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Transport in Fluids.
Colloquium| Speaker: | Albert Fannjiang, UCD |
| Location: | 693 Kerr |
| Start time: | Mon, Oct 5 1998, 4:10PM |
Description
Fluid transport is ubiquitous phenomena ranging from contaminants
transport in ground waters, to magnetic fields activity in plasmas, to
combustive flames propagation in jet engines. Many mechanisms are involved:
convection. reaction, diffusion, compression/expansion,...etc. We will briefly
explain how different transport effects occur and, with more details, survey a
class of simple transport phenomena that arise in moving fluids with, roughly
speaking, repetitive flow structures (periodic, quasi-periodic, or random
stationary). In particular, we will consider long time, large scale transport
and determine the asymptotics of transport from the statistics information of
fluid velocity. We will derive a fairly complete mathematical picture and
indicate various directions in which this understanding can be applied and
generalized.