A probabilistic approach to the two-dimensional Navier-Stokes equations

• 成果类型: Article
• 署名作者: Busnello, B
• 署名单位: University of Pisa
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1022677547
• 发表日期: 1999
• 页码: 1750-1780
• 关键词: euler

摘要

We turn the Navier-Stokes equations for a 2-dimensional viscous incompressible fluid into a system of functional integrals in the trajectory space of a suitable diffusion process. Using probabilistic techniques as Girsanov's transformation and Bismut-Elworthy formula, we prove the existence of a unique global solution of this system in a constructive way.