Tracer turbulence: the Batchelor-Howells-Townsend spectrum revisited

Michael S. Jolly, Djoko Wirosoetisno

Given a velocity field $u(x,t)$, we consider the evolution of a passive tracer $\theta$ governed by ${\partial }_t\theta +u\cdot \nabla \theta =\Delta \theta +g$ with time-independent source $g(x)$. When $\Vert u\Vert$…