Research Article

On the competitive growth of two sand heaps

  1. Christina Kuttler*

Article first published online: 29 OCT 2003

DOI: 10.1002/mma.419

Issue

Mathematical Methods in the Applied Sciences

Mathematical Methods in the Applied Sciences

Volume 26, Issue 17, pages 1435–1449, 25 November 2003

Additional Information

How to Cite

Kuttler, C. (2003), On the competitive growth of two sand heaps. Math. Meth. Appl. Sci., 26: 1435–1449. doi: 10.1002/mma.419

Author Information

  1. Biomathematik, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany

*Biomathematik, Universität Tübingen, Auf der Morgenstelle 10, 72076, Tübingen, Germany

Publication History

  1. Issue published online: 29 OCT 2003
  2. Article first published online: 29 OCT 2003
  3. Manuscript Received: 29 AUG 2001

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Abstract

A simple quasistationary model for the growth of 1D sand heaps in form of a non-linear system of ordinary differential equations is presented. The basic assumption for the model is the instantaneous deposition of the matter which is poured by punctiform sources. Existence and uniqueness of the solution is shown, and the qualitative evolution, especially the overrun phenomenon, is described. Copyright © 2003 John Wiley & Sons, Ltd.

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