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Titlebook: Emerging Problems in the Homogenization of Partial Differential Equations; Patrizia Donato,Manuel Luna-Laynez Conference proceedings 2021

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Micro-geometry Effects on the Nonlinear Effective Yield Strength Response of Magnetorheological Flue effect particle chain microstructures have on the properties of the magnetorheological fluid. The model allows to compute the constitutive coefficients for different geometries. Different geometrical realizations of chains can significantly alter the magnetorheological effect of the suspension. Nu
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Multiscale Analysis of Myelinated Axons,amics at Ranvier nodes (unmyelinated areas). Assuming a periodic microstructure with alternating myelinated and unmyelinated parts, we use homogenization methods to derive a one-dimensional nonlinear cable equation describing the potential propagation along the neuron. Since the resistivity of intra
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Homogenization for Alternating Boundary Conditions with Large Reaction Terms Concentrated in Small ct with the plane. On this part, the boundary conditions alternate from Neumann to Robin, being of Dirichlet type outside. The Robin conditions are imposed on small regions periodically placed along the plane and contain a . that can be very large. The period tends to zero, and we provide all the po
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Homogenization of an Eigenvalue Problem in a Two-Component Domain with Interfacial Jump,fect interface. We obtain characterizations of the eigenvalues and give homogenization results using the periodic unfolding method. The eigenvalues of the .-problem converge to the corresponding eigenvalues of the limit problem, for the whole sequence. The same convergence result is obtained for the
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