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Diffusion Equation in 2D two-dimensional euclidian space ℝ2


Planar diffusion equation with axial symmetric property distribution:

LaTeX Math Block
anchordiff
alignmentleft
\frac{\partial {\rm w}}{\partial t} = \frac{\partial {\rm w}^2}{\partial^2 r} + \frac{1}{r} \frac{\partial {\rm w}}{\partial r}

where 

LaTeX Math Inline
body{\rm w}(t, {\bf r})

dynamic variable

LaTeX Math Inline
body{t}

time

LaTeX Math Inline
body{\bf r} = (x,y,z) \in R^3

position vector


See also

...

[ Planar axial-symmetric diffusion equation ]