Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1812)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (5 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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 number of applied fields becomes increasingly important, so that the possibility of describing their dynamics through suitable mathematical models became one of the most challenging and interdisciplinary problems in applied mathematics. The 2000 Madeira school reported on mathematical advances in some theoretical, modelling and numerical issues concerned with dynamics of interfaces and free boundaries. Specifically, the five courses dealt with an assessment of recent results on the optimal transportation problem, the numerical approximation of moving fronts evolving by mean curvature, the dynamics of patterns and interfaces in some reaction-diffusion systems with chemical-biological applications, evolutionary free boundary problems of parabolic type or for Navier-Stokes equations, and a variational approach to evolution problems for the Ginzburg-Landau functional.
Bibliographic Information
Book Title: Mathematical Aspects of Evolving Interfaces
Book Subtitle: Lectures given at the C.I.M.-C.I.M.E. joint Euro-Summer School held in Madeira Funchal, Portugal, July 3-9, 2000
Authors: Luigi Ambrosio, Klaus Deckelnick, Gerhard Dziuk, Masayasu Mimura, Vsevolod A. Solonnikov, Halil Mete Soner
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b11357
Publisher: Springer Berlin, Heidelberg
-
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2003
Softcover ISBN: 978-3-540-14033-7Published: 12 June 2003
eBook ISBN: 978-3-540-39189-0Published: 01 January 2003
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 248
Topics: Partial Differential Equations, Differential Geometry, Classical and Continuum Physics, Thermodynamics