(2024) Gino Chavez; Luis Cortes Vega; Adrián Sotomayor
We study the wave equation with a non-linear dissipative term associated to a bidimensional membrane with xed boundary. We use the semigroup theory to consider the existence and uniqueness of solutions to the problem and we implement the nite element method to analyse the vibrating evolutionary equation. In particular we use Comsol Multiphysics software with a rectangular mesh to analyze the corresponding evolutionary system. We mention that this system can appear, for example, in the diaphragm of a centrifugal pump in mining processes.