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| Title: | On The Two Dimensional Gierer-Meinhardt system with strong coupling |
| Authors: | Winter, M
Wei, J |
| Keywords: | Pattern Formation, Mathematical Biology,
Singular Perturbation , Strong Coupling |
| Publication Date: | 1999 |
| Publisher: | SIAM |
| Citation: | SIAM J Math Anal 30 (1999), 1241-1263 |
| Abstract: | We construct
solutions with
a single interior condensation point
for the
two-dimensional
Gierer-Meinhardt
system with strong coupling.
The condensation point is
located at a nondegenerate critical point of the diagonal part of the
regular part of the Green's function for -\Delta +1 nder the Neumann
boundary condition.
Our method is based on Liapunov-Schmidt reduction for a system of elliptic equations. |
| URI: | http://bura.brunel.ac.uk/handle/2438/559 |
| Appears in Collections: | Mathematics
School of Information Systems, Computing and Mathematics Research Papers
|
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