Models of Phase Transitions

✍ Scribed by Augusto Visintin (auth.)

Publisher: Birkhäuser Basel
Year: 1996
Tongue: English
Leaves: 333
Series: Progress in Nonlinear Differential Equations and Their Applications 28
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

"The book is well organized, concise and clearly written with a strict interplay between physics and mathematics... Largely self-contained ... highly recommended to all graduate students and reserachers in applied mathematics."

--ZAA

✦ Table of Contents

Front Matter....Pages i-ix
Introduction....Pages 1-5
Models and P.D.E.s....Pages 6-30
A Class of Quasilinear Parabolic P.D.E.s....Pages 31-67
Doubly Nonlinear Parabolic P.D.E.s....Pages 68-89
The Stefan Problem....Pages 90-122
Generalizations of the Stefan Problem....Pages 123-154
The Gibbs-Thomson Law....Pages 155-177
Nucleation and Growth....Pages 178-202
The Stefan-Gibbs-Thomson Problem with Nucleation....Pages 203-228
Two-Scale Models of Phase Transitions....Pages 229-247
Compactness by Strict Convexity....Pages 248-259
Toolbox....Pages 260-294
Back Matter....Pages 295-325

✦ Subjects

Partial Differential Equations;Statistical Physics, Dynamical Systems and Complexity;Mathematical Methods in Physics

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