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 [and others] ; editors, P. Colli, J.F. Rodrigues.

By:

Euro-Summer School on Mathematical Aspects of Evolving Interfaces (2000 : Madeira, Madeira Islands)

Contributor(s):

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

3540140336
9783540140337
9783540391890
3540391894

Subject(s): Genre/Form:

Additional physical formats: 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, 2000DDC classification:

510 s 515/.35 21

LOC classification:

QA3 .L28 no. 1812 QC20.7.B6

Other classification:

31.81

Online resources:

Click here to access online

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.

Summary: 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.

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Title notes ( 3 )

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Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
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Includes bibliographical references.

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.