论文标题

阻尼2D Euler-Bardina方程的吸引子的尖锐尺寸估计值

Sharp dimension estimates of the attractor of the damped 2D Euler-Bardina equations

论文作者

Ilyin, Alexei, Zelik, Sergey

论文摘要

我们证明了在圆环上的阻尼和驱动的2D Euler-bardina方程的全球吸引子的存在,并给出了其尺寸的显式两边估计,该估计值为$α\ to0^+$。

We prove existence of the global attractor of the damped and driven 2D Euler--Bardina equations on the torus and give an explicit two-sided estimate of its dimension that is sharp as $α\to0^+$.

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