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On the dynamics of the characteristic curves for the LSW modelKeywords: Oswald ripening , asymptotic behavior , Schwartzian derivative , integral equations. Abstract: This paper describes in a rigorous manner how the dynamics of the characteristic curves for the Lifshitz-Slyozov-Wagner (LSW) model of coarsening transforms a class of noncompactly supported initial data in functions that behave in a self-similar manner for long times.
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