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Asymptotic Analysis of a Multi-Component Wet Chemical Etching Model

  • Jonathan Ward
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 17)

Abstract

This paper investigates wet chemical etching of lead crystal glass, where it is necessary to use both hydrofluoric and sulphuric acid to dissolve all of the components of the glass. We consider a simple model of multi-component etching, consisting of a set of coupled linear ordinary differential equations. The long time behaviour is analysed using the method of steepest descents and the limiting etch rate is determined.

Keywords

Saddle Point Asymptotic Analysis Etch Rate Exposed Surface Microscopic Model 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.MACSI, Department of Mathematics and StatisticsUniversity of LimerickLimerickIreland

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