| Boussinesq方程解的部分正则性 |
| |
| 引用本文： | 李明杰,酒全森.Boussinesq方程解的部分正则性[J].应用数学学报,2007,30(5):936-954. |
| |
| 作者姓名： | 李明杰 酒全森 |
| |
| 作者单位： | 首都师范大学数学科学学院,北京,100037 |
| |
| 摘 要： | 本文考虑Boussinesq方程一类合适弱解的部分正则性.我们先运用广义能量不等式和奇异积分理论得到一些无维量的估计;再通过合适弱解满足的等式,运用迭代技巧,推导出温度场的小性估计;最后由尺度分析(scaling arguments)得到了一类合适弱解的部分正则性.
|
| 关 键 词： | Boussinesq方程 弱解 部分正则性 |
| 修稿时间： | 2007-02-22 |
Partial Regularity Problem of the Boussinesq Equations |
| |
| LI MINGJIE,JIU QUANSEN.Partial Regularity Problem of the Boussinesq Equations[J].Acta Mathematicae Applicatae Sinica,2007,30(5):936-954. |
| |
| Authors: | LI MINGJIE JIU QUANSEN |
| |
| Institution: | School of Mathematical Sciences, Capital Normal University, Beijing 100037 |
| |
| Abstract: | In this paper, we are concerned with the partial regularity of the suitable weak solutions to the three-dimensional incompressible Boussinesq equations. Firstly, based on the generalized energy inequality, we get estimates of some scaled nondimensional quantities. Secondly, we employ the iterative technique to obtain the smallness of some scaled quantities of temperature field. Finally, by scaling arguments we get the partial regularity for the suitable weak solutions. |
| |
| Keywords: | Boussinesq equations weak solutions partial regularity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
