Random Exponential Attractors For A Strongly Damped Wave Equations With Critical Nonlinearity

In this paper,we consider the following random exponential attractors for a strongly damped wave equation with critical nonlinearity:The well-posedness of solutions is the basis of our discussions,we give first a brief describe and in order to prove dissipation,we construct energy functional and apply the Gronwall lemma.Secondly,for this specific equation,the asymptotic regularity of the solution is proved by operator decomposition and bootstrap arguments.Finally,the key operator contraction property is proved and the construction method of random exponen-tial attractors is given.