Andrea Braides,
Margherita Solci
Geometric Flows on Planar Lattices
Gebonden Engels 2021 9783030699161
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783030699161
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer International Publishing
Serie:Pathways in Mathematics
Lezersrecensies
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Inhoudsopgave
- Introduction: Motion on Lattices. - Variational Evolution. - Discrete-to-Continuum Limits of Planar Lattice Energies. - Evolution of Planar Lattices. - Perspectives: Evolutions with Microstructure.
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