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Hokkaido University Preprint Series in Mathematics >
ON LARGE TIME BEHAVIOR OF GROWTH BY BIRTH AND SPREAD
| Title: | ON LARGE TIME BEHAVIOR OF GROWTH BY BIRTH AND SPREAD |
| Authors: | Giga, Yoshikazu Browse this author |
| Issue Date: | 1-Feb-2018 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1107 |
| Start Page: | 1 |
| End Page: | 20 |
| Abstract: | This is essentially a survey paper on a large time behavior of solutions of some simple birth and spread models to describe growth of crystal surfaces. The models discussed here include level-set flow equations of eikonal or eikonal-curvature flow equations with source terms. Large time asymptotic speed called growth rate is studied. As an application, a simple proof is given for asymptotic profile of crystal grown by anisotropic eikonal-curvature flow. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68261 |
| 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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