ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF COAGULATION-FRAGMENTATION MODELS

In this paper we study the evolution of the number density n(x,c,t) of droplets of volume x with chemical concentration c subject to both co alescence (coagulation) and rupture (fragmentation, breakage). It is p roved that as t --> infinity the concentration tends to a limit value c, and the measure sn(x,c,t)dxdc converges to delta(c- c(infinity))dL( x) where delta(y) is the Dirac measure and dL is a measure satisfying the appropriate equilibrium equation.