Feb 10, 2000
The Role of Two Length Scales in the Singular Collapse of Euler and Ideal MHD
Robert Kerr, (NCAR)
**
Experimental and numerical evidence is presented for a change in the scaling
of structure functions within the inertial subrange at approximately $\lambda$.
Kinematic arguments based on pressure are given for why longitudinal and
transverse scaling should be the same for $r>\lambda$, but there are no
restrictions for $r<\lambda$. It is speculated that this shift in scaling
could be related to the anisotropy of small scale structures. First vortex
tubes. Then the structure developing around a putative singularity of Euler.
It is shown numerical and by mathematical arguements that the collapse of
the Euler structure must involve two length scales. One goes as
$R\sim(T_c-t)^{1/2}$ and the other as $\rho\sim(T_c-t)$.
**

**
**
Audio for this talk requires sound hardware, and RealPlayer or RealAudio
by RealNetworks.

Begin continuous audio for the whole
talk. (Or, right-click to download the whole audio file.)

To begin viewing slides, click on the first slide below.

Author entry (protected)