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\beta({\bf r}, U) \cdot \frac{\partial U}{\partial t} = \nabla \left( \alpha({\bf r}, U) \nabla U \right) + f({\bf r}) |
where
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t | time | mobility kinetic coefficient |
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\bf r} = (x,y,z)Position vector fdensity of external forcescapacitance kinetic coefficient |
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\alpha(, Umobility kinetic coefficient\beta, Ucapacitance kinetic coefficient| density of external forces |
In the absence of external forces and constant kinetic coefficients the diffusion equation takes form:
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