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Stationary Statistical Solutions of Damped and Driven Incompressible Navier-Stokes Equations

Author: LiYanFang
Tutor: XiaoYueLong
School: Xiangtan University
Course: Basic mathematics
Keywords: Stationary statistical solution Probability measure
CLC: O35
Type: Master's thesis
Year: 2008
Downloads: 17
Quote: 0
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Abstract


Viscous fluid movement laminar and turbulent two decidedly different state of motion, with increasing Reynold number (C / ν) , the layer rheology to turbulence of turbulence for each point in the speed of development over time and space different random changes , such random phenomena , we can apply the statistical variation of the average method study fluid movement . article discusses the stationary statistical solution of the Navier-Stokes equations in the limit when ν → 0 , prove damped incompressible Navier smooth -Stokes equations statistics solution converges weakly stationary statistical solution of the renormalization of the corresponding Euler equation , these solutions satisfy the vorticity enstrophy balance . This paper divided into four chapters , the first chapter describes the study of the equation and gives the conclusions . Chapter 2 gives the concept theorem and later used to conclusions. Research the smooth statistical solution of the Navier-Stokes equations . Chapter Summary and pointed out that the future can continue to study the problem .

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CLC: > Mathematical sciences and chemical > Mechanics > Fluid Mechanics
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