| 一维黏性Camassa—Holm方程描述的液体-固体的相互作用 |
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| 引用本文： | 宗西举,王中华.一维黏性Camassa—Holm方程描述的液体-固体的相互作用[J].山东大学学报(自然科学版),2011(2):34-38,44. |
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| 作者姓名： | 宗西举 王中华 |
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| 作者单位： | 济南大学控制科学与工程学院,山东济南250022 |
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| 基金项目： | 国家自然科学基金资助项目（61074021）;济南大学校博士基金资助项目（XBS0815） |
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| 摘 要： | 讨论一维液体-固体相互作用的模型。利用Banach不动点原理和算子半群理论得到液体一固体相互作用的系统的解是整体存在惟一的。利用能量估计得到系统解的整体存在性，以及在质点固体两侧液体对它的压力渐近消失。
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| 关 键 词： | 一维黏性Camassa—Holm方程 液体-固体相互作用 Banach不动点原理 能量估计 |
Large time behavior for a simplified 1 d viscous Camassa-Holm equation model of fluid-solid interaction |
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| ZONG Xi-ju,WANG Zhong-hua.Large time behavior for a simplified 1 d viscous Camassa-Holm equation model of fluid-solid interaction[J].Journal of Shandong University(Natural Science Edition),2011(2):34-38,44. |
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| Authors: | ZONG Xi-ju WANG Zhong-hua |
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| Institution: | (School of Control Science and Engineering, University of Jinan, Jinan 250022, Shandong, China) |
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| Abstract: | A simple model in one space dimension for the interaction between a fluid and a solid represented by a point mass is considered. By using the semi-group theorem and Banach fixed-point theorem, the existence and uniqueness of the solution to the system is proved. Furthermore, the asymptotic behavior of solutions for integrable data using energy estimates is described. That asymptotically the difference of pressure to both sides of the point mass vanishes is also proved. |
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| Keywords: | one-dimension viscous Camassa-Holm equation fluid-Solid Interaction Banach fixed-point theorem energy estimate |
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