On the weakly nonlinear evolution of a perturbed planar solid-liquid interface

DOI10.1016/0167-2789(87)90017-0zbMath0663.35093OpenAlexW1975481525MaRDI QIDQ1114088

Michael L. Frankel

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90017-0

zbMATH Keywords

linear stability analysiscontinuum mechanicssolid-liquid interfaceinterface dynamicscrystalline anisotropynon-equilibrium interface temperaturenonlinear equation of the Kuramoto-Sivashinsky typeweakly nonlinear evolution

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

An intrinsic equation of interfacial motion for the solidification of a pure hypercooled melt, On the equation of a curved flame front, On the equation of pulsating flame fronts in solid fuel combustion, Rigorous derivation of the Kuramoto-Sivashinsky equation from a 2D weakly nonlinear Stefan problem, A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth, Effect of anisotropy on morphological instability in the freezing of a hypercooled melt

Cites Work

• On the equation of a curved flame front
• Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments