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Mathematics of Two-Dimensional Turbulence (Cambridge Tracts in Mathematics)

Professor Sergei Kuksin, Professor Armen Shirikyan




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 | #4080635 in Books |  Sergei Kuksin |  2012-11-12 | Original language:English | PDF # 1 |  8.98 x.83 x5.98l,1.35 | File type: PDF | 336 pages

 | Mathematics of Two Dimensional Turbulence

||About the Author|Sergei Kuksin is a Professor in the Centre Mathématiques Laurent Schwartz at École Polytechnique in Palaiseau, France.

Armen Shirikyan is a professor in the mathematics department at the University of Cergy-Pontoise (UCP

This book is dedicated to the mathematical study of two-dimensional statistical hydrodynamics and turbulence, described by the 2D Navier-Stokes system with a random force. The authors' main goal is to justify the statistical properties of a fluid's velocity field u(t,x) that physicists assume in their work. They rigorously prove that u(t,x) converges, as time grows, to a statistical equilibrium, independent of initial data. They use this to study ergodic properties of u(...

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