Anisotropic Isoperimetric Problems and Related Topics

Language: English

Published by Springer, Springer Dez 2024, 2024

9819769833 / 9789819769834

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -This book contains contributions from speakers at the 'Anisotropic Isoperimetric Problems & Related Topics' conference in Rome, held from Sep 5 to 9, 2022.The classic isoperimetric problem has fascinated mathematicians of all eras, starting from the ancient Greeks, due to its simple statement: what are the sets of a given volume with minimal perimeter The problem is mathematically well understood, and it plays a crucial role in explaining physical phenomena such as soap bubble shapes.Variations of the problem, including weighted counterparts with density dependencies, representing inhomogeneity and anisotropy of the medium, broaden its applicability, even in non-Euclidean environments, and they allow for descriptions, e.g., of crystal shapes.At large, the perimeter's physical interpretation is that of an attractive force; hence, it also appears in describing systems of particles where a balance between attractive and repulsive forces appears. A prominent example is that of Gamow's liquid drop model for atomic nuclei, where protons are subject to the strong nuclear attractive force (represented by the perimeter) and the electromagnetic repulsive force (represented by a nonlocal term). Such a model has been shown to be sound, as it explains the basic characteristics of the nuclei, and it successfully predicts nuclear fission for nuclei with a large atomic number.Similar energy functionals model various physical and biological systems, showcasing the competition between short-range interfacial and long-range nonlocal terms, leading to pattern formation. The authors mention, e.g., the Ohta-Kawasaki model for microphase separation of diblock copolymers and the Yukawa potential for colloidal systems. Despite diverse systems, the emergence of microphases follows similar patterns, although rigorously proving this phenomenon remains a challenge.The book collects several contributions within these topics, shedding light on the current state of the art. 224 pp. Englisch.…

Seller Inventory # 9789819769834

Title
Anisotropic Isoperimetric Problems and Related Topics
Author
Valentina Franceschi
Publisher
Springer, Springer Dez 2024
Publication year
2024
Condition
Neu
Binding
Buch
Language
English
ISBN 10
9819769833
ISBN 13
9789819769834
Item weight
504 grams
Dimensions
241x160x18 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

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