its Applications  
Arnd Scheel  Mathematics  University of Minnesota 
Kurt Scholz  Mathematics  University of St. Thomas 
George R. Sell  Mathematics  University of Minnesota 
Michael W. Smiley  Mathematics  Iowa State University 
Leslie Smith  Mechanical Engineering  University of WisconsinMadison 
Edriss Titi  Mathematics  University of California, Irvine 
Vladimir Tseitline  Laboratoire de Meteorologie Dynamique  Universite de P. et M. Curie 
Jacques Vanneste  Mathematics & Statistics  University of Edinburgh 
Beth A. Wingate  Los Alamos National Laboratory  
Djoko Wirosoetisno  Faculty of Applied Mathematics  University of Twente 
Irad Yavneh  Faculty of Computer Science  Technion 
Toshio Yoshikawa  Institute for Mathematics and its Applications 
20012002 IMA Thematic Year on Mathematics in the Geosciences
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