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Geometric Flows on Planar Lattices

Geometric Flows on Planar Lattices

Hardcover

Series: Pathways in Mathematics

General MathematicsGeometry

ISBN10: 3030699161
ISBN13: 9783030699161
Publisher: Birkhauser
Published: Mar 24 2021
Pages: 134
Weight: 0.84
Height: 0.38 Width: 6.14 Depth: 9.21
Language: English
This book introduces the reader to important concepts in modern applied analysis, such as homogenization, gradient flows on metric spaces, geometric evolution, Gamma-convergence tools, applications of geometric measure theory, properties of interfacial energies, etc. This is done by tackling a prototypical problem of interfacial evolution in heterogeneous media, where these concepts are introduced and elaborated in a natural and constructive way. At the same time, the analysis introduces open issues of a general and fundamental nature, at the core of important applications. The focus on two-dimensional lattices as a prototype of heterogeneous media allows visual descriptions of concepts and methods through a large amount of illustrations.

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