| 具浓度相关迁移率和梯度相关位势的3维Cahn-Hilliard方程 |
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| 引用本文： | 黄锐,曹扬. 具浓度相关迁移率和梯度相关位势的3维Cahn-Hilliard方程[J]. 数学研究及应用, 2011, 31(3): 402-410. DOI: 10.3770/j.issn:1000-341X.2011.03.003 |
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| 作者姓名： | 黄锐 曹扬 |
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| 作者单位： | 华南师范大学数学科学学院, 广东 广州 510631;大连理工大学数学科学学院, 辽宁 大连 116024 |
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| 基金项目： | 国家自然科学基金(Grant No.11001103),高等学校博士学科点专项科研基金(Grant No.200801831002),中国博士后基金(Grant No.20100481229),中央高校基本科研业务费专项资金资助. |
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| 摘 要： | In this paper we investigate the initial boundary value problem of Cahn-Hilliard equation with concentration dependent mobility and gradient dependent potential.By the energy method and the theory of Campanato spaces,we prove the existence and the uniqueness of classical solutions in 3-dimensional space.
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| 关 键 词： | Cahn-Hilliard equation concentration dependent mobility gradient dependent potential. |
| 收稿时间： | 2011-02-25 |
| 修稿时间： | 2011-04-22 |
3-Dimensional Cahn-Hilliard Equation with Concentration Dependent Mobility and Gradient Dependent Potential |
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| Rui HUANG and Yang CAO. 3-Dimensional Cahn-Hilliard Equation with Concentration Dependent Mobility and Gradient Dependent Potential[J]. Journal of Mathematical Research with Applications, 2011, 31(3): 402-410. DOI: 10.3770/j.issn:1000-341X.2011.03.003 |
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| Authors: | Rui HUANG and Yang CAO |
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| Affiliation: | 1. School of Mathematical Sciences, South China Normal University, Guangdong 510631, P. R. China
2. School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China |
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| Abstract: | In this paper we investigate the initial boundary value problem of Cahn-Hilliard equation with concentration dependent mobility and gradient dependent potential. By the energy method and the theory of Campanato spaces, we prove the existence and the uniqueness of classical solutions in 3-dimensional space. |
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| Keywords: | Cahn-Hilliard equation concentration dependent mobility gradient dependent potential. |
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