Overview
- 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
Part of the book series: SEMA SIMAI Springer Series (SEMA SIMAI, volume 10)
Part of the book sub series: ICIAM 2019 SEMA SIMAI Springer Series (ICIAM2019SSSS)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (5 papers)
-
Front Matter
Keywords
About this book
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.
Editors and Affiliations
About the editors
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.Bibliographic Information
Book Title: Emerging Problems in the Homogenization of Partial Differential Equations
Editors: Patrizia Donato, Manuel Luna-Laynez
Series Title: SEMA SIMAI Springer Series
DOI: https://doi.org/10.1007/978-3-030-62030-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-62029-5Published: 02 February 2021
Softcover ISBN: 978-3-030-62032-5Published: 02 February 2022
eBook ISBN: 978-3-030-62030-1Published: 01 February 2021
Series ISSN: 2199-3041
Series E-ISSN: 2199-305X
Edition Number: 1
Number of Pages: XI, 114
Number of Illustrations: 3 b/w illustrations, 11 illustrations in colour
Topics: Mathematics, general, Analysis, Applications of Mathematics, Mathematical Models of Cognitive Processes and Neural Networks