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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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2199-3041 uspensions having a microstructure.Multiscale analysis of th.This book contains some of the results presented at the mini-symposium titled Emerging Problems in the Homogenization of Partial Differential Equations, held during the ICIAM2019 conference in Valencia in July 2019. The papers cover a larg
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Advancing Simulation Pedagogy and Researche 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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Daiva Kairienė,Stefanija Ališauskienėamics 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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Stephan Rietmann Dr. phil., Dipl. Psych.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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Claudia Welz-Spiegel,Frank Spiegele interface between them. The given function . belongs to ..(.). We first present a definition of a renormalized solution for this class of equations. The main result of this chapter is the existence of such a solution.
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https://doi.org/10.1007/978-3-319-56544-6fect 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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978-3-030-62032-5The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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