A probabilistic representation of solutions of the incompressible Navier-Stokes equations in R3
成果类型：
Article
署名作者：
Ossiander, M
署名单位：
Oregon State University
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-004-0418-z
发表日期：
2005
页码：
267-298
关键词：
摘要：
A new probabilistic representation is presented for solutions of the incompressible Navier-Stokes equations in R-3 with given forcing and initial velocity. This representation expresses solutions as scaled conditional expectations of functionals of a Markov process indexed by the nodes of a binary tree. It gives existence and uniqueness of weak solutions for all time under relatively simple conditions on the forcing and initial data. These conditions involve comparison of the forcing and initial data with majorizing kernels.