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Counting stationary solutions of the Cahn–Hilliard equation by transversality arguments

Published online by Cambridge University Press:  14 November 2011

M. Grinfeld  and
A. Novick-Cohen
M. Grinfeld
Affiliation:
Department of Engineering Mathematics, University of Bristol, Queen's Building, University Walk, Bristol BS8 1TR, U.K.
A. Novick-Cohen
Affiliation:
Department of Mathematics, Technion-ITT, Haifa, Israel 32000
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 2 , 1995 , pp. 351 - 370
Copyright
Copyright © Royal Society of Edinburgh 1995

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