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espanol m research mathematics materials science 2022

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Textbook in PDF format This volume highlights contributions of women mathematicians in the study of complex materials and includes both original research papers and reviews. The featured topics and methods draw on the fields of Calculus of Variations, Partial Differential Equations, Functional Analysis, Differential Geometry and Topology, as well as Numerical Analysis and Mathematical Modelling. Areas of applications include foams, fluid-solid interactions, liquid crystals, shape-memory alloys, magnetic suspensions, failure in solids, plasticity, viscoelasticity, homogenization, crystallization, grain growth, and phase-field models. Interaction Between Oscillations and Singular Perturbations in a One-Dimensional Phase-Field Model Grain Growth and the Effect of Different Time Scales Regularity of Minimizers for a General Class of Constrained Energies in Two-Dimensional Domains with Applications to Liquid Crystals On Some Models in Radiation Hydrodynamics Poro-Visco-Elasticity in Biomechanics: Optimal Control Global Gradient Estimate for a Divergence Problem and Its Application to the Homogenization of a Magnetic Suspension On Static and Evolutionary Homogenization in Crystal Plasticity for Stratified Composites On the Prescription of Boundary Conditions for Nonlocal Poisson's and Peridynamics Models Existence of Global Solutions for 2D Fluid–Elastic Interaction with Small Data Doubly Nonlocal Cahn–Hilliard Equations 3D Image-Based Stochastic Micro-structure Modelling of Foams for Simulating Elasticity Machine Learning for Failure Analysis: A Mathematical Modelling Perspective Invertibility of Orlicz–Sobolev Maps Global Existence of Solutions for the One-Dimensional Response of Viscoelastic Solids Within the Context of Strain-Limiting Theory GENERIC for Dissipative Solids with Bulk–Interface Interaction Phase Separation in Heterogeneous Media Some Recent Results on 2D Crystallization for Sticky Disc Models and Generalizations for Systems of Oriented Particles Pattern Formation for Nematic Liquid Crystals—Modelling, Analysis, and Applications On Applications of Herglotz-Nevanlinna Functions in Material Sciences, I: Classical Theory and Applications of Sum Rules On Applications of Herglotz–Nevanlinna Functions in Material Sciences, II: Extended Applications and Generalized Theory Rigidity and Flexibility in the Modelling of Shape-Memory Alloys

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Espanol M. Research in Mathematics of Materials Science 2022.pdf 12.4 MB

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espanol m research mathematics materials science 2022

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