Weak solutions to the phase field system

DOI10.1080/10652469808819148zbMath0908.35143OpenAlexW1980161380MaRDI QIDQ3841106

Vladimir G. Danilov, E. V. Radkevich, Georgii A. Omel'yanov

Publication date: 25 October 1998

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469808819148

zbMATH Keywords

weak solutionsStefan-Gibbs-Thomson problemphase field equationsmushy regionlimiting problemswave-train

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items (2)

Soliton‐type asymptotics for non‐integrable equations: a survey ⋮ Propagation and interaction of solitons for nonintegrable equations

Cites Work

• The Gibbs-Thompson relation within the gradient theory of phase transitions
• Convergence of the phase-field equations to the Mullins-Sekerka problem with kinetic undercooling
• One property of the set of attainability of controllable differential inclusion
• Asymptotic of nonoscillating fundamental solution of \(h\)-pseudodifferential equations
• A Mushy Region in a Stefan Problem
• Solutions for the two-phase Stefan problem with the Gibbs–Thomson Law for the melting temperature

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