Mathematics of Two-Dimensional Turbulence

by Sergei Kuksin and Armen Shirikyan

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...

• Format: Hardcover
• Language: English
• ISBN: 0521827795
• ISBN13: 9781107022829
• Release Date: March 2004
• Publisher: Cambridge University Press
• Length: 336 Pages
• Weight: 1.35 lbs.
• Dimensions: 0.9" x 6.0" x 9.1"