| Abstract: |
| When parameters in the FitzHugh-Nagumo equations change in a certain coordinate fashion, solutions of
this system develop sharp jumps as a singular limit. Through $\Gamma$-convergence, the original variational problems
become some geometric variational problems. We focus on the latter problems in this talk.
We report our recent work on existence, multiplicity and stability of disc-shaped
solutions in ${\bf R}^N$. In addition the possibility of traveling wave for the geometric variational problems
is discussed. |
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