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The Stefan Problem.
The Stefan Problem (Kirchen Der Welt).
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
De Gruyter,
1992.
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| Colección: | De Gruyter expositions in mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface to the English edition; Preface; Introduction; Chapter I. Preliminaries; 1. Problem statement; 2. Assumed notation. Auxiliary notation; 2.1. Notation; 2.2. Basic function spaces; 2.3. Auxiliary inequalities and embedding theorems; 2.4. Auxiliary facts from analysis; 2.5. Properties of solutions of differential equations; 2.6. The Cauchy problem for the heat equation over smooth unbounded manifolds in the classes Hl+2, (l+2)/2(ST); 3. Existence and uniqueness of the generalized solution to the Stefan problem; Chapter II. Classical solution of the multidimensional Stefan problem
- 1. The one-phase Stefan problem. Main result2. The simplest problem setting; 3. Construction of approximate solutions to the one-phase Stefan problem over a small time interval; 4. A lower bound on the existence interval of the solution. Passage to the limit; 5. The two-phase Stefan problem; Chapter III. Existence of the classical solution to the multidimensional Stefan problem on an arbitrary time interval; 1. The one-phase Stefan problem; 2. The two-phase Stefan problem. Stability of the stationary solution; 2.1. Problem statement. Main result
- Chapter VI. Structure of the generalized solution to the one-phase Stefan problem. Existence of a mushy region1. The inhomogeneous heat equation. Formation of the mushy region; 2. The homogeneous heat equation. Dynamic interactions between the mushy phase and the solid/liquid phases; 3. The homogeneous heat equation. Coexistence of different phases; 4. The case of an arbitrary initial distribution of specific internal energy; Chapter VII. Time-periodic solutions of the one-dimensional Stefan problem; 1. Construction of the generalized solution