On the effect of distributed delay and magnetism on the stability of a piezoelectric beam
摘要
In this work, a piezoelectric beam model under magnetic and delay effects will be studied. The delay effect is distributed type and acts in transversal displacement equation. We prove that the model is well-posed and the semigroup of linear operators associated to solutions of system are uniformly exponentially stable. To conclude, we carried out a numerical study about asymptotic behavior of the solutions and the exponential decay of discrete energy.