We present a bibliography on moving and free boundary problems for the heat-diffusion equation, particularly regarding the Stefan and related problems. It contains 5869 titles referring to 588 scientific Journals, 122 books, 88 symposia (having at least 3 contributions on the subject), 30 collections, 59 thesis and 247 technical reports. It tries to give a comprehensive account of the western existing mathematical-physical-engineering literature on this research field.

1991 Mathematics Subject Classification compiled by Mathematical Reviews and Zentralblatt fur Mathematik.

Primary Mathematics Subject Classification Number: 35R35, 80A22

Secondary Mathematics Subject Classification Number: 35B40, 35C05, 35C15, 35Kxx, 35R30, 46N20, 49J20, 65Mxx, 65Nxx, 76R50, 76S05, 76T05, 93C20.

Primary key words: Enthalpy formulation or method, Filtration, Free boundary problems, Freezing, Melting, Moving boundary problems, Mushy region, Phase-change problem, Solidification, Stefan problem.

Secondary key words: Continuous mechanics, Diffusion process, Functional analysis, Heat conduction, Mathematical methods, Numerical methods, Partial differential equations, Variational inequalities, Weak solutions.

This personal bibliography on moving and free boundary problems (M-FBP) for the heat-diffusion equation (H-DE) contains about 5900 references to works appeared on approximately 884 different kinds of publications. It tries to give a comprehensive account of the western existing mathematical-physical-engineering literature on this research field.

See the attachment file or visit www.austral.edu.ar/MAT-SerieA/2(2000)