Pullback Attractor of 2D Nonautonomous g-Navier-Stokes Equations With Linear Dampness
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摘要: 讨论了无界区域上含线性阻尼的2D非自治 g-Navier-Stokes 方程的拉回吸引子,通过验证共圈的拉回D-吸收集的存在性和拉回D-渐近紧性,证明了含线性阻尼的2D非自治 g-Navier-Stokes 方程的拉回吸引子的存在性,并给出了拉回吸引子的Fractal维数估计.
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关键词:
- 拉回吸引子 /
- g-Navier-Stokes 方程 /
- 拉回渐近紧性 /
- Fractal维数 /
- 线性阻尼
Abstract: The pullback attractors for the 2D non-autonomous g-Navier-Stokes equations with linear dampness on some unbounded domains were investigated. The existence of the pullback attractors was proved by verifying the existence of pullback D-absorbing sets with cocycle and obtaining the pullback D-asymptotic compactness. Furthermore,the estimation of the fractal dimensions for the 2Dg-Navier-Stokes equations was given. -
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