Search results for " Global Attractor"

showing 2 items of 2 documents

Buckling and nonlinear dynamics of elastically coupled double-beam systems

2016

Abstract This paper deals with damped transverse vibrations of elastically coupled double-beam system under even compressive axial loading. Each beam is assumed to be elastic, extensible and supported at the ends. The related stationary problem is proved to admit both unimodal (only one eigenfunction is involved) and bimodal (two eigenfunctions are involved) buckled solutions, and their number depends on structural parameters and applied axial loads. The occurrence of a so complex structure of the steady states motivates a global analysis of the longtime dynamics. In this regard, we are able to prove the existence of a global regular attractor of solutions. When a finite set of stationary s…

Buckling; Double-beam system; Global attractor; Nonlinear oscillations; Steady states; Mechanics of Materials; Mechanical Engineering; Applied MathematicsSteady statesBucklingApplied MathematicsMechanical Engineering010102 general mathematicsEigenfunctionDouble-beam system01 natural sciencesGlobal attractorNonlinear oscillations010101 applied mathematicsVibrationNonlinear systemClassical mechanicsBucklingMechanics of MaterialsAttractor0101 mathematicsNonlinear OscillationsFinite setBeam (structure)MathematicsInternational Journal of Non-Linear Mechanics
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LONG TIME BEHAVIOR OF A SHALLOW WATER MODEL FOR A BASIN WITH VARYING BOTTOM TOPOGRAPHY

2002

We study the long time behavior of a shallow water model introduced by Levermore and Sammartino to describe the motion of a viscous incompressible fluid confined in a basin with topography. Here we prove the existence of a global attractor and give an estimate on its Hausdorff and fractal dimension.

HydrologyShallow water equations Global Attractor Fractal dimension dissipative systemWaves and shallow waterStructural basinSettore MAT/07 - Fisica MatematicaGeologyWaves and Stability in Continuous Media
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