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http://bura.brunel.ac.uk/handle/2438/559
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 |
Issue 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: | Dept of Mathematics Research Papers Mathematical Sciences |
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10-gimei7.pdf | 231.42 kB | Adobe PDF | View/Open |
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