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Hardcover Mathematics of Two-Dimensional Turbulence Book

ISBN: 0521827795

ISBN13: 9781107022829

Mathematics of Two-Dimensional Turbulence

(Book #194 in the Cambridge Tracts in Mathematics Series)

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...

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