论文标题
具有内部延迟的热弹性系统的适应性和指数稳定性
Well-posedness and exponential stability of a thermoelastic system with internal delay
论文作者
论文摘要
热弹性系统中延迟的存在破坏了热传导的良好和稳定作用[17]。为了避免此问题，我们在延迟方程式中添加到系统中，kelvin-voigt阻尼。首先，我们通过半群理论证明了系统的体系良好。接下来，在适当的假设下，我们通过引入合适的Lyapunov功能来证明系统的指数稳定性。
The presence of a delay in a thermoelastic system destroys the well-posedness and the stabilizing effect of the heat conduction [17]. To avoid this problem we add to the system, at the delayed equation, a Kelvin-Voigt damping. At first, we prove the well-posedness of the system by the semigroup theory. Next, under appropriate assumptions, we prove the exponential stability of the system by introducing a suitable Lyapunov functional.
