| Van der Waals型流体相变问题的渐近稳定性 |
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| 引用本文： | 袁小聪,陈亚洲,施小丁.Van der Waals型流体相变问题的渐近稳定性[J].北京化工大学学报(自然科学版),2010,37(1):140-143. |
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| 作者姓名： | 袁小聪 陈亚洲 施小丁 |
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| 作者单位： | 北京化工大学 理学院， 北京 100029 |
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| 摘 要： | 研究了van der Waals流体动力学方程组,通过引入人工黏性和周期边界条件,给出了此类流体方程组解的渐近稳定性。计算了带人工黏性的定常解问题,通过局部解的存在唯一性分析和先验估计,证明了定常解在全局范围内的渐近稳定性。
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| 关 键 词： | 流体 定常问题 渐近稳定性 能量方法 |
| 收稿时间： | 2009-07-06 |
Asymptotic stability of the solution of a model system for van der Waals fluids |
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| YUAN XiaoCong,CHEN YaZhou,SHI XiaoDing.Asymptotic stability of the solution of a model system for van der Waals fluids[J].Journal of Beijing University of Chemical Technology,2010,37(1):140-143. |
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| Authors: | YUAN XiaoCong CHEN YaZhou SHI XiaoDing |
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| Institution: | School of Science, Beijing University of Chemical Technology, Beijing 100029, China |
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| Abstract: | A model system of van der Waals fluids has been investigated,and the asymptotic stability of the solution has been established for a periodic boundary value problem with artificial viscosity.A solution of steady-state periodic boundary value problem has also been derived.By means of the existence and uniqueness of the local solution and the priori estimates,the steady-state solution is shown to have asymptotic stability. |
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| Keywords: | van der Waals fluids steady-state problem asymptotic stability energy method |
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