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What is it about?

The paper developed a new framework on how to describe the long-time behavior the solutions of partial differential equations. A finiteness property of strongly uniformly approximating as well as a strong equicontinuity is obtained.

Why is it important?

A important feature of some classes of dissipative systems is that they possess a finite dimensional structure, or the systems are in essence of finite degrees, even the phase spaces in general are infinite dimension. Hence, it arrives at the notion of a global attractor. Here we present new insights and introduce a notion of a strongly compact strong trajectory attractor.

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Songsong Lu
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