For more information about this meeting, contact Jinchao Xu.
| Title: | Stability analysis of stationary solutions for the Cahn-Hilliard Equation * |
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| Seminar: | Computational and Applied Mathematics Colloquium |
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| Speaker: | Peter Howard (TAMU) |
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| Abstract: |
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| 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 |
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| Date: | 10 / 12 / 2007 |
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| Time: | 03:35pm - 04:25pm |
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