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Barenblatt solution
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)
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Mathematics
Area of mathematics
Analysis
Partial differential equation
Diffusion equation
Porous medium equation
Created
2026-09-24
Updated
2026-09-24
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The
Barenblatt solution
is
a
mass
-preserving
similarity solution
of the
porous medium equation
. For
u
t
=
β
(
u
u
x
)
x
in one
dimension
it has the form
u
(
x
,
t
)
=
[
A
t
−
1/3
−
6
βt
x
2
]
+
.
(1)
Ancestors
(7)
Porous medium equation
Diffusion equation
Partial differential equation
Analysis
Area of mathematics
Mathematics
Home
Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 332
/
3
/
e
/
Solution
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