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Hokkaido University Preprint Series in Mathematics >
Diffused interface with the chemical potential in the Sobolev space
| Title: | Diffused interface with the chemical potential in the Sobolev space |
| Authors: | Tonegawa, Yoshihiro Browse this author |
| Issue Date: | 2005 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 714 |
| Start Page: | 1 |
| End Page: | 23 |
| Abstract: | We study a singular perturbation problem arising in the scalar two-phase field model. Given a sequence of functions with a uniform bound on the surface energy, assume the Sobolev norms W1,p of the associated chemical potential fields are bounded uniformly, where p > n 2 and n is the dimension of the domain. We show that the limit interface as ε tending to zero is an integral varifold with the sharp integrability condition on the mean curvature. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69519 |
| 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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