Free and Moving Boundary Problems [Paperback]

Here is a wide-ranging, comprehensive account of the mathematical formulation of problems involving free boundaries as they occur in such diverse areas as hydrology, metallurgy, chemical engineering, soil science, molecular biology, materials science, and steel and glass production. Many new methods of solution are discussed, including modern computer techniques which address multidimensional, multiphase practical problems.

1. Moving-Boundary Problems: Formulation
2. Free-Boundary Problems: Formulation
3. Analytical Solutions
4. Front-Tracking Methods
5. Front-Fixing Methods
6. Fixed-Domain Methods
7. Analytical Solution of Seepage Problems
8. Numerical Solution of Free-Boundary Problems

This book addresses an area that lies at one of the crucial interfaces between mathematics and engineering....Crank's book is especially strong on references, ranging from mathematical classics of the nineteenth century through the important work of recent years. We recommend it. --AppliedMechanics Reviews

The book succeeds in its aim of presenting a broad but detailed account of mathematical and numerical methods for free-and moving-boundary problems that will be accessible to researchers both in the applied sciences and in applied mathematics. --SIAM Review

Clearly and logically presented with good diagrams and an excellent printing format. --The New York Public Library

So would I buy the book? I would rather starve, not pay my mortgage, and go bankrupt that do without this book. Anyone involved in moving or free boundary value problems should have this book and, I suspect, a large number of others. --Geophysics