吊桥方程指数吸引子的存在性

The Existence of Exponential Attractors for the Suspension Bridge Equation

吊桥方程是工程数学中的一类重要数学模型.在非自治和自治两种情况下,吊桥方程紧整体吸引子的存在性已有许多结果.然而,这一问题指数吸引子的存在性还无人讨论.我们借助Eden等人提出的方法,证明了该问题指数吸引子的存在性.

Abstract The suspension bridge equation is an important model in engineering math- ematics. We have a lot of results for attractors in cases of autonomous and nonau- tonomous conditions. However, there are nobody have discussed the problem of expo- nential attractors for this problem. Now, based on the methods proposed by Aden et al, the existence of the exponential attractors for the suspension bridge equation are proved.