Counting stationary solutions of the Cahn–Hilliard equation by transversality arguments
- 1 January 1995
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 125 (2) , 351-370
- https://doi.org/10.1017/s0308210500028079
Abstract
In this paper we use arguments based on Picard-Fuchs equations and transversality of intersections of level curves to obtain an exact count of the number of stationary solutions of the one-dimensional Cahn-Hilliard equation with a cubic nonlinearity.Keywords
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