| 三维Boussinesq方程在有界区域的爆破性准则(英文) |
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| 引用本文： | 李林锐,王术.三维Boussinesq方程在有界区域的爆破性准则(英文)[J].河南科学,2010,28(9):1065-1070. |
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| 作者姓名： | 李林锐 王术 |
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| 作者单位： | 北京工业大学,应用数理学院,北京,100124 |
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| 基金项目： | National Sciences Foundation of China（10771009）; Beijing Science Foundation（1082001） |
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| 摘 要： | 研究了三维Boussinesq方程在带有光滑边界条件下有界区域的爆破性问题,由于耗散项和边界的影响,证实了方程中速度项的梯度控制其解的爆破性,并且速度场比温度函数起着更重要的作用.
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| 关 键 词： | Boussinesq方程 有界区域 爆破性准则 |
On Blow-up Criterion for 3D Boussinesq Equations in Bounded Domain |
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| Li Linrui,Wang Shu.On Blow-up Criterion for 3D Boussinesq Equations in Bounded Domain[J].Henan Science,2010,28(9):1065-1070. |
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| Authors: | Li Linrui Wang Shu |
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| Institution: | (College of Applied Sciences,Beijing University of Technology,Beijing 100124,China) |
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| Abstract: | In this paper the problem of blow-up of smooth solutions for the 3-D Boussinesq equations over a bounded domain with smooth boundary is considered.Owing to the diffusion and the boundary effects,it shows that the maximum norm of the gradient of velocity controls the blow-up of the solutions,the velocity plays a more dominant role than the scalar temperature function. |
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| Keywords: | Boussinesq equations bounded domain blow-up criterion |
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