HOMOGENIZATION FOR TIME-DEPENDENT TWO-DIMENSIONAL INCOMPRESSIBLE GAUSSIAN FLOWS

• 成果类型: Article
• 署名作者: Carmona, Rene A.; Xu, Lin
• 署名单位: Princeton University
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 1997
• 页码: 265-279
• 关键词: diffusion

摘要

We consider the diffusive scaling limit for the transport of a passive scalar in a two-dimensional time-dependent incompressible Gaussian velocity field and in the presence of molecular diffusivity. We prove that homogenization holds in this limiting regime and we derive some simple properties of the effective diffusivity tensor.