A mathematical analysis of a nonisothermal Allen-Cahn type system: error estimates

DOI10.1002/MMA.2505zbMath1250.35121OpenAlexW2056572510MaRDI QIDQ2912306

José Luiz Boldrini, Cristina L. D. Vaz

Publication date: 14 September 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2505

zbMATH Keywords

phase transitionssolidificationphase-fieldbinary alloysemidiscrete spectral Galerkin method

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stefan problems, phase changes, etc. (80A22) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Well-posedness for a phase-field transition system endowed with a polynomial nonlinearity and a general class of nonlinear dynamic boundary conditions

Cites Work

• Unnamed Item
• A generalized phase-field system
• Modeling melt convection in phase-field simulations of solidification
• Existence of solutions to a phase-field model for the isothermal solidification process of a binary alloy

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