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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Winter, M | - |
dc.contributor.author | Wei, J | - |
dc.coverage.spatial | 42 | en |
dc.date.accessioned | 2009-01-20T17:53:43Z | - |
dc.date.available | 2009-01-20T17:53:43Z | - |
dc.date.issued | 2007 | - |
dc.identifier.citation | Methods and Applications of Analysis. 14 (2) 119-164 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/2970 | - |
dc.description.abstract | We consider the Gierer-Meinhardt system in R^1. where the exponents (p, q, r, s) satisfy 1< \frac{ qr}{(s+1)( p-1)} < \infty, 1 <p < +\infty, and where \ep<<1, 0<D<\infty, \tau\geq 0, D and \tau are constants which are independent of \ep. We give a rigorous and unified approach to show that the existence and stability of N-peaked steady-states can be reduced to computing two matrices in terms of the coefficients D, N, p, q, r, s. Moreover, it is shown that N-peaked steady-states are generated by exactly two types of peaks, provided their mutual distance is bounded away from zero. | en |
dc.format.extent | 361308 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Project Euclid | en |
dc.subject | Stability | en |
dc.subject | Multiple-peaked solutions | en |
dc.subject | Singular perturbations | en |
dc.subject | Turing's instability | en |
dc.title | Existence, classification and stability analysis of multiple-peaked solutions for the gierer-meinhardt system in R^1 | en |
dc.type | Research Paper | en |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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42-Npeak1d8.pdf | 352.84 kB | Adobe PDF | View/Open |
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