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Emerging Problems in the Homogenization of Partial Differential Equations de Patrizia Donato

Emerging Problems in the Homogenization of Partial Differential Equations: SEMA SIMAI Springer Series, cartea 10

Editat de Patrizia Donato, Manuel Luna-Laynez
en Limba Engleză Paperback – 2 feb 2022
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. 
 
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Specificații

ISBN-13: 9783030620325
ISBN-10: 3030620328
Pagini: 114
Ilustrații: XI, 114 p. 14 illus., 11 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.19 kg
Ediția:1st ed. 2021
Editura: Springer International Publishing
Colecția Springer
Seriile SEMA SIMAI Springer Series, ICIAM 2019 SEMA SIMAI Springer Series

Locul publicării:Cham, Switzerland

Cuprins

Nika, G. and Vernescu, B., Micro-geometry effects on the nonlinear effective yield strength response of magnetorheological fluids.- Jerez-Hanckes, C. et al., Multiscale analysis of myelinated axons.- Pérez-Martínez, M., Homogenization for alternating boundary conditions with large reaction terms concentrated in small regions.-  G. Fulgencio, R. and Guibé, O.,  Quasilinear Elliptic Problems in a Two-Component Domain with L^1 data.- Donato, P. et al., Homogenization of  an eigenvalue problem in a two-component domain with  interfacial jump.

Notă biografică

Patrizia Donato, Professor at the University of Rouen Normandie, is author of 3 books and about 100 international articles on Partial Differential Equations, in particular their Homogenization.  She has given about 100 lectures and seminars and 15 research courses in several countries, and organized about 20 international scientific events. She directed or co-directed 15 PhD thesis. Member of the EMS Ethics Commettee, and of the editorial board of Asymptotic Analysis, and Ricerche di Matematica.
Manuel Luna-Laynez is Professor at the University of Seville. He is currently the Director of the Department of Differential Equations and Numerical Analysis. His main research interests concern homogenization theory and asymptotic analysis of partial differential equations posed in thin domains. He is the author of numerous publications focused on applications to the optimal design of materials, behavior of fluids in domains with rough boundaries, porous media and elastic multi-structures.

Textul de pe ultima copertă

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. 
 

Caracteristici

Some heterogeneus media: Solutions for weak data, and Macroscopic behaviour of eigenvalues and eigenvectors Magnetorheological fluids with suspensions having a microstructure Multiscale analysis of the potential action along a neuron with a myelinated axon