A semigroups theory approach to a model of suspension bridges

Abstract

In this paper we study the existence and uniqueness of the weak solution of a mathematical model that describes the nonlinear oscillations of a suspension bridge. This model is given by a system of partial differential equations with damping terms. The main tool used to show this is the C0-semigroup theory extending the results of Aassila.

Keywords

• suspension bridges
• semigroup theory
• weak solution