Interfacial instabilities in directional solidification of dilute binary alloys: the Kuramoto-Sivashinsky equation

DOI10.1016/0167-2789(87)90240-5zbMath0625.58035OpenAlexW1994770663MaRDI QIDQ579713

Amy Novick-Cohen

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/3318

zbMATH Keywords

Kuramoto-Sivashinsky equationsolidification processes

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Diffusion (76R50) Stefan problems, phase changes, etc. (80A22)

Related Items

An intrinsic equation of interfacial motion for the solidification of a pure hypercooled melt, Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition, Small scale properties of the stochastic stabilized Kuramoto-Sivashinsky equation, Optimal parameter-dependent bounds for Kuramoto-Sivashinsky-type equations, Large-amplitude solutions to the Sivashinsky and Riley-Davis equations for directional solidification, Rayleigh-Taylor instability of steady fronts described by the Kuramoto-Sivashinsky equation

Cites Work

• On the solidification front of a dilute binary alloy: Thermal diffusivity effects and breathing solutions
• Instability and Turbulence of Wavefronts in Reaction-Diffusion Systems
• Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments