Mathematical Aspects of Evolving Interfaces Lectures given at the C.I.M.-C.I.M.E. joint Euro-Summer School held in Madeira Funchal, Portugal, July 3-9, 2000 /

• Main Authors: Ambrosio, Luigi (Author, http://id.loc.gov/vocabulary/relators/aut), Deckelnick, Klaus (http://id.loc.gov/vocabulary/relators/aut), Dziuk, Gerhard (http://id.loc.gov/vocabulary/relators/aut), Mimura, Masayasu (http://id.loc.gov/vocabulary/relators/aut), Solonnikov, Vsvolod (http://id.loc.gov/vocabulary/relators/aut), Soner, Halil Mete (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Colli, Pierluigi (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: C.I.M.E. Foundation Subseries ; 1812
• Subjects: Partial differential equations.; Differential geometry.; Continuum physics.; Thermodynamics.; Partial Differential Equations.; Differential Geometry.; Classical and Continuum Physics.

Interfaces are geometrical objects modelling free or moving boundaries and arise in a wide range of phase change problems in physical and biological sciences, particularly in material technology and in dynamics of patterns. Especially in the end of last century, the study of evolving interfaces in a...

Table of Contents:

• Preface
• 1. L. Ambrosio: Lecture Notes on Optimal Transport Problems
• 2. K. Deckelnick and G. Gziuk: Numerical Approximation of Mean Curvature Flow of Graphs and Level Sets
• 3. M. Mimura: Reaction-Diffusion Systems Arising in Biological and Chemical Systems: Application of Singular Limit Procedures
• 4. V. A. Solonnikov: Lectures on Evolution Free Boundary Problems: Classical Solutions
• 5. H. M. Soner: Variational and Dynamic Problems for the Ginzburg-Landau Functional.