2 problems

Let $\psi:\mathbb{T}^3\to\mathbb{R}^3$ be smooth, and let $B(t,x)$ solve the ideal kinematic dynamo equation with divergence-free initial datum. Define the perfect dynamo growth ra…

Let $\mathbb{T}^3=\mathbb{R}^3/\mathbb{Z}^3$ and consider the kinematic dynamo equation … A velocity field is time-periodic if it is periodic in $t$, and $L^\infty_tW^{1,\infty}_x$…