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Advection-diffusion equation
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Diffusion equation
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The constant-coefficient one-dimensional advection-diffusion equation is
u
t
+
a
u
x
=
κ
u
xx
.
(399)
Translation to coordinates moving at speed
a
reduces it to the heat equation.
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Advection-diffusion heat-kernel solution
Advection-diffusion equation
9
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Diffusion equation
Partial differential equation
Analysis
Area of mathematics
Mathematics
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