非自治的Kuramoto-Sivashinsky方程的拉回吸引子的后项紧性

Backward Compactness of Pullback Attractors for the Non-Autonomous Kuramoto-Sivashinsky Equation

本文运用一个关于后项紧的拉回吸引子的存在性定理,证明了非自治的Kuramoto-Sivashinsky方程在外力项是后项λ-缓增有限的假设条件下存在一个唯一的后项紧的拉回吸引子.后项一致Gronwa引理是证明相应系统的后项渐进紧性的关键.

Under the light of a theory for the existence of backward compact pullback attractors,it is shown that the non-autonomous Kuramoto-Sivashinsky equation has a backward compact pullback attractor under an assumption ofλ-tempered finiteness for the force.A backward uniform Gronwall lemma is essential for proving the backward asymptotical compactness of corresponding systems.