理论数学

Vol.2 No.2 (April 2012)

具有强阻尼的非自治非线性热弹耦合杆方程组的拉回D-吸引子
Pullback D-Attractor for the Non-Autonomous Nonlinear Thermoelastic Coupled Rod Equations with Strong Damping

 

作者:

王旦霞 , 张建文

 

关键词:

强阻尼非自治热弹耦合杆方程组拉回 <span style="font-family:Script MT Bold">D</span>-条件(C)拉回 -吸引子<br>Strong Damping Non-Autonomous Thermoelastic Coupled Rod Equations Pullback <span style="font-family:Script MT Bold">D</span>-Condition (C) Pullback <span style="font-family:Script MT Bold">D</span> -Attractor

 

摘要:

虑了具有强阻尼的非自治非线性热弹耦合杆方程组的拉回D-吸引子。首先利用Galerkin方法,证明了在一定的齐次边界条件和初始条件下系统在中的整体解的存在唯一性;其次通过先验估计,证明了系统的拉回D-吸收集的存在性;最后通过证明系统满足拉回D-条件(C),从而证明了系统的拉回D-吸引子的存在性。

In this paper, we consider the pullback D-attractor for the non-autonomous nonlinear equations of thermoelastic coupled rod with strong damping. By Galerkin method, the existence and uniqueness of global solutions are proved under certain homogeneous boundary conditions and initial conditions in ; By prior estimates, the existence of the pullback D-absorbing set is obtained; By proving the pullback D-condition (C), the existence of the pullback D-attractor of above mentioned equations is given.

文章引用:

王旦霞 , 张建文 (2012) 具有强阻尼的非自治非线性热弹耦合杆方程组的拉回<span style="font-family:Script MT Bold">D</span>-吸引子。 理论数学, 2, 82-87. doi: 10.12677/pm.2012.22014

 

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