Turbulent Dynamos on Bounded Domains and Their Generalization to the Geometric Transport Equation

Giacomo Del Nin, Daniel Faraco, Sauli Lindberg +1

For any smooth bounded domain $\Omega \subset {\mathbb{R}}^3$, we construct a divergence-free velocity field $u\in L_t^1{W}^{1,p}(\Omega )$ for all $p<\infty$, and magnetic fields $B^ε\in L_t^…