Mathematics – Analysis of PDEs
Scientific paper
2011-08-17
Mathematics
Analysis of PDEs
Scientific paper
Using the $H^{-1}$ norm as a measure of mixing, we prove that 2d Euler flows
on the torus mix passive scalars at most exponentially. The mixing rate is
bounded linearly by the BMO norm of the vorticity (and thus by its $L^\infty$
norm). We also give an analogous bound on the growth rate of scalar gradients.
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