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http://bura.brunel.ac.uk/handle/2438/2976| 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 |
| Issue 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: | Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 44-gmdis-njumps.pdf | 576.61 kB | Adobe PDF | View/Open |
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