- 00-186 J.-P. Eckmann, G. Schneider
- Nonlinear Stability of Bifurcating Front Solutions for the
(264K, postscript, 10 pp)
Apr 17, 00
(auto. generated ps),
of related papers
Abstract. We consider
the Taylor-Couette problem
in an infinitely extended cylindrical domain.
There exist modulated front solutions which describe the
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
spatially periodic Taylor vortices.
We prove the nonlinear stability
of these solutions
with respect to
small spatially localized perturbations.