The primary focus of the proposed CRG is the mathematical modelling of
complex and classical geophysical fluid dynamics.
The dynamics of complex geophysical fluids is a key element in the
mechanics of many geological phenomena such as volcanic eruptions, the
slides of mud and rock, and snow avalanches. Understanding the behaviour
of such fluids is important for identifying associated hazards to humans
as well as for establishing economic resource potential. For example,
choices for offshore oil drilling sites are determined largely by the
deposition of biological material carried by submarine avalanches, known
as turbidites. The way in which such geological fluids arise and evolve
is generally poorly understood both from the mathematical and physical
perspective, and a comprehensive theoretical framework must draw from
fundamental principles of fluid and solid mechanics.
Surface waves on the ocean pose natural hazard in extreme circumstances,
as illustrated by the December 2004 tsunami and the possibility that
rogue waves might sink ships and flood offshore oildrilling platforms.
On small scales,
recent numerical, asymptotic, and rigorous mathematical results
have shown the existence of threedimensional localised
gravitycapillary waves in deep water. Similar to surface waves,
internal waves move due to buoyancy forces but can propagate
vertically within a fluid whose effective density
decreases with height. These waves
redistribute energy and momentum in the atmosphere and ocean,
contributing to the circulation patterns and weather around the globe.
Both the problems of complex fluids and of waves
demand an interdisciplinary approach that brings together
experts from mathematics, physics and geophysics. In particular, in
current studies of many classes of problems involving complex geological
fluids and waves, the number, variety and complexity of observational
data collected are rapidly increasing. Understanding of such diverse
and rich data continually demands broad collaborations among
geoscientists, experimental fluid dynamicists and theoreticians. In
particular, the solution of many such problems now requires the
development of new mathematical tools and algorithms ranging from
computational methods and statistics to formal mathematics and
asymptotics.
We plan to split up the period of the CRG into themes.
 Complex Geophysical Fluids
 Gravity currents in stratified fluid
 Gravity wave dynamics
Weekend workshops:
Other activities:
CRG Retreat
May 1011, 2008
Hume Hotel, Nelson
Richard Craster
(Imperial College), January 2007  January 2008
Bud Homsy
(UC Santa Barbara), September 2006  December 2006
Tom Peacock
(MIT), January 2008  July 2008
Jun Zhang
(NYU), December 2007
Gary Glatzmaier
(UCSC), September 2008  December 2008
Wojtek Dziembowski
(Copernicus Astronomical Centre), August 2008  September 2008
Jim McElwaine
(Cambridge), February 2008
Nick Hill
(Glasgow), January 2008
Xiaoyu Luo
(Glasgow), January 2008
