On the dynamics of the characteristic curves for the LSW model

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.

Keywords

• Oswald ripening
• asymptotic behavior
• Schwartzian derivative
• integral equations.