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The Stefan Problem
| Softcover ISBN: | 978-1-4704-2850-1 |
| Product Code: | MMONO/27.S |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-4444-0 |
| Product Code: | MMONO/27.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Softcover ISBN: | 978-1-4704-2850-1 |
| eBook: ISBN: | 978-1-4704-4444-0 |
| Product Code: | MMONO/27.S.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
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The Stefan Problem
| Softcover ISBN: | 978-1-4704-2850-1 |
| Product Code: | MMONO/27.S |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-4444-0 |
| Product Code: | MMONO/27.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Softcover ISBN: | 978-1-4704-2850-1 |
| eBook ISBN: | 978-1-4704-4444-0 |
| Product Code: | MMONO/27.S.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
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Book DetailsTranslations of Mathematical MonographsVolume: 27; 1971; 419 ppMSC: Primary 35
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Table of Contents
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Chapters
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Introduction
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Diffusion of heat by conduction in a medium with a change of phase state
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Thermal diffusion processes in a medium with variable phase state
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Problems of the theory of filtration
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Some problems of mechanics of continuous media that reduce to problems of Stefan type
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The single-phase Stefan problem with strong nonlinearity
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The classical two-phase Stefan problem. The case of a two-phase initial state with continuous agreement of boundary and initial conditions
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The initial velocity of advance of the interphase boundary
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Solution of problems $A_1$ and $A_3$
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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
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The spatial Stefan problem. Reduction to one dimension. The multi-phase stationary problem. A filtration analog to the Stefan problem
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The single-phase Stefan problem for a general one-dimensional equation of parabolic type. The generalized solution of the Stefan problem
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Numerical methods for the solution of the Stefan problem
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Problems
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
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
Review Copy – for publishers of book reviews
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