中文摘要：

讨论了具有奇异振动外力项的Kuramoto-Sivashinsky方程ut＋Δ2 u＋Δu＋u·▽u=g（x,t）＋ε-ρh（t/ε）,u｜t=τ=uτ和相应的Kuramoto-Sivashinsky方程ut＋Δ2 u＋Δu＋u·▽u=g（x,t）,u｜t=τ=uτ在外力项g（x,t）,h（x,t/ε）仅满足平移有界而非平移紧时H2per空间中一致吸引子Aε的存在性,进一步证明了第一个方程的一致吸引子Aε的一致有界性,并且,当ε→0＋时,Aε收敛到第二个方程的吸引子A0.

英文摘要：

In this paper,the existence of uniform attractors Aεis proved in the space H2 per when the external force terms satisfy the bounded transition instead of transition impact within the non-autonomous Kuramoto-Sivashinsky equation：ut＋Δ2u ＋Δu＋u·▽u=g（x,t）＋ε-ρh（t/ε）,u｜t=τ=uτ for ρ∈[0,1]and ε0 and the corresponding K-S equation：ut＋Δ2u ＋Δu＋u·▽u=g（x,t）,u｜t=τ=uτ,asε=0.Furthermore,the uniform（w.r.t.ε）boundedness of a class of uniform attractors Aεare verified as well as the convergence of the attractors Aεfor the first equation to the attractor A0 of the second one asε→0＋.