Scaling laws and convergence for the advection-diffusion equation

• 成果类型: Article
• 署名作者: Gaudron, G
• 署名单位: Aix-Marseille Universite; Inria
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 1998
• 页码: 649-663
• 关键词: turbulent; RENORMALIZATION

摘要

In this paper we study the convergence of stochastic processes related to a random partial differential equation (PDE with random coefficients) of heat equation propagation type in a Kolmogorov's random velocity field. Then we are able to improve the results of Avellanda and Majda in the case of shear-flow advection-diffusion because we prove a convergence in law of the solution of the RPDE instead of just convergence of the moments.