A nonlinear stability analysis of a fixed-boundary model equation for alloy solidification

DOI10.1016/0895-7177(89)90443-3zbMath0671.35007OpenAlexW2018452374MaRDI QIDQ1119818

S. H. Smith

Publication date: 1989

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(89)90443-3

zbMATH Keywords

solid-liquid interfaceweakly nonlinear stabilityplane-front dilute binary alloy solidification

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Multiphase and multicomponent flows (76T99) Nonlinear higher-order PDEs (35G20)

Cites Work

• Finite amplitude cellular convection
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 2. The development of a solution for plane Poiseuille flow and for plane Couette flow
• Bénard convection with time-periodic heating
• Stability of Step Shocks
• Nonlinear Dynamic Stability: A Formal Theory
• Non-linear wave-number interaction in near-critical two-dimensional flows
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