of melt water from glaciated
areas in long integrations for a warming climate.
Glacier dynamics
This problem can be qualitatively analysed by considering the continuity equation for ice vol-
ume, which may be expressed as
¶h
¶t
+
¶q
¶
x
= b or
¶h
¶t
+~ ~q = b ; (1)
for a one-dimensional ice flow channel or an ice cap that flows in two horizontal dimensions,
respectively. h is ice thickness, q or ~q
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