Is there an ultimate order in chaos?

[Alan McDougall]

Is there order in chaos?

 

Physicists can't with total exactitude solve the set of equations that describes the behavior of fluids, from water to air to all other liquids and gases. In fact,it isn't known whether a general solution of the so-called Navier-Stokes equations exists, or, if there is a solution, whether it describes fluids everywhere, or contains inherently unknowable points called singularities. As a consequence, the nature of chaos is not well understood. Thus I pose the question do physicists and mathematicians wonder, if the weather or other chaotic systems merely very difficult to predict, or inherently unpredictable? Does turbulence/chaos transcend mathematical description, or will it all make comlete sense one day if tackled with the right math and supercomputers?

 

http://www.efunda.co...vier_stokes.cfm

 

Navier-Stokes equation:

 

The motion of a non-turbulent, Newtonian fluid is governed by the

Edited September 18, 2012 by Alan McDougall

[Ronald Hyde]

Search for self organizing systems. Tons of material. Serious subject.