论文标题
延迟的非线性多孔弹性系统的指数稳定性
Exponential stability for a nonlinear porous-elastic system with delay
论文作者
论文摘要
在这项工作中，我们考虑了全局解决方案的存在以及随时间延迟的非线性多孔弹性系统的指数衰减。非线性项以及延迟作用在体积分数方程中。为了获得全局解决方案的存在和唯一性，我们将使用线性运算符的半群理论，并在涉及系统系数的某个关系中以及Lyapunov函数，我们将建立与系统相关的能量的指数衰减。
In this work, we consider the existence of global solution and the exponential decay of a nonlinear porous elastic system with time delay. The nonlinear term as well as the delay acting in the equation of the volume fraction. In order to obtain the existence and uniqueness of a global solution, we will use the semigroup theory of linear operators and under a certain relation involving the coefficients of the system together with a Lyapunov functional, we will establish the exponential decay of the energy associated to the system.
