The asymptotic behavior of stochastic modified quasi-geostrophic equations with damping driven by colored noise is analyzed. In fact, the existence of random attractors is established in W2α−,p(ℝ2). In particular, we prove also the existence of a global compact attractor for autonomous quasi-geostrophic equations with damping in W2α−,p(ℝ2). Here, we do not add any modifying factor on the nonlinear term.

中文翻译：

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W2α−,p(ℝ2) 中带和不带彩色噪声的 2D 准地转方程的吸引子

分析了由有色噪声驱动的具有阻尼的随机修正准地转方程的渐近行为。事实上，随机吸引子的存在是建立在W2α-,p(ℝ2).特别是，我们还证明了具有阻尼的自治准地转方程的全局紧致吸引子的存在W2α-,p(ℝ2).在这里，我们没有在非线性项上添加任何修改因子。