Regularity of expanding front and its application to solidification/melting in undercooled liquid/superheated solid | Zendy

Xinfu Chen | Zendy; Huiqiang Jiang | Zendy

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Regularity of expanding front and its application to solidification/melting in undercooled liquid/superheated solid

Author(s) -

Xinfu Chen,

Huiqiang Jiang

Publication year - 2013

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/304

Subject(s) - superheating , supercooling , materials science , front (military) , thermodynamics , boundary (topology) , mechanics , kinetic energy , lipschitz continuity , stefan problem , mathematics , mathematical analysis , physics , classical mechanics , meteorology

This article proves that fronts of expanding domains with Hölder continuous speeds are contained in finite unions of Lipschitz graphs. As an application, the global in time existence of a solution to a free boundary problem modelling solidification in undercooled liquid or liquidation in superheated solid is established; here the propagation speed of the liquid/solid interface is assumed to be a known positive smooth function of the temperature, known as a kinetic undercooling/superheating effect.

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