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DC Field | Value | Language |
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dc.contributor.author | Winter, M | - |
dc.contributor.author | Wei, J | - |
dc.coverage.spatial | 23 | en |
dc.date.accessioned | 2007-01-15T12:51:32Z | - |
dc.date.available | 2007-01-15T12:51:32Z | - |
dc.date.issued | 2001 | - |
dc.identifier.citation | Winter, M. and Wei, J. (2001) 'Solutions for the Cahn-Hilliard Equation With Many Boundary Spike Layers', Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 131(1), pp. 185-204. doi:10.1017/S0308210500000834. | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/519 | - |
dc.description.abstract | In this paper we construct new classes of stationary solutions for the Cahn-Hilliard equation by a novel approach. One of the results is as follows: Given a positive integer K and a (not necessarily nondegenerate) local minimum point of the mean curvature of the boundary then there are boundary K-spike solutions whose peaks all approach this point. This implies that for any smooth and bounded domain there exist boundary K-spike solutions. The central ingredient of our analysis is the novel derivation and exploitation of a reduction of the energy to finite dimensions (Lemma 3.5), where the variables are closely related to the peak loations. | en |
dc.format.extent | 213078 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Cambridge University Press | en |
dc.subject | Nonlinear Elliptic Equations | en |
dc.subject | Phase Transition | en |
dc.title | Solutions for the Cahn-Hilliard Equation With Many Boundary Spike Layers | en |
dc.type | Research Paper | en |
dc.identifier.doi | https://doi.org/10.1017/s0308210500000834 | - |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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