Presence of exponential attractors for the equation of stretchable coupled suspension bridges with strong damping
In the case of weaker nonlinear terms,the long-term dynamic behavior of the stretchable coupled suspen-sion bridge equation with strong damping is studied.Firstly,the existence of bounded absorbing set of the solution semigroup is proved by a priori estimation method.Secondly,it is proved that the equation satisfies the enhanced flatness condition by using the test function as the inner product.Finally,the existence of exponential attractor for the stretchable coupled suspension bridge equation with strong damping is proved.The research results further generalize and improve the attractor theory of the coupled suspension bridge equation.
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