3 problems

Let $r_n=2^{-n}$ and define the renormalized orbit … For a relative filter scale $\ell\in(0,1)$, let $F_{n,\ell}^{\rm abs}$ denote the absolute coarse flux activity, let…

For an axisymmetric Euler flow without swirl satisfying the symmetry and sign conditions described above, let $R(t)$ denote the relevant vorticity-growth scale. Childress's conject…

In the three-dimensional incompressible Euler and Navier–Stokes setting, an initial datum is said to satisfy the actual zeroth-law when it has the zeroth-law property discussed in…