Global solutions to a degenerate solutal phase-field model for the solidification of a binary alloy

DOI10.1016/S1468-1218(03)00034-8zbMath1073.35136OpenAlexW2123714172MaRDI QIDQ2386000

Jean-François Scheid

Publication date: 22 August 2005

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1468-1218(03)00034-8

zbMATH Keywords

weak solutionsphase transitionphase-field modeldegenerate parabolic systems

Mathematics Subject Classification ID

Related Items (3)

Mathematical analysis of a model describing solute trapping during solidification of binary alloys ⋮ Analysis of a three-dimensional phase-field model for solidification under a magnetic field effect ⋮ Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model

Cites Work

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• A property of multiplication in Sobolev spaces. Some applications
• Compact sets in the space \(L^ p(0,T;B)\)
• Introduction à la théorie des points critiques et applications aux problèmes elliptiques
• Weak solutions to a phase-field model with non-constant thermal conductivity
• Existence of solutions to a phase-field model for the isothermal solidification process of a binary alloy

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