论文标题
Balakrishnan-Taylor光束模型的固有多项式挤压
Intrinsic polynomial squeezing for Balakrishnan-Taylor beam models
论文作者
论文摘要
我们探索与所谓能量阻尼的可扩展光束中与模型相关的能量衰减特性。我们研究了非隆卡阻尼系数对模型稳定性的影响。我们首次证明，相应的能量函数是由涉及阻尼系数的功率的多项式函数挤压的，该功能本质上是由Balakrishnan-Taylor Beam模型所产生的。结果，这表明这种非本地能量阻尼的模型从来没有稳定。
We explore the energy decay properties related to a model in extensible beams with the so-called energy damping. We investigate the influence of the nonloncal damping coefficient in the stability of the model. We prove, for the first time, that the corresponding energy functional is squeezed by polynomial-like functions involving the power of the damping coefficient, which arises intrinsically from the Balakrishnan-Taylor beam models. As a consequence, it is shown that such models with nonlocal energy damping are never exponentially stable in its essence.
