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Existence and uniqness of solution to the Lifshitz-Slyozov system with monomers spatial diffusion

Tine, LM (INRIA Lille)
Thursday 09 September 2010, 16:00-16:30

Seminar Room 1, Newton Institute


The standard Lifshitz-Slyozov model describes the evolution of a population of macro-particles or polymers immersed in a bath of monomers. It appears in such solution interaction phenomena between macro-particles characterized by their size density repartition f (t, ξ ) and the monomers characterized by their concentration c(t). These interactions induce the growth of large particles at the expense of the smaller ones what is known as Ostwald ripening. The evolution dynamic is governed by partial differential equations. We extend this standard model to a more complexe one taking into account the spatial diffusion of the monomers concentration. So we prove the existence and uniqueness of solution for the model.


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