论文标题
用微晶的多孔弹性系统的能量衰减分析：第二频谱方法
Energy decay analysis for Porous elastic system with microtemperature : A second spectrum approach
论文作者
论文摘要
在这项工作中，我们从第二频谱观点分析了具有微晶体的多孔弹性系统。确实，通过使用经典的Faedo-Galerkin方法与A先验估计相结合，我们证明了该问题的全局解决方案的存在和唯一性。然后，我们证明该解决方案在不假定相等波速的情况下呈指数稳定。然后，我们引入一个有限的元素近似值，并证明相关的离散能量衰减。最后，我们获得了一些先验误差估计，假设解决方案上有其他规律性，并提出了一些数值结果，这些结果证明了近似值的准确性和解决方案的行为。
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
