Subject: Maxima by Example: Ch. 7, 8, 9, 10, and 11
From: Dan Hatton
Date: Wed, 6 May 2009 12:10:21 +0100 (BST)
On Sun, 3 May 2009, Robert Dodier wrote:
> Broad interest in nonlinear dynamics might have peaked around
> 1995. One professor told me around that time, "I was doing nonlinear
> dynamics before it was popular and I'll still be doing it when it is
> unpopular again." If anyone knows what's happening in the nonlinear
> world I'd be interested to hear about it.
By "nonlinear dynamics" do you mean "trying to solve theoretical
physics problems that contain non-linear terms"? If so, there's a lot
of activity in fields I tend to read about, e.g.
- climate modelling (nice review in Scaife et al., Phys. World 20(2):
20-25, Feb. 2007)
- the turbulent version of the Stefan problem (growth and ablation of
sea ice, recently Eisenman and Wettlaufer,
Proc. Na?l. Acad. Sci. United States Am. 106(1): 28-32, Jan. 2009,
doi:10.1073/pnas.0806887106)
- convection-controlled heat transfer at solid walls (iceberg melting,
recently Wells and Worster, J. Fluid Mech. 609: 111-137, Aug. 2008,
doi:10.1017/S0022112008002346)
- advective heat and solute transport in groundwater, particularly
when coupled with buoyancy-driven convection (recently, much of
Phillips, Geological Fluid Dynamics: Sub-Surface Flow and Reactions,
Cambridge University Press, Cambridge, 2009)
I guess this list tends to confirm what dlakelan said about `more of a
tool than a topic in itself'.
--
Regards,
Dan