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The Stefan Problem
 
Front Cover for 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
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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
Front Cover for The Stefan Problem
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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;
  • Table of Contents
     
     
    • 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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