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A bibliography on moving-free boundary problems for the heat-diffusion equation. The Stefan and related problems. (English) Zbl 0963.35207

MAT. Serie A: Conferencias, Seminarios y Trabajos de Matemática. 2. Rosario: Universidad Austral, Facultad de Ciencias Empresariales, Departamento de Matemática, 16 p. (2000).
From the introduction: This personal bibliography on moving and free boundary problems for the heat-diffusion equation contains about 5900 references to works appeared on approximately 884 different kinds of publications. It tries to give a comprehensive account of the western exiting mathematical-physical-engineering literature on this research field.
Almost all the material on the subject, published after the historical and first paper of Lamé-Clapeyron (1831), has been collected. Sources include scientific journals, symposium or conference proceedings, technical reports and books.
References quoted in Tarzia (1981, 1984, 1988) (773, 936 and 2528 references in the years 1981, 1984 and 1988, respectively, Zbl 0694.35221) are included in the present bibliography.

MSC:

35R35 Free boundary problems for PDEs
00A15 Bibliographies for mathematics in general
35-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to partial differential equations
35Kxx Parabolic equations and parabolic systems
46Nxx Miscellaneous applications of functional analysis
65Mxx Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
65Nxx Numerical methods for partial differential equations, boundary value problems

Citations:

Zbl 0694.35221
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