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A hierarchy of length scales for solutions of the three-dimensional Navier-Stokes equations
hierarchy of length scales for solutions three-dimensional Navier-Stokes equations
2010/12/28
Moments of the vorticity are used to define and estimate a hierarchy of time-averaged inverse length scales λ−1 m for the three-dimensional Navier-Stokes equations on a periodic
box [0, L]3.
Level lowering modulo prime powers and twisted Fermat equations
Modular forms level lowering Diophantine equations
2010/11/26
We discuss a clean level lowering theorem modulo prime powers for weight 2 cusp forms. Furthermore, we illustrate how this can be used to completely solve certain twisted Fermat equations axn + byn + ...