TY  - GEN
AB  - 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.
AU  - Braides, Andrea,
AU  - Solci, Margherita,
CN  - QA641
DO  - 10.1007/978-3-030-69917-8
DO  - doi
ID  - 1435055
KW  - Geometry, Differential.
KW  - Lattice theory.
KW  - Evolution equations.
KW  - Geometric measure theory.
KW  - Géométrie différentielle.
KW  - Théorie des treillis.
KW  - Équations d'évolution.
KW  - Théorie de la mesure géométrique.
LK  - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-69917-8
N2  - 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.
SN  - 9783030699178
SN  - 303069917X
T1  - Geometric flows on planar lattices /
TI  - Geometric flows on planar lattices /
UR  - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-69917-8
ER  -