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Hokkaido University Preprint Series in Mathematics >
Phase field model with a variable chemical potential
| Title: | Phase field model with a variable chemical potential |
| Authors: | Tonegawa, Y. Browse this author |
| Issue Date: | 1-Dec-2000 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 509 |
| Start Page: | 1 |
| End Page: | 30 |
| Abstract: | We study some asymptotic behavior of phase interfaces with variable chemical potential under the uniform energy bound. The problem is motivated by the Cahn-Hilliard equation, where one has a control of the total energy and chemical potential. We show that the limit interface is an integral varifold with generalized LP mean curvature. The convergence of interfaces as c -+ 0 is in the Hausdorff distance sense. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69259 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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