A bidimensional phase-field model with convection for change phase of an alloy

DOI10.1016/j.jmaa.2004.08.068zbMath1067.35157OpenAlexW2093690402MaRDI QIDQ1771006

José Luiz Boldrini, Gabriela Planas

Publication date: 7 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.08.068

zbMATH Keywords

approximate solutionsexistence of weak solutionsmodified Navier-Stokes equationsphase-field equationsolidification of a binary alloymushy effects

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items (max. 100)

Analysis and optimal control of some solidification processes ⋮ Three-dimensional solidification with two possible crystallization states: Existence of solutions with flow in the melt ⋮ Solutions of an advected phase field system with low regularity velocity ⋮ Analysis of a three-dimensional phase-field model for solidification under a magnetic field effect ⋮ A mathematical analysis of fluid motion in irreversible phase transitions

Cites Work

• Compact sets in the space \(L^ p(0,T;B)\)
• Geometric theory of semilinear parabolic equations
• Optimal control of a phase field model for solidification
• Some questions in the optimal control of distributed systems
• Existence for a stationary model of binary alloy solidification
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