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Reaction–diffusion–advection equation
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Reaction–diffusion–advection equation : ウィキペディア英語版
Reaction–diffusion–advection equation

The reaction–diffusion–advection equation is a partial differential equation that models the concentration of a chemical species in a classical reaction–diffusion–advection process. In that process, a chemical species undergoes a reaction, can diffuse in the solvent, and is transported by the bulk movement of the solvent (advection). The equation modeling the concentration u(\boldsymbol,t) (units: M), \boldsymbol \in \mathbb^n of the chemical species ''u'' is:
: \frac + \nabla \cdot \left( \boldsymbol u - D\nabla u \right) = f,
where ''D'' is the diffusion coefficient (units: length2 /time), \boldsymbol \in \mathbb^n is the bulk velocity (units: length/time), and f (units: M/s) is the reaction term that models the generation or decay of the species ''u''. In general, each f,D, and \boldsymbol may depend on space, time, or the concentration of ''u'' itself. The equation above is a conservation of mass in a continuum model, where accumulation at a point is the next flux (rate in minus rate out) of a point plus the generation at that point (see continuity equation).
==See also==

*Reaction–diffusion equation
*Advection–diffusion equation


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