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The Lifschitz-Slyozov equation with space-diffusion of monomers

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  • The Lifschitz--Slyozov system describes the dynamics of mass exchanges between macro--particles and monomers in the theory of coarsening. We consider a variant of the classical model where monomers are subject to space diffusion. We establish the existence--uniqueness of solutions for a wide class of relevant data and kinetic coefficients. We also derive a numerical scheme to simulate the behavior of the solutions.
    Mathematics Subject Classification: Primary: 82C21; Secondary: 35G61, 45K05, 82C26.


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