Abstract
A Ginzburg-Landau type functional for a multi-phase system involving a diffuse interface description of the phase boundaries is presented with the following calibration property: Prescribed surface energies (possibly anisotropic) of the phase transitions are correctly recovered in the sense of a Γ-limit as the thickness of the diffuse interfaces converges to zero. Possible applications are grain boundary motion and solidification of alloys on which numerical simulations are presented.
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© 2006 Birkhäuser Verlag Basel/Switzerland
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Stinner, B. (2006). Surface Energies in Multi-phase Systems with Diffuse Phase Boundaries. In: Figueiredo, I.N., Rodrigues, J.F., Santos, L. (eds) Free Boundary Problems. International Series of Numerical Mathematics, vol 154. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-7719-9_40
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DOI: https://doi.org/10.1007/978-3-7643-7719-9_40
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