The advection-diffusion equation I am working with has the form $$ \frac{\partial c}{\partial t} = \nabla\cdot (D\nabla c) - \nabla\cdot (vc) + R , $$ where \begin{aligned} c &= \text {concentration} \\ t &= \text{time} \\ D &= \text{Diffusivity} \\ \nabla &=\text {Gradient} \\ \nabla\cdot &= \text{Divergence} \\ R &= \text{Source of quantity } c \\ \end{aligned} I am unsure of what to do with the del operators. Could you help me set up the equation for Integration?
Advection-diffusion equation
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pde