Stefan Problem
In
mathematics
and its applications, particularly to
phase transitions
in matter, a
Stefan problem
(also
Stefan task
) is a particular kind of
boundary value problem
for a
partial differential equation
, adapted to the case in which a phase boundary can move with time. It is named for
Jožef Stefan
, the
Slovene
physicist
who introduced the general class of such problems around
1890
, in relation to problems of
ice
formation. This question had been considered earlier, in
1831
, by
Lam
and
Clapeyron
. The Stefan problems are examples of
free boundary
problems, for
parabolic equations
. The
Stefan condition
is the expression in terms of
temperature
change of the
conservation of energy
, at the
phase
boundary.
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