Beauty of Equations?

[JurgenRo]

(11-21-2016 01:26 PM)Ángel Martin Wrote:  Attractive they may not be but to me the superb pinnacle is captured by the Maxwell equations, followed shortly by the Navier-Stokes equations... this is of course just a personal bias.

Agreed! Even though Nature seems to be nonlinear, Electrodynamics is fully captured by the pure linear Maxwell Equations. Also, The Navier-Stokes Equations of Fluid Dynamics are "just" seminlinear. However, the proof of the global existence and uniqueness of smooth solutions to the 3D Navier-Stokes Equation is still lacking, it's a Millenium-Problem! Long time ago I did my math. PhD Thesis on timewise Approximation of the Stokes-Equations (which is the Navier-Stokes without convecive term and thus it is linear). Learned to love this set of Equations! Has been exciting years :-)