Diffusion Equation in 2D two-dimensional euclidian space ℝ2
(1) | \frac{\partial {\rm w}}{\partial t} = \frac{\partial {\rm w}^2}{\partial^2 r} + \frac{1}{r} \frac{\partial {\rm w}}{\partial r} |
where
{\rm w}(t, {\bf r}) | dynamic variable |
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{t} | time |
{\bf r} = (x,y,z) \in R^3 | position vector |