TY - GEN 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. DO - 10.1007/978-3-030-69917-8 DO - doi 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. T1 - Geometric flows on planar lattices / AU - Braides, Andrea, AU - Solci, Margherita, CN - QA641 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. SN - 9783030699178 SN - 303069917X TI - Geometric flows on planar lattices / LK - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-69917-8 UR - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-69917-8 ER -