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SUMMARY:Mathematics of Turbulent Flows: A Million Dollars Problem! - Edris
 s S. Titi (University of Cambridge)
DTSTART:20191018T180000Z
DTEND:20191018T190000Z
UID:TALK132277@talks.cam.ac.uk
CONTACT:Valentin Hübner
DESCRIPTION:Turbulence is a classical physical phenomenon that has been a 
 great challenge to mathematicians\, physicists\, engineers and computation
 al scientists. In the end of the last century\, chaos theory was developed
  to explore similar phenomena that occur in a wide range of applied scienc
 es\, but the eyes have always been on the big ball – Turbulence. Control
 ling and identifying the onset of turbulence have a great economic and ind
 ustrial impact ranging from reducing the drag on cars and commercial airpl
 anes to better design of fuel engines\, weather and climate predictions.\n
  It is widely accepted by the scientific community that turbulent flows ar
 e governed by the Navier-Stokes equations\, for large Reynolds numbers\, i
 .e. when the nonlinear advective effects dominate the linear viscous effec
 ts (internal friction within the fluids) in the Navier-Stokes equations. A
 s such\, the Navier-Stokes equations form the main building block in any f
 luid model\, in particular in global climate models. Whether the solutions
  to the three-dimensional Navier-Stokes equations remain smooth\, indefini
 tely in time\, is one of the most challenging mathematical problems. There
 fore\, by the turn of the millennium\, it was identified by the Clay Insti
 tute of Mathematics as one of the seven most outstanding Millennium Proble
 ms in mathematics\, and it has set one million US dollars prize for solvin
 g it. Notably\, reliable computer simulations of turbulent flows is way ou
 t of reach even for the most powerful state-of-the art supercomputers. In 
 this talk I will describe\, using layman language\, the main challenges th
 at the different scientific communities are facing while attempting to att
 ack this problem. In particular\, I will emphasize the mathematical point 
 of view of turbulence.
LOCATION:MR2\, Centre for Mathematical Sciences
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