Abstract
One can observe that a number of important one phase free boundary problems, both stationary and non-stationary, may be written as a set of partial differential equations and inequalities in the form of continuous linear complementarity problems. The purpose of this paper is to report on such formulations for two types of moving boundary problems arising in such diverse fields as heat conduction, electro-chemical machining and Hele-Shaw flow. Details of theorems and their proofs will be given elsewhere.
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Elliott, C.M. (1978). Moving Boundary Problems and Linear Complementarity. In: Albrecht, J., Collatz, L., Hämmerlin, G. (eds) Numerische Behandlung von Differentialgleichungen mit besonderer Berücksichtigung freier Randwertaufgaben. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 39. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5566-2_4
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DOI: https://doi.org/10.1007/978-3-0348-5566-2_4
Publisher Name: Birkhäuser, Basel
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