Abstract
1. In a recent paper I obtained a numerical solution of some problems concerning the stability of a layer of incompressible fluid when the temperature decreases upwards. The results depended on the solution of the sixth-order differential equation (
d
2
/
d
ζ
2
-
a
2
)
3
Z = -λ
a
2
Z. (1) In this solution the co-ordinates were
x
,
y
and
z
, the last being taken vertically. The depth of the fluid is
h
, and ζ =
z
/
h
. (2) Z is the factor of the disturbance of temperature that involves Z. The other factor is supposed to be of the form sin
lx
sin
my
, and
a
2
= (
l
2
+
m
2
)
h
2
. (3)
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