Partial differential equations and geophysical fluid dynamics

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Workshop theme

The field of partial differential equations applicable to geophysical fluid dynamics has recently seen an extraordinary development, as in recent years there have been very important advances in the understanding of the fundamental governing systems of equations, and of geophysically relevant asymptotic approximations to them. This has been the result of using new mathematical tools from, for instance, probability, optimal transport and geometric measure theory.

In this workshop, we aim to bring together researchers with an interest in the rigorous theory of the governing equations and asymptotic approximations to them, and those who are applying these equations to understand and model geophysical flows. The aim is to aid the understanding of how to exploit the results in explaining geophysical phenomena and in improving model design; and to suggest ways in which the mathematical theory could be most usefully extended.

Timetable

Monday 2nd December 2013
08:30 to 09:05	Registration	No Room Required
09:05 to 09:15	Welcome from Christie Marr (INI Deputy Director)	No Room Required
09:15 to 10:15	Isabelle Gallagher Université Paris 7 - Denis-Diderot Trapping of Rossby waves in the equatorial betaplane model	Room 1
10:15 to 11:00	John Gibbon Imperial College London Rescaled vorticity moments in the 3D Navier-Stokes equations	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:15	John Methven University of Reading Recent observations of mesoscale structures in intense cyclones	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:45	Peter Bartello McGill University Between quasigeostrophic and stratified turbulence	Room 1
14:45 to 15:30	Madalina Petcu Université de Poitiers Exponential Decay of the Power Spectrum and Finite Dimensionality for Solutions of the Three Dimensional Primitive Equations	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 16:45	David Straub McGill University Energy cascades in the baroclinic ocean wind-driven double gyre problem	Room 1
17:00 to 18:00	Welcome Drinks Reception	No Room Required

Tuesday 3rd December 2013
09:15 to 10:15	Edriss Titi University of California, Irvine and Weizmann Institute of Science Mathematical Study of Certain Geophysical Models: Global Regularity and Finite-time Blowup Results	Room 1
10:15 to 11:00	Roger M. Temam Indiana University Change of phase for the humid atmosphere	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:15	Lyuba Chumakova University of Edinburgh Leaky lid: new dissipative modes in the troposphere	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:45	Gavin Esler University College London Adaptive stochastic trajectory modelling of transport in geophysical flows	Room 1
14:45 to 15:30	Jacques Vanneste University of Edinburgh Modelling the interactions of near-inertial waves and vortical motion in the ocean	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 16:45	Steve Tobias University of Leeds Direct Statistical Simulation of Jet Formation in Local and Global Geometries	Room 1

Wednesday 4th December 2013
09:15 to 10:15	Slice models	Room 1
10:15 to 11:00	Johannes Zimmer University of Bath From simple particle models to PDE dynamics	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:15	Brad Marston Brown University Direct Statistical Simulation of a Two-Layer Primitive Equation Model	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:45	Djoko Wirosoetisno Durham University Navier-Stokes equations on a rotating sphere	Room 1
14:45 to 15:30	Beth Wingate University of Exeter The influence of fast waves and fluctuations on the evolution of three slow solutions of the Boussinesq equations	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 16:45	Vladimir Zeitlin Laboratoire de Météorologie Dynamique (LMD-ENS) Resonant phenomena in the wave dynamics in the presence of boundaries in GFD	Room 1
19:30 to 22:00	Conference Dinner at Cambridge Union Society hosted by Cambridge Dining Company	No Room Required

Thursday 5th December 2013
09:15 to 10:15	Mike Cullen Met Office Use of the semi-geostrophic model in understanding large-scale atmosphere and ocean flows	Room 1
10:15 to 11:00	Mikhail Feldman University of Wisconsin-Madison Lagrangian solutions for semigeostrophic system in physical space	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:15	Adrian Tudorascu West Virginia University Renormalized relaxed Lagrangian solutions for SG in physical space	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:45	Marcel Oliver Jacobs University Bremen Balance relations for rotating fluid flow	Room 1
14:45 to 15:30	Sergiy Vasylkevych Jacobs University Bremen Generalized Large Scale Semigeostrophic Equations: geometric structure and global well-posedness	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 16:45	Beatrice Pelloni University of Reading The semi-geostrophic system for large-scale atmospheric flows	Room 1

Friday 6th December 2013
09:00 to 09:45	Geoffrey Vallis University of Exeter The Range of Planetary Circulations Described by the Dry Primitive Equations	Room 1
09:45 to 10:30	Ian Roulstone University of Surrey Differential Geometry of the Semi-Geostrophic and Euler Equations	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 11:45	Onno Bokhove University of Leeds On Time Integration and the Use of Clebsch Variables in Shallow Water Equations	Room 1
11:45 to 12:30	Volodya Rubtsov Université d'Angers Monge-Ampère equations: geometry, invariants, and applications in 3D meteorological models	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required

Speakers

Peter Bartello McGill University
Onno Bokhove
Lyuba Chumakova University of Edinburgh
Mike Cullen Met Office
Gavin Esler University College London
Mikhail Feldman University of Wisconsin-Madison
Isabelle Gallagher Université Paris 7 - Denis-Diderot
John Gibbon Imperial College London
Brad Marston Brown University
John Methven University of Reading
Marcel Oliver Jacobs University Bremen
Beatrice Pelloni University of Reading
Madalina Petcu Université de Poitiers
Ian Roulstone University of Surrey
Volodya Rubtsov Université d'Angers
David Straub McGill University
Roger M. Temam Indiana University
Edriss Titi University of California, Irvine and Weizmann Institute of Science
Steve Tobias University of Leeds
Adrian Tudorascu West Virginia University
Geoffrey Vallis University of Exeter
Jacques Vanneste University of Edinburgh
Sergiy Vasylkevych Jacobs University Bremen
Beth Wingate Los Alamos National Laboratory
Djoko Wirosoetisno University of Durham
Vladimir Zeitlin
Johannes Zimmer University of Bath

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Partial differential equations and geophysical fluid dynamics

Workshop theme

Timetable

Speakers

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