We study the evaporative cooling of magnetically trapped atomic hydrogen on
the basis of the kinetic theory of a Bose gas. The dynamics of trapped ato
ms is described by the coupled differential equations, considering both the
evaporation and dipolar spin relaxation processes. The numerical time-evol
ution calculations quantitatively agree with the recent experiment of Bose-
Einstein condensation with atomic hydrogen. It is demonstrated that the bal
ance between evaporative cooling and heating due to dipolar relaxation limi
ts the number of condensates to 9X10(8) and the corresponding condensate fr
action to a small value of 4% as observed experimentally.