| 具有双记忆项的热弹耦合梁方程的整体吸引子 |
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| 引用本文： | 孙霞霞,王旦霞.具有双记忆项的热弹耦合梁方程的整体吸引子[J].数学的实践与认识,2017(2):271-279. |
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| 作者姓名： | 孙霞霞 王旦霞 |
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| 作者单位： | 太原理工大学 数学学院,山西 太原,030600 |
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| 基金项目： | 国家自然科学基金(11172194)，山西省自然科学基金(2015011006 |
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| 摘 要： | 研究了具有双记忆项的非线性热弹耦合梁方程,利用已知的研究结果给出解的适定性定理,其次通过先验估计并结合常用不等式证明系统存在有界吸收集,且利用标准方法验证半群的渐近紧性,得到整体吸引子的存在性.
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| 关 键 词： | 双记忆项 热弹耦合 吸引子 |
Global Attractors for the Thermoelastic Beam Equations with Double Memory |
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| SUN Xia-xia,WANG Dan-xia.Global Attractors for the Thermoelastic Beam Equations with Double Memory[J].Mathematics in Practice and Theory,2017(2):271-279. |
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| Authors: | SUN Xia-xia WANG Dan-xia |
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| Abstract: | The thermoelastic nonlinear beam equation with double memory is studied,the existence theorems of solutions is given by some research resuets.It is proved that the system in the presence of bounded absorbing set through a priori estimates and some inequality.Using standard method verify the asymptotic compactness of semigroup,So we get the existence of global attractor. |
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| Keywords: | double memory term thermoelastic global attractor |
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