| 关于一类曲线收缩流的保积性和能量衰减性的研究 |
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| 引用本文： | 冯兆永,徐士河.关于一类曲线收缩流的保积性和能量衰减性的研究[J].中山大学学报(自然科学版),2009,48(6). |
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| 作者姓名： | 冯兆永 徐士河 |
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| 作者单位： | 1. 中山大学数学与计算科学学院,广东,广州,510275
2. 肇庆学院数学与信息科学学院,广东,肇庆,526061 |
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| 基金项目： | 中山大学青年教师科研启动基金资助项目 |
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| 摘 要： | 对一类带接触角的曲线收缩流的性质进行了研究。利用Garcke和Novick-Cohen的能量定义，证明了其具有保积性和能量衰减性。稳态解在能量达到最小值时取得。
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| 关 键 词： | 曲线收缩流 三重接点 Young's law FENG |
| 收稿时间： | 2008-12-30; |
On the Area-Preserving and Energy-Decaying Properties for a Class of Curve Shortening Flows |
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| FENG Zhaoyong,XU Shihe.On the Area-Preserving and Energy-Decaying Properties for a Class of Curve Shortening Flows[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2009,48(6). |
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| Authors: | FENG Zhaoyong XU Shihe |
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| Institution: | (1. School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou 510275, China;2. Department of Mathematics, Zhaoqing University, Zhaoqing 526061, China) |
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| Abstract: | The properties of a class of curve shortening flows with contact angle is studied. With the energy defined by Garcke and Novick-Cohen, it is proved that they have the area-preserving and energy-decaying properties. The stationary solution is achieved at the minimal energy. |
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| Keywords: | Young's law |
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