Electron. J. Diff. Eqns., Vol. 2006(2006), No. 52, pp. 1-51.

On the dynamics of the characteristic curves for the LSW model

Juan J. L. Velazquez

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.

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Juan J. L. Velázquez
Departamento de Matemática Aplicada
Facultad de Matemáticas
Universidad Complutense, Madrid 28040, Spain
email: velazque@mat.ucm.es

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