Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Optimization of crystal growth with diffusion

Author: Gustaf Gripenberg
Journal: Quart. Appl. Math. 40 (1982), 297-310
MSC: Primary 49A34; Secondary 35K05, 35R35, 45D05
DOI: https://doi.org/10.1090/qam/678201
MathSciNet review: 678201
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Abstract: A crystal growth process involving diffusion in a half-space is studied. Both the diffusion coefficient and the interface reaction term are assumed to depend on a control parameter that is (e.g.) a function of temperature. The thickness of the deposited film after a given time or the time to reach a certain thickness is to be optimized. The full Stefan problem is not considered and the diffusion coefficient is assumed to vary slowly with the parameter.

References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/678201
Article copyright: © Copyright 1982 American Mathematical Society

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