Ebook: Models of Phase Transitions

"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

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Content:
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

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Content:
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
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