矩形区域内热-板耦合系统的稳定性分析

来源 :系统科学与数学 | 被引量 : 0次 | 上传用户：jianrui02

【摘要】

：

该工作主要讨论在一二维矩形区域内的热-板耦合系统解的长时间行为.该模型由两部分组成:其中一部分为热方程描述,另一部分为欧拉-伯努利板方程描述.两者在公共边界处通过一定的传输条件耦合连接在一起.基于频域分析方法,结合正交分解以及频域乘子构造等技巧,得到了在光滑初始条件下该系统能量的多项式衰减速率估计.

【作者】

：

余凯

【机构】

：

天津大学数学学院,天津300354

【出处】

：

系统科学与数学

【发表日期】

：

2021年6期

【关键词】

：

热方程欧拉-伯努利板方程多项式稳定性矩形区域

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矩形区域内热-板耦合系统的稳定性分析

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