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Differential equations, Partial --- Phase transformations (Statistical physics) --- Transport theory --- Numerical solutions. --- Mathematical models.

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This volume originates from the INDAM Symposium on Trends on Applications of Mathematics to Mechanics (STAMM), which was held at the INDAM headquarters in Rome on 5–9 September 2016. It brings together original contributions at the interface of Mathematics and Mechanics. The focus is on mathematical models of phenomena issued from various applications. These include thermomechanics of solids and gases, nematic shells, thin films, dry friction, delamination, damage, and phase-field dynamics. The papers in the volume present novel results and identify possible future developments. The book is addressed to researchers involved in Mathematics and its applications to Mechanics.

Functional analysis. --- Mathematical physics. --- Mathematics. --- Mathematical models. --- Calculus of variations. --- Probabilities. --- Structural materials. --- Mathematical Applications in the Physical Sciences. --- Functional Analysis. --- Mathematical Modeling and Industrial Mathematics. --- Calculus of Variations and Optimal Control; Optimization. --- Probability Theory and Stochastic Processes. --- Structural Materials. --- Physical mathematics --- Physics --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Architectural materials --- Architecture --- Building --- Building supplies --- Buildings --- Construction materials --- Structural materials --- Materials --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Models, Mathematical --- Simulation methods --- Math --- Science --- Mathematical optimization. --- Distribution (Probability theory. --- Materials. --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Operations research --- System analysis

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Boundary value problems

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