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CATEGORIES:The Archimedeans (CU Mathematical Society)
SUMMARY:Mathematics of Turbulent Flows: A Million Dollars
Problem! - Edriss S. Titi (University of Cambridge
)
DTSTART;TZID=Europe/London:20191018T190000
DTEND;TZID=Europe/London:20191018T200000
UID:TALK132277AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/132277
DESCRIPTION:Turbulence is a classical physical phenomenon that
has been a great challenge to mathematicians\, ph
ysicists\, engineers and computational scientists.
In the end of the last century\, chaos theory was
developed to explore similar phenomena that occur
in a wide range of applied sciences\, but the eye
s have always been on the big ball – Turbulence. C
ontrolling and identifying the onset of turbulence
have a great economic and industrial impact rangi
ng from reducing the drag on cars and commercial a
irplanes to better design of fuel engines\, weathe
r and climate predictions.\n It is widely accepted
by the scientific community that turbulent flows
are governed by the Navier-Stokes equations\, for
large Reynolds numbers\, i.e. when the nonlinear a
dvective effects dominate the linear viscous effec
ts (internal friction within the fluids) in the Na
vier-Stokes equations. As such\, the Navier-Stokes
equations form the main building block in any flu
id model\, in particular in global climate models.
Whether the solutions to the three-dimensional Na
vier-Stokes equations remain smooth\, indefinitely
in time\, is one of the most challenging mathemat
ical problems. Therefore\, by the turn of the mill
ennium\, it was identified by the Clay Institute o
f Mathematics as one of the seven most outstanding
Millennium Problems in mathematics\, and it has s
et one million US dollars prize for solving it. No
tably\, reliable computer simulations of turbulent
flows is way out of reach even for the most power
ful state-of-the art supercomputers. In this talk
I will describe\, using layman language\, the main
challenges that the different scientific communit
ies are facing while attempting to attack this pro
blem. In particular\, I will emphasize the mathema
tical point of view of turbulence.
LOCATION:MR2\, Centre for Mathematical Sciences
CONTACT:Valentin Hübner
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