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Advection-diffusion heat-kernel solution
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Mathematics
Area of mathematics
Analysis
Partial differential equation
Diffusion equation
Advection-diffusion equation
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Words: 9
The Cauchy problem with initial value
u
0
has
u
(
t
,
x
)
=
∫
−
∞
∞
K
t
(
x
−
a
t
−
y
)
u
0
(
y
)
d
y
.
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(7)
Advection-diffusion equation
Diffusion equation
Partial differential equation
Analysis
Area of mathematics
Mathematics
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