Abstract

The Lifshitz-Slyozov-Wagner theory of coarsening (Ostwald ripening) in alloys describes the time evolution of the sizes of the grains of a new phase growing by diffusional mass transfer from a supersaturated solid solution. The volume distribution function of the grains obeys a nonlinear transport equation with a non-local nonlinearity. Global existence and uniqueness of solutions are proved for a large class of data including the ones derived by Lifshitz and Slyozov and Wagner.

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