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Item Details
Title:
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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 |
By: |
Luigi Ambrosio, Klaus Deckelnick, Gerhard Dziuk |
Format: |
Paperback |
List price:
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£28.50 |
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further information.
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ISBN 10: |
3540140336 |
ISBN 13: |
9783540140337 |
Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
Pub. date: |
12 June, 2003 |
Edition: |
2003 ed. |
Series: |
Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries v.1812 |
Pages: |
248 |
Synopsis: |
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. |
Illustrations: |
biography |
Publication: |
Germany |
Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
Returns: |
Returnable |
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