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- catalog abstract "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.".
- catalog contributor b12913389.
- catalog contributor b12913390.
- catalog contributor b12913391.
- catalog contributor b12913392.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "Includes bibliographical references.".
- catalog description "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.".
- catalog description "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.".
- catalog extent "ix, 243 p. :".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540140336 (softcover : acid-free paper)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1812.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1812".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "510 s 515/.35 21".
- catalog subject "Boundary value problems Congresses.".
- catalog subject "Differential equations, partial.".
- catalog subject "Global differential geometry.".
- catalog subject "Interfaces (Physical sciences) Mathematics Congresses.".
- catalog subject "Mathematical physics Congresses.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1812 QC20.7.B6".
- catalog subject "Reaction-diffusion equations Congresses.".
- catalog subject "Thermodynamics.".
- catalog tableOfContents "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.".
- catalog title "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 / L. Ambrosio ... [et al.] ; editors, P. Colli, J.F. Rodrigues.".
- catalog type "Computer network resources. local".
- catalog type "Conference proceedings. fast".
- catalog type "Electronic books. lcsh".
- catalog type "text".