Partido

holaa

[math]\Delta\vec{u} = \nabla(\nabla \cdot \vec{u}) - \nabla \times (\nabla \times \vec{u})[/math] [math](\nabla\times\vec{u}) = \frac{1}{ρ}\begin{vmatrix} \vec{e_ρ} & ρ\vec{e_θ} & \vec{e_z} \\ \frac{ \partial}{\partial ρ} & \frac{\partial }{\partial θ} & \frac{\partial }{\partial z}\\ 0 & ρf(ρ) & 0 \end{vmatrix} = \frac{1}{ρ}\frac{ \partial (ρf(ρ)) }{\partial ρ}\vec{e_z} = [\frac{f(ρ)}{ρ}+\frac{\partial(f(ρ))}{\partial ρ}]\vec{e_z}[/math]