Laplacian in cylindrical coordinatesLaplacianInCylindricalCoordinates2006-10-26 03:17:292006-10-26 03:17:29Definition% this is the default PlanetMath preamble. as your knowledge
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% define commands hereThe Laplacian operator in cylindrical coordinates is
\begin{equation}
\nabla _{cyl}^{2} = \frac{1}{r} \frac{\partial}{\partial r}\left(r \frac{\partial}{\partial r}\right) + \frac{1}{r^2} \frac{\partial^2}{\partial \theta^2} + \frac{\partial^2}{\partial z^2}
\end{equation}