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- 2018
非自治的Kuramoto-Sivashinsky方程的拉回吸引子的后项紧性
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Abstract:
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 of λ-tempered finiteness for the force. A backward uniform Gronwall lemma is essential for proving the backward asymptotical compactness of corresponding systems
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