Statistical solutions to Navier-Stokes system and Euler's systems
Abstract
On the basis of the solutions obtained, solutions are derived to the related equations of Hopf and Kolmogorov. It is noted that the solvability of the chain of the moment equations follows from the existence theorem of Cauchy's problem for Hopf's and Kolmogorov's equations. The classical results are formulated for Navier-Stokes and Euler's equations. Two of the questions posed by Kolmogorov are answered.
- Publication:
-
Uspekhi Mekhaniki Advances Mechanics
- Pub Date:
- 1982
- Bibcode:
- 1982UMAM....5...65V
- Keywords:
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- Computational Fluid Dynamics;
- Euler Equations Of Motion;
- Kolmogoroff Theory;
- Navier-Stokes Equation;
- Statistical Analysis;
- Turbulent Flow;
- Cauchy Problem;
- Existence Theorems;
- Flow Theory;
- Galerkin Method;
- High Reynolds Number;
- Incompressible Flow;
- Kinetic Energy;
- Method Of Moments;
- Oscillating Flow;
- Viscous Flow;
- Wiener Hopf Equations;
- Fluid Mechanics and Heat Transfer