作者: Björn Birnir
DOI: 10.1007/978-1-4614-6262-0_4
关键词: Probabilistic logic 、 Stokes flow 、 Flow (mathematics) 、 Turbulence 、 A priori and a posteriori 、 Sobolev space 、 Mathematical analysis 、 Mathematics 、 Section (fiber bundle) 、 Set (abstract data type)
摘要: We will consider the stochastic Navier–Stokes equation for swirling flow(1.23), see Sect.1.4, in next three sections. Similar results hold equation(1.65) describing fully developed turbulence. However, to emphasize that (1.23) and (1.65) are not same equations we set coefficients c k =h below. The h s can then be large but decay with increasing k. In this section first explain probabilistic setting prove some a priori estimates.