PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Jinchao Xu.

Title:Stability analysis of stationary solutions for the Cahn-Hilliard Equation *
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Peter Howard (TAMU)
Abstract:
I will discuss recent results on the stability of stationary solutions for the Cahn-Hilliard equation in $\mathbb{R}^d$, $d \ge 1$. For the case $d = 1$, there are precisely three types of non-constant bounded stationary solutions, periodic solutions, pulse-type (reversal) solutions, and monotonic transition fronts. These solutions can be categorized as follows: the periodic and reversal solutions are both spectrally unstable, while the transition fronts are nonlinearly (phase-asymptotically) stable. The cases $d \ge 2$ are more complicated, and I will discuss what is known about stationary solutions in these cases. Particular emphasis will be placed on planar transition front (or "kink") solutions.

Room Reservation Information

Room Number:MB106
Date:10 / 12 / 2007
Time:03:35pm - 04:25pm