论文标题
在两层准地球模型中，传输噪声的耗散特性
Dissipation properties of transport noise in the two-layer quasi-geostrophic model
论文作者
论文摘要
分析了具有乘法运输噪声的两层准地藻模型（2LQG）的随机版本。这个流行的中间复杂性模型描述了中纬度地区的大规模大气和海洋动力学。运输噪声在两层上起作用，是尚未解决的小尺度。在建立了扰动方程的拟合良好之后，我们表明，在噪声的合适缩放下，解决方案会收敛到具有增强耗散的确定性2LQG模型。此外，这些解决方案从长期的视野中融合到确定性固定的固定性固定性。
A stochastic version of the two-layer quasi-geostrophic model (2LQG) with multiplicative transport noise is analysed. This popular intermediate complexity model describes large scale atmosphere and ocean dynamics at the mid-latitudes. The transport noise, which acts on both layers, accounts for the unresolved small scales. After establishing the well-posedness of the perturbed equations, we show that, under a suitable scaling of the noise, the solutions converge to the deterministic 2LQG model with enhanced dissipation. Moreover, these solutions converge to the deterministic stationary ones on the long time horizon.
