Brunel University Research Archive (BURA) >
Research Areas >
Mechanical and Aerospace Engineering >

Please use this identifier to cite or link to this item:

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
Publication Date: 1998
Publisher: Elsevier
Citation: J. Differential Equations 148: 231-267
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.
Appears in Collections:Mathematical Science
Mechanical and Aerospace Engineering
Dept of Mathematics Research Papers

Files in This Item:

File Description SizeFormat
7-int13.pdf274.7 kBAdobe PDFView/Open

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