Modes of Multi-Phase Systems (Progress in Nonlinear Differential Equations and Their Applications)
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Book Description
Phase transitions occur in several processes of physical and engineering interest. This book deals with the analysis of models of solid-liquid systems. Its main purpose is to offer an introduction to the classical Stefan problem and to some of its physically motivated extensions.
The presentation is characterized by a strict interplay between physics and mathematics. Macroscopic, mesoscopic and two-scale models for Stefan-type problems lead to the formulation of initial and boundary -value problems for nonlinear PDEs Their analysis is developed in the framework of Sobolev spaces. Nucleation and surface tension phenomena are also discussed and new results are presented. All the analytical tools used are illustrated, to make the volume self-contained. Special concern is devoted to variational inequalities, to the recently developed technique of compactness by strict convexity.
This book is aimed at students and researchers in applied mathematics and in nonlinear PDEs, and also at physicists and engineers with mathematical background.
Modes of Multi-Phase Systems (Progress in Nonlinear Differential Equations and Their Applications),Augusto Visintin,Birkhauser,0817637680,Applied,Differential equations, Partia,Differential equations, Partial,Mathematical Models,Mathematical Physics,Mathematics,Numerical solutions,Phase transformations (Statist,Phase transformations (Statistical physics),Science,Science/Mathematics,Solid State Physics,Statistical Physics,Transport theory,Condensed matter physics (liquids & solids),Mathematical modelling,Mathematics / Differential Equations
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