On the exponential decay of a Balakrishnan-Taylor plate with strong damping

Abstract

In this manuscript, we study a thin and narrow plate equation that models the deck of a suspension bridge that is subject to a Balakrishnan-Taylor damping and a strong damping. First, by using the Faedo Galerkin method, we prove the existence of both global weak and regular solutions. Second, we prove the exponential stability of the energy for regular solutions by combining the multiplier method and a well-known result of Komornik.

Keywords

• plate
• balakrishnan-taylor damping
• strong damping
• exponential decay