On the Long-Time Behavior of a Perturbed Conservative System with Degeneracy
On the Long-Time Behavior of a Perturbed Conservative System with Degeneracy
复制标题
简并性扰动保守系统的长期行为
DOI：
10.1007/s10959-019-00911-2
复制
发表时间：
2018
影响因子：
0.8
通讯作者：
Wenqing Hu
中科院分区：
文献类型：
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作者：
Wenqing Hu
在这项工作中，我们考虑一个模型保守系统的耗散和高斯型随机扰动。原来的保守系统具有一个连续的定态集，从而退化。我们描述了我们的模型系统的扰动参数趋于零的长时间限制。在我们的模型系统中的退化进行一些相关的偏微分方程中发现的功能，例如，湍流问题。
We consider in this work a model conservative system subject to dissipation and Gaussian-type stochastic perturbations. The original conservative system possesses a continuous set of steady states and is thus degenerate. We characterize the long-time limit of our model system as the perturbation parameter tends to zero. The degeneracy in our model system carries features found in some partial differential equations related, for example, to turbulence problems.