### Abstract

A nonlinear first-order PDE describing the displacement of a glass surface subject to solid particle erosion is presented. The analytical solution is derived by means of the method of characteristics. Alternatively, the Engquist-Osher scheme is applied to compute a numerical solution.

Original language | English |
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Title of host publication | Progress in Industrial Mathematics at ECMI 2004 (Proceedings 13th European Conference on Mathematics for Industry, Eindhoven, The Netherlands, June 21-25, 2004) |

Editors | A. Di Bucchianico, R.M.M. Mattheij, M.A. Peletier |

Place of Publication | Berlin |

Publisher | Springer |

Pages | 386-390 |

ISBN (Print) | 3-540-28073-1 |

DOIs | |

Publication status | Published - 2006 |

### Publication series

Name | Mathematics in Industry |
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Volume | 8 |

ISSN (Print) | 1612-3956 |

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## Cite this

Thije Boonkkamp, ten, J. H. M. (2006). A mathematical model for the mechanical etching of glass. In A. Di Bucchianico, R. M. M. Mattheij, & M. A. Peletier (Eds.),

*Progress in Industrial Mathematics at ECMI 2004 (Proceedings 13th European Conference on Mathematics for Industry, Eindhoven, The Netherlands, June 21-25, 2004)*(pp. 386-390). (Mathematics in Industry; Vol. 8). Berlin: Springer. https://doi.org/10.1007/3-540-28073-1_62