UNIFORM DECAY OF A VISCOELASTIC NONLINEAR BEAM IN TWO DIMENSIONAL SPACE | Asian Journal of Math

We investigate a viscoelastic nonlinear beam in two dimensions in this research. We establish the well-posedness of the problem as well as a decay result. When no external forces are present, the proposed boundary controller ensures that the beam is globally exponentially stabilised at its equilibrium position, and that when forces are present, the beam is stabilised in the vicinity of its equilibrium position. The method is based on the multiplier technique as well as some of the concepts presented in [1].

Please see the link :- https://www.ikprress.org/index.php/AJOMCOR/article/view/712