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Evolution equations. --- Lattice theory. --- Geometry, Differential. --- Differential geometry --- Lattices (Mathematics) --- Space lattice (Mathematics) --- Structural analysis (Mathematics) --- Algebra, Abstract --- Algebra, Boolean --- Group theory --- Set theory --- Topology --- Transformations (Mathematics) --- Crystallography, Mathematical --- Evolutionary equations --- Equations, Evolution --- Equations of evolution --- Differential equations --- Equacions d'evolució --- Teoria dels reticles --- Geometria diferencial --- Anàlisi estructural (Matemàtica) --- Reticles (Matemàtica) --- Teoria de reticles --- Teoria reticular --- Àlgebra abstracta --- Àlgebra de Boole --- Teoria de conjunts --- Teoria de grups --- Topologia --- Transformacions (Matemàtica) --- Percolació (Física estadística) --- Reticles cristal·lins --- Cristal·lografia matemàtica --- Equacions diferencials --- Geometria --- Càlcul de tensors --- Connexions (Matemàtica) --- Coordenades --- Corbes --- Cossos convexos --- Dominis convexos --- Espais de curvatura constant --- Espais simètrics --- Estructures hermitianes --- Formes diferencials --- G-estructures --- Geodèsiques (Matemàtica) --- Geometria de Riemann --- Geometria diferencial global --- Geometria integral --- Geometria simplèctica --- Hiperespai --- Subvarietats (Matemàtica) --- Topologia diferencial --- Varietats (Matemàtica) --- Varietats de Kähler
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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.
Differential geometry. Global analysis --- Functional analysis --- Mathematical analysis --- Numerical methods of optimisation --- Operational research. Game theory --- Mathematics --- analyse (wiskunde) --- differentiaal geometrie --- wiskunde --- kansrekening --- optimalisatie
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Differential geometry. Global analysis --- Functional analysis --- Mathematical analysis --- Numerical methods of optimisation --- Operational research. Game theory --- Mathematics --- analyse (wiskunde) --- differentiaal geometrie --- wiskunde --- kansrekening --- optimalisatie
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This book collects contributions presented at the INdAM Workshop "Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage–MACH2021", held in Rome, Italy in September 2021. The book is focused on mathematical modeling and simulation techniques with the aim of improving the current strategies of conservation and restoration in cultural heritage, sharing different experiences and approaches. The main topics are corrosion and sulphation of materials, damage and fractures, stress in thermomechanical systems, contact and adhesion problems, and phase transitions.
Differential equations. --- Mathematics. --- Differential Equations. --- Applications of Mathematics. --- Math --- Science --- 517.91 Differential equations --- Differential equations --- Patrimoni cultural --- Protecció del patrimoni cultural --- Models matemàtics
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This book collects contributions presented at the INdAM Workshop "Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage-MACH2021", held in Rome, Italy in September 2021. The book is focused on mathematical modeling and simulation techniques with the aim of improving the current strategies of conservation and restoration in cultural heritage, sharing different experiences and approaches. The main topics are corrosion and sulphation of materials, damage and fractures, stress in thermomechanical systems, contact and adhesion problems, and phase transitions.
Differential equations --- Mathematics --- differentiaalvergelijkingen --- toegepaste wiskunde --- wiskunde
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Social sciences (general) --- Sociology --- Numerical analysis --- Mathematics --- Materials sciences --- Planning (firm) --- materiaalkennis --- sociologie --- mathematische modellen --- sociale wetenschappen --- wiskunde --- numerieke analyse
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This work collects the contributions presented at the INdAM Workshop "Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage - MACH2019" held in Rome in March 2019. The book is focused on mathematical modeling and simulation techniques with the aim of improving the current strategies of conservation and restoration in cultural heritage, sharing different experiences and approaches. The main topics are: corrosion and sulphation of materials, damage and fractures, stress in thermomechanical systems, contact and adhesion problems, phase transitions and reaction-diffusion models, restoration techniques, additive manufacturing. The final goal is to build a permanent bridge between the experts in cultural heritage and the mathematical community. The work is addressed to experts in cultural heritage and to mathematicians.
Social sciences (general) --- Sociology --- Numerical analysis --- Mathematics --- Materials sciences --- Planning (firm) --- materiaalkennis --- sociologie --- mathematische modellen --- sociale wetenschappen --- wiskunde --- numerieke analyse
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