Global attractors for the coupled suspension bridge system with temperature

Abstract

This paper deals with the long-term properties of the thermoelastic nonlinear string-beam system related to the wellknown Lazer-McKenna suspension bridge model 8 > > < > > :In particular, no mechanical dissipation occurs in the equations, because the loss of energy is entirely due to thermal effects. The existence of regular global attractors for the associated solution semigroup is proved (without resorting to a bootstrap argument) for time-independent supplies f, g, h and anyˇ2 R.

Uniform decay rates of a coupled suspension bridges with temperature

“…We need to mention here that the modeling for the first two coupled equations in (1.1) was considered in [7] with intermediate piers, and the authors proved the well-posedness of the problem and investigated the stability of the solutions. In recent years, the analysis and the stability of various nonlinear suspension bridge models have been attracting many researchers (see [1][2][3][4][5][6][7][8][9][10]) and the references therein.…”

Global Attractor for Coupled Beam Equations with Nonhomogeneous Boundaries Conditions

“…Dell'Oro et al [6] dealt with the long-term properties of the thermoelastic nonlinear string-beam system related to the well-known Lazer-McKenna suspension bridge model…”