Eulerian fluid perturbation
= Eulerian fluid perturbation
{c}
{title2=$f_1=\Delta f-\boldsymbol\xi\cdot\nabla f$}
An <Eulerian fluid perturbation> compares a perturbed field with its equilibrium value at one fixed spatial point. It differs from the perturbation following a displaced material element: $\Delta f=f_1+\boldsymbol\xi\cdot\nabla f$. Linearizing a static <fluid> <velocity> gives $\mathbf v_1=\partial_t\boldsymbol\xi$.