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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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书目名称Emerging Problems in the Homogenization of Partial Differential Equations
编辑Patrizia Donato,Manuel Luna-Laynez
视频video
概述Some heterogeneus media: Solutions for weak data, and Macroscopic behaviour of eigenvalues and eigenvectors.Magnetorheological fluids with suspensions having a microstructure.Multiscale analysis of th
丛书名称SEMA SIMAI Springer Series
图书封面Titlebook: Emerging Problems in the Homogenization of Partial Differential Equations;  Patrizia Donato,Manuel Luna-Laynez Conference proceedings 2021
描述.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 large range of topics, problems with weak regularity data involving renormalized solutions, eigenvalue problems for complicated shapes of the domain, homogenization of partial differential problems with strongly alternating boundary conditions of Robin type with large parameters, multiscale analysis of the potential action along a neuron with a myelinated axon, and multi-scale model of magnetorheological suspensions. The volume is addressed to scientists who deal with complex systems that presents several elements (characteristics, constituents...) of very different scales, very heterogeneous, and search for homogenized models providing an effective (macroscopic) description of their behaviors. .. .
出版日期Conference proceedings 2021
关键词Homogenization of Partial Differential Equations; Periodic Unfolding Methods; Eigenvalues Problems; Mag
版次1
doihttps://doi.org/10.1007/978-3-030-62030-1
isbn_softcover978-3-030-62032-5
isbn_ebook978-3-030-62030-1Series ISSN 2199-3041 Series E-ISSN 2199-305X
issn_series 2199-3041
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Advancing Simulation Pedagogy and Researchmerical simulations suggest that particle size is also important as the increase in the overall particle surface area can lead to a decrease in the overall magnetorheological effect while keeping the volume fraction constant.
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Conference proceedings 2021ns, held during the ICIAM2019 conference in Valencia in July 2019. The papers cover a large range of topics, problems with weak regularity data involving renormalized solutions, eigenvalue problems for complicated shapes of the domain, homogenization of partial differential problems with strongly al
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Multiscale Analysis of Myelinated Axons,ear in the one-dimensional limit equation, and the model geometry affects the limit solution implicitly through an auxiliary cell problem used to compute the effective coefficient. We present numerical examples revealing the forecasted dependence of the effective coefficient on the size of the Ranvier node.
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