| GEVREY CLASS REGULARITY AND APPROXIMATE INERTIAL MANIFOLDS FOR THE NEWTON-BOUSSINESQ EQUATIONS |
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| 作者姓名： | Guo Boling Wang Bixiang |
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| 摘 要： | §１．ＩｎｔｒｏｄｕｃｔｉｏｎＡｐｐｒｏｘｉｍａｔｅｉｎｅｒｔｉａｌｍａｎｉｆｏｌｄｓａｒｅｒｅｌａｔｅｄｔｏｔｈｅｓｔｕｄｙｏｆｌｏｎｇｔｉｍｅｂｅｈａｖｉｏｕｒｏｆｓｏｌｕｔｉｏｎｓｏｆｄｉｓｉｐａｔｉｖｅｐａｒｔｉａｌｄｉｆｅｒｅｎｔｉａｌｅｑ...
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| 关 键 词： | 正则性 全局吸引子 近似惯性流形 牛顿-泊松函数 偏微分方程 |
| 收稿时间： | 1995/8/26 0:00:00 |
| 修稿时间： | 1997/1/27 0:00:00 |
GEVREY CLASS REGULARITY AND APPROXIMATE INERTIAL MANIFOLDS FOR
THE NEWTON-BOUSSINESQ EQUATIONS |
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| Guo Boling,Wang Bixiang.GEVREY CLASS REGULARITY AND APPROXIMATE INERTIAL MANIFOLDS FOR THE NEWTON-BOUSSINESQ EQUATIONS[J].Chinese Annals of Mathematics,Series B,1998,19(2):179-188. |
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| Authors: | Guo Boling and Wang Bixiang |
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| Institution: | GUO BOLING * WANG BIXIANG ** |
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| Abstract: | The authors show the Gevrey class regularity of the solutions for the two-dimensional Newton-Boussinesq Equations. Based on this fact, an approximate inertial manifold for the system is constructed, which attracts all solutions to an exponentially thin neighborhood of it in a finite time. |
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| Keywords: | Gevrey class regularity Global attractor Approximate inertial manifold Newton-Boussinesq Equation |
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