微温多孔弹性系统能量衰减分析：第二种谱方法
Energy decay analysis for Porous elastic system with microtemperature : A second spectrum approach
摘要：
本文从二阶谱的观点出发，分析了具有微温的多孔弹性系统。利用经典的Faedo-Galerkin方法结合先验估计，证明了该问题整体解的存在唯一性.然后在不假设等波速的条件下证明了该解是指数稳定的。然后，我们引入了一个有限元近似，我们证明了相关的离散能量衰减。最后，我们得到了一些先验的误差估计假设额外的规则性的解决方案，我们提出了一些数值结果，证明了精度的近似和解的行为
英文摘要：
In this work, we analyze porous elastic system with microtemperature from second spectrum viewpoint. Indeed, by using the classical Faedo-Galerkin method combined with the a priori estimates, we prove the existence and uniqueness of a global solution of this problem. Then we prove that this solution is exponentially stable without assuming the condition of equal wave speeds. Then, we introduce a finite element approximation and we prove that the associated discrete energy decays. Finally, we obtain some a priori error estimates assuming additional regularity on the solution and we present some numerical results which demonstrate the accuracy of the approximation and the behaviour of the solution
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