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Variational model of sandpile growth

Published online by Cambridge University Press:  26 September 2008

Leonid Prigozhin
Leonid Prigozhin
Affiliation:
Department of Mathematics, The Weizmann Institute of Science, Rehovot 67100, Israel and Dipartimento di Matematica ‘U. Dini’ Universitá degli Studi di Firenze, Firenze, Italy
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Abstract

A model describing the evolving shape of a growing pile is considered, and is shown to be equivalent to an evolutionary quasi-variational inequality. If the support surface has no steep slopes, the inequality becomes a variational one. For this case existence and uniqueness of the solution are proved.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 7 , Issue 3 , June 1996 , pp. 225 - 235
Copyright
Copyright © Cambridge University Press 1996

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