An existence and uniqueness result for a phase-field model of diffusion-induced grain-boundary motion

Authors: Deckelnick K.; Elliott C.M.

Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh, Volume 131, Number 6, 14 December 2001 , pp. 1323-1344(22)

Publisher: Royal Society of Edinburgh

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Abstract:

We consider a phase-field model for diffusion-induced grain boundary motion. The model couples a parabolic variational inequality to a degenerate diffusion equation. Using a regularization technique, we prove an existence theorem for the resulting system. We also obtain a uniqueness result, provided the solution has some additional regularity.

Document Type: Research article

Publication date: 2001-12-14