J.-P. Eckmann, G. Schneider
Nonlinear Stability of Bifurcating Front Solutions for the 
Taylor-Couette Problem
(264K, postscript, 10 pp)

ABSTRACT.  We consider 
the Taylor-Couette problem 
in an infinitely extended cylindrical domain. 
There exist modulated front solutions which describe the 
spreading of 
the stable Taylor vortices into the region of the 
unstable Couette flow. 
These transient solutions have the form of a 
front-like envelope advancing in the laboratory frame and leaving 
behind 
the stationary, 
spatially periodic Taylor vortices. 
We prove the nonlinear stability 
of these solutions 
with respect to 
small spatially localized perturbations.