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Lecture 2: Decay of Fourier Modes in Solutions of the 2-dimensional Navier-Stokes System | Einstein Institute of Mathematics

Lecture 2: Decay of Fourier Modes in Solutions of the 2-dimensional Navier-Stokes System

Date: 
Sun, 25/04/201014:00
Lecturer: 
Prof. Y. Sinai, Princeton

Fourier modes decay exponentially in the case of periodic boundary conditions. In more general cases the behaviour depends on the boundary conditions. The most difficult case is the unit square with Dirichlet boundary conditions. I shall explain the difficulties and some methods how to overcome them.