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| Lecture notes of Madeira 2000 CIM-CIME Summer School |
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| Pierluigi Colli, 2003-07-14 08:00 UTC [#16] Published on 2003-07-14 20:41 UTC by Eberhard Bänsch |
| Topics: publications |
Pierluigi Colli and José Francisco Rodrigues are very pleased to announce the book containing the lecture notes of the C.I.M.-C.I.M.E. joint Euro-Summer School held in University of Madeira, Funchal, Portugal, July 3-9, 2000. The book, whose title is
Mathematical Aspects of Evolving Interfaces
(the same of the school), collects the contributions by L. Ambrosio, K. Deckelnick, G. Dziuk, M. Mimura, V.A. Solonnikov, and H.M. Soner and it has been edited by P. Colli and J.F. Rodrigues. The exact reference for the Springer series is Lecture Notes in Math. 1812, Fondazione C.I.M.E.. [C.I.M.E. Foundation], Springer-Verlag, Berlin 2003. Details can be found at the web page
http://www.springer.de/cgi/svcat/search_book.pl?isbn=3-540-14033-6
Interfaces are geometrical objects modelling free or moving
boundaries and arise in a wide range of phase change problems in
physical and biological sciences, in particular in material technology
and in dynamics of patterns. Especially in the end of last century, the
rigorous 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, modeling and numerical issues concerned with dynamics of
interfaces and free boundaries.
The book ``Mathematical Aspects of Evolving Interfaces'' contains five
contributions related to the five courses delivered by L. Ambrosio, G.
Dziuk, M. Mimura, V.A. Solonnikov, and H.M. Soner at the
C.I.M.-C.I.M.E. joint Euro-Summer School held in Madeira, Funchal,
Portugal, July 3-9, 2000. The five long articles are the following:
Lecture Notes on Optimal Transport Problems by Luigi Ambrosio,
Numerical Approximation of Mean Curvature Flow of Graphs and Level
Sets by Klaus Deckelnick and Gerhard Dziuk, Reaction-Diffusion
Systems Arising in Biological and Chemical Systems: Application of
Singular Limit Procedures by Masayasu Mimura, Lectures on
Evolution Free Boundary Problems: Classical Solutions by Vsevolod
A. Solonnikov, Variational and Dynamic Problems for the
Ginzburg-Landau Functional by Halil Mete Soner.