Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 52, pp. 1-51.

Title: On the dynamics of the characteristic curves for 
       the LSW model
       
Author: Juan J. L. Velazquez (Univ. Complutense,  Madrid, Spain)

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.
 
Submitted December 5, 2005. Published April 24, 2006.
Math Subject Classifications: 35L40, 35A34, 34K60.
Key Words: Oswald ripening; asymptotic behavior; Schwartzian derivative;
           integral equations.