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| Title: | Spikes for the gierer-meinhardt system with many segments of different diffusivities |
| Authors: | Winter, M
Wei, J
Tse, W |
| Keywords: | Pattern formation
Discontinuous diffusion coefficients
Steady-states
Stability |
| Publication Date: | 2008 |
| Publisher: | The Bulletin (N.S.) |
| Citation: | Bulletin of the Institute of Mathematics Academia Sinica New Series. 4 (1) 567-584 |
| Abstract: | We rigorously prove results on spiky patterns for the
Gierer-Meinhardt system with a large number of jump
discontinuities in the diffusion coefficient of the inhibitor. Using
numerical computations in combination with a Turing-type instability
analysis, this system has been investigated by Benson, Maini and
Sherratt. |
| URI: | http://bura.brunel.ac.uk/handle/2438/2976 |
| ISSN: | 0304-9825 |
| Appears in Collections: | Mathematics
School of Information Systems, Computing and Mathematics Research Papers
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