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Book Synopsis
The authors study small disturbances to the periodic, plane Couette flow in the 3D incompressible Navier-Stokes equations at high Reynolds number Re. They prove that for sufficiently regular initial data of size $\epsilon \leq c_0\mathbf {Re}^-1$ for some universal $c_0 > 0$, the solution is global.

Dynamics Near the Subcritical Transition of the

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    A Paperback by Jacob Bedrossian, Pierre Germain, Nader Masmoudi

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      Publisher: MP-AMM American Mathematical
      Publication Date: 10/30/2020 12:00:00 AM
      ISBN13: 9781470442170, 978-1470442170
      ISBN10: 1470442175

      Description

      Book Synopsis
      The authors study small disturbances to the periodic, plane Couette flow in the 3D incompressible Navier-Stokes equations at high Reynolds number Re. They prove that for sufficiently regular initial data of size $\epsilon \leq c_0\mathbf {Re}^-1$ for some universal $c_0 > 0$, the solution is global.

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