On the dynamics of the characteristic curves for the LSW model

On the dynamics of the characteristic curves for the LSW model

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.

Bibliographic Details
Main Author: Juan J. L. Velazquez
Format: Article
Language:English
Published: Texas State University 2006-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Oswald ripening
asymptotic behavior
Schwartzian derivative
integral equations.
Online Access:http://ejde.math.txstate.edu/Volumes/2006/52/abstr.html
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spelling doaj-400a4607754240dbacc85dc04c3eee1e2020-11-24T21:48:57ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-04-01200652151On the dynamics of the characteristic curves for the LSW modelJuan J. L. VelazquezThis 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. http://ejde.math.txstate.edu/Volumes/2006/52/abstr.htmlOswald ripeningasymptotic behaviorSchwartzian derivativeintegral equations.
collection DOAJ
language English
format Article
sources DOAJ
author Juan J. L. Velazquez
spellingShingle Juan J. L. Velazquez
On the dynamics of the characteristic curves for the LSW model
Electronic Journal of Differential Equations
Oswald ripening
asymptotic behavior
Schwartzian derivative
integral equations.
author_facet Juan J. L. Velazquez
author_sort Juan J. L. Velazquez
title On the dynamics of the characteristic curves for the LSW model
title_short On the dynamics of the characteristic curves for the LSW model
title_full On the dynamics of the characteristic curves for the LSW model
title_fullStr On the dynamics of the characteristic curves for the LSW model
title_full_unstemmed On the dynamics of the characteristic curves for the LSW model
title_sort on the dynamics of the characteristic curves for the lsw model
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2006-04-01
description 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.
topic Oswald ripening
asymptotic behavior
Schwartzian derivative
integral equations.
url http://ejde.math.txstate.edu/Volumes/2006/52/abstr.html
work_keys_str_mv AT juanjlvelazquez onthedynamicsofthecharacteristiccurvesforthelswmodel
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