Abstract
The Lifshitz–Slyozov theory of coarsening in alloys describes the time evolution of the sizes of the grains of a new phase growing by mass transfer from a supersaturated solid solution. When the encounters between the grains are taken into account, the volume distribution function of the grains obeys a transport equation with a nonlocal nonlinearity and an integral source term. Global existence of solutions is proved for a large class of data including the ones derived by Lifshitz and Slyozov.
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