Reader's Guide.- 1. Some Nonlinear P.D.E.s.- Prelude.- I. Models and P.D.E.s.- II. A Class of Quasilinear Parabolic P.D.E.s.- III. Doubly Nonlinear Parabolic P.D.E.s.- 2. Phase Transitions.- IV. The Stefan Problem.- V. Generalizations of the Stefan Problem.- VI. The Gibbs-Thomson Law.- VII. Nucleation and Growth.- VIII. The Stefan-Gibbs-Thomson Problem with Nucleation.- IX. Two-Scale Models of Phase Transitions.- X. Compactness by Strict Convexity.- XI. Toolbox.- Book Selection.
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