Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/515
Title: On the stationary Cahn-Hilliard equation: Interior spike solutions
Authors: Winter, M
Wei, J
Keywords: Spike layers;Weak convergence of measures;Phase transition;Viscosity solution
Issue Date: 1998
Publisher: Elsevier
Citation: Winter, M. and Wei, J. (1998) 'On the stationary Cahn-Hilliard equation: Interior spike solutions', Journal of Differential Equations, 148(2), pp. 231-267. doi:10.1006/jdeq.1998.3479.
Abstract: We study solutions of the stationary Cahn-Hilliard equation in a bounded smooth domain which have a spike in the interior. We show that a large class of interior points (the "nondegenerate peak" points) have the following property: there exist such solutions whose spike lies close to a given nondegenerate peak point. Our construction uses among others the methods of viscosity solution, weak convergence of measures and Liapunov-Schmidt reduction.
URI: http://bura.brunel.ac.uk/handle/2438/515
DOI: https://doi.org/10.1006/jdeq.1998.3479
Appears in Collections:Mechanical and Aerospace Engineering
Dept of Mathematics Research Papers
Mathematical Sciences

Files in This Item:
File Description SizeFormat 
FullText.pdf274.7 kBAdobe PDFView/Open


Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.