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Titlebook: Research in Mathematics of Materials Science; Malena I. Español,Marta Lewicka,Anja Schlömerkempe Book 2022 The Editor(s) (if applicable) a

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Grain Growth and the Effect of Different Time Scalese consider two models for the motion of grain boundaries with the dynamic lattice misorientations and the triple junctions drag, and we conduct extensive numerical study of the models, as well as present relevant experimental results of grain growth in thin films.
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Existence of Global Solutions for 2D Fluid–Elastic Interaction with Small Dataf the proof are an approximation argument that transfers recent results on regularity-preserving strong solutions to a weaker functional analytic setting and energy and higher order estimates that globally bound corresponding norms.
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Doubly Nonlocal Cahn–Hilliard Equations-posedness of solutions is also shown for the steady-state system. In some specific nonlinear cases, we prove regularity and higher integrability properties of solutions by taking advantage of the convolution structure of the operators.
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Book 2022etry 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..
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Poro-Visco-Elasticity in Biomechanics: Optimal Controlye and its relationship to the development of glaucoma) using the sources present in the system as control variables. The results provided in this paper include existence and uniqueness of optimal control, as well as the characterization of the optimal control through the first order necessary optimality conditions, based on the adjoint system.
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Grain Growth and the Effect of Different Time Scales grain boundaries play a crucial role in determining the grain structure and defining the materials properties across multiple scales. In this work, we consider two models for the motion of grain boundaries with the dynamic lattice misorientations and the triple junctions drag, and we conduct extens
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Regularity of Minimizers for a General Class of Constrained Energies in Two-Dimensional Domains with of the Landau-de Gennes Q-tensor model for nematic liquid crystals. We prove regularity of minimizers with finite energy and show that their range on compact subdomains of Ω does not intersect the boundary of the constraining set. We apply this result to prove that minimizers of the constrained Lan
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