| Boussinesq方程组弱解的L~2衰减 |
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| 引用本文： | 刘颖,李军,杜健,詹环.Boussinesq方程组弱解的L~2衰减[J].数学的实践与认识,2012,42(22):198-205. |
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| 作者姓名： | 刘颖 李军 杜健 詹环 |
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| 作者单位： | 装甲兵工程学院基础部数学室,北京,100072 |
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| 摘 要： | 利用付立叶分解方法(Fourier splitting method)研究Boussinesq方程组Cauchy问题弱解的L~2衰减.
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| 关 键 词： | Boussinesq方程组 L~2衰减 Fourier变换 |
L2 Decay for Weak Solutions of the Boussinesq Equations |
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| LIU Ying
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LI Jun
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DU Jian
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ZHAN Huan.L2 Decay for Weak Solutions of the Boussinesq Equations[J].Mathematics in Practice and Theory,2012,42(22):198-205. |
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| Authors: | LIU Ying LI Jun DU Jian ZHAN Huan |
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| Institution: | (Fundamental Department of the Academy of Armored Force Engineering,Beijing 100072,China) |
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| Abstract: | We first get the uniform L~2 decay of the smooth solutions.Then we can actually obtain the L~2 decay for weak solutions by passing limit of the approximate sequences of solutions.The main tool used is the Fourier splitting method.We first consider the largetime behavior of the temperature of the Boussinesq equations,based on which we can obtain, under some assumption of the decay rate of given f,the large time behavior of the velocity vector field. |
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| Keywords: | boussinesq equations L~2 decay fourier splitting method |
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