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Verlag: Springer Nature Switzerland AG, Cham, 2021
ISBN 10: 3030620298 ISBN 13: 9783030620295
Sprache: Englisch
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In den WarenkorbHardcover. Zustand: new. Hardcover. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Verlag: Springer Nature Switzerland AG, Cham, 2022
ISBN 10: 3030620328 ISBN 13: 9783030620325
Sprache: Englisch
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In den WarenkorbPaperback. Zustand: new. Paperback. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Verlag: Birkhauser Boston Inc, Secaucus, 2005
ISBN 10: 0817643516 ISBN 13: 9780817643515
Sprache: Englisch
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In den WarenkorbHardcover. Zustand: new. Hardcover. Homogenization is a method for modelling processes in complex structures. These processes are far too complex for analytic and numerical methods and are best described by PDEs with rapidly oscillating coefficients - a technique that has become increasingly important in the last three decades due to its multiple applications in the areas of optimization, radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology. The present monograph is a comprehensive study of homogenization problems describing various physical processes in micro-inhomogeneous media. From the technical viewpoint the work focuses on the construction of nonstandard models for media characterized by several small-scale parameters (multiscale models). A variety of techniques are used --- specifically functional analysis, the spectral theory for differential operators, the Laplace transform, and, most importantly, a new variational PDE method for studying the asymptotic behavior of solutions of stationary boundary value problems. This new method can be applied to a wide variety of problems.Key topics in this systematic exposition include asymptotic analysis, Dirichlet- and Neumann-type boundary value problems, differential equations with rapidly oscillating coefficients, homogenization, homogenized and non-local models.Along with complete proofs of all main results, numerous examples of typical structures of micro-inhomogeneous media with their corresponding homogenized models are provided. Applied mathematicians, advanced-level graduate students, physicists, engineers, and specialists in mechanics will benefit from this monograph, which may be used in the classroom or as a comprehensive reference text. The work focuses on the construction of nonstandard models: non-local models, multicomponent models, and models with memory.Along with complete proofs of all main results, numerous examples of typical structures of microinhomogeneous media with their corresponding homogenized models are provided. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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In den WarenkorbZustand: New. 1st ed. 2021 edition NO-PA16APR2015-KAP.