Decay By Drops By Evaporation

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Decay By Drops By Evaporation
Ignace I Kolodner
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Equation (22) of the preceding section. In view of Ttieorem 1, this oqtiation is (26) uP. P, t) = |"a"^-p(t)p(t) +1;. ;, p(0) = 1 or explicitly ■ (27) ^fa'^p(t)p(t) + ij = f y|{'^)d'if- -i-y|(z(p, 0)) 0_ / - r^\ 2. PC ''z(p, 0) 2^ After some transformations this can be reduced to a simple] form (28) where rpp = G{p) 2(P, 0) (29) G(p) = -2a r (1--^) yi{t)o. T J-co ^ This equation is best handled by the method of iterations V/e first define an auxiliary function x^(t, a, k) by (30) w^ft, a, k) = ...k^ -2c[(t-a) +^{{1 -JK )] where 2~^ 7 \2 (31) a>0, 0 .
V/e now form the sequence of functions p^^lt) and the sequence of numbers a, k as follows: n n {53) Po'vt) = w(x, 0, l), =2(1+ J' G(p2^^^)dt,

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