On the Weak Solution of Moving Boundary Problems
- 1 August 1979
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 24 (1) , 43-57
- https://doi.org/10.1093/imamat/24.1.43
Abstract
The weak formulation of moving boundary problems with possibly vanishing specific heat, that is governed by parabolic and/or elliptic differential equations, is developed. The uniqueness of the resulting weak solution is then proved. This approach is used to obtain numerical solutions to some physical examples, which arise in electrochemical machining processes, and in saturated/unsaturated flow in porous media.Keywords
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