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The Stefan Problem

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Softcover ISBN: 978-1-4704-2850-1
Product Code: MMONO/27.S
List Price: $129.00 MAA Member Price:$116.10
AMS Member Price: $103.20 Electronic ISBN: 978-1-4704-4444-0 Product Code: MMONO/27.E List Price:$129.00
MAA Member Price: $116.10 AMS Member Price:$103.20
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List Price: $193.50 MAA Member Price:$174.15
AMS Member Price: $154.80 Click above image for expanded view The Stefan Problem Available Formats:  Softcover ISBN: 978-1-4704-2850-1 Product Code: MMONO/27.S  List Price:$129.00 MAA Member Price: $116.10 AMS Member Price:$103.20
 Electronic ISBN: 978-1-4704-4444-0 Product Code: MMONO/27.E
 List Price: $129.00 MAA Member Price:$116.10 AMS Member Price: $103.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$193.50 MAA Member Price: $174.15 AMS Member Price:$154.80
• Book Details

Translations of Mathematical Monographs
Volume: 271971; 419 pp
MSC: Primary 35;

• Chapters
• Introduction
• Diffusion of heat by conduction in a medium with a change of phase state
• Thermal diffusion processes in a medium with variable phase state
• Problems of the theory of filtration
• Some problems of mechanics of continuous media that reduce to problems of Stefan type
• The single-phase Stefan problem with strong nonlinearity
• The classical two-phase Stefan problem. The case of a two-phase initial state with continuous agreement of boundary and initial conditions
• The initial velocity of advance of the interphase boundary
• Solution of problems $A_1$ and $A_3$
• The double-layer Stefan problem with degeneration of one of the phases at the initial moment and a discontinuity in the boundary and initial conditions
• The spatial Stefan problem. Reduction to one dimension. The multi-phase stationary problem. A filtration analog to the Stefan problem
• The single-phase Stefan problem for a general one-dimensional equation of parabolic type. The generalized solution of the Stefan problem
• Numerical methods for the solution of the Stefan problem
• Problems
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Volume: 271971; 419 pp
MSC: Primary 35;
• Chapters
• Introduction
• Diffusion of heat by conduction in a medium with a change of phase state
• Thermal diffusion processes in a medium with variable phase state
• Problems of the theory of filtration
• Some problems of mechanics of continuous media that reduce to problems of Stefan type
• The single-phase Stefan problem with strong nonlinearity
• The classical two-phase Stefan problem. The case of a two-phase initial state with continuous agreement of boundary and initial conditions
• The initial velocity of advance of the interphase boundary
• Solution of problems $A_1$ and $A_3$
• The double-layer Stefan problem with degeneration of one of the phases at the initial moment and a discontinuity in the boundary and initial conditions
• The spatial Stefan problem. Reduction to one dimension. The multi-phase stationary problem. A filtration analog to the Stefan problem
• The single-phase Stefan problem for a general one-dimensional equation of parabolic type. The generalized solution of the Stefan problem
• Numerical methods for the solution of the Stefan problem
• Problems
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