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|Title:||Spikes for the gierer-meinhardt system with many segments of different diffusivities|
|Keywords:||Pattern formation;Discontinuous diffusion coefficients;Steady-states;Stability|
|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.|
|Appears in Collections:||Dept of Mathematics Research Papers|
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