Emerging Problems In The Homogenization Of Partial Differential Equations PDF Download
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Author | : Patrizia Donato |
Publisher | : Springer Nature |
Total Pages | : 122 |
Release | : 2021-02-01 |
Genre | : Mathematics |
ISBN | : 3030620301 |
Download Emerging Problems in the Homogenization of Partial Differential Equations Book in PDF, ePub and Kindle
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.
Author | : Patrizia Donato |
Publisher | : |
Total Pages | : 0 |
Release | : 2021 |
Genre | : |
ISBN | : 9783030620318 |
Download Emerging Problems in the Homogenization of Partial Differential Equations Book in PDF, ePub and Kindle
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. .
Author | : Doïna Cioranescu |
Publisher | : Oxford University Press on Demand |
Total Pages | : 262 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9780198565543 |
Download An Introduction to Homogenization Book in PDF, ePub and Kindle
Composite materials are widely used in industry: well-known examples of this are the superconducting multi-filamentary composites which are used in the composition of optical fibres. Such materials are complicated to model, as different points in the material will have different properties. The mathematical theory of homogenization is designed to deal with this problem, and hence is used to model the behaviour of these important materials. This book provides a self-contained and authoritative introduction to the subject for graduates and researchers in the field.
Author | : Vasiliĭ Vasilʹevich Zhikov |
Publisher | : Springer |
Total Pages | : 590 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : |
Download Homogenization of Differential Operators and Integral Functionals Book in PDF, ePub and Kindle
This extensive study of the theory of the homogenization of partial differential equations explores solutions to the problems which arise in mathematics, science and engineering. The reference aims to provide the basis for new research devoted to these problems.
Author | : Gabriel R. Barrenechea |
Publisher | : Springer |
Total Pages | : 433 |
Release | : 2016-10-03 |
Genre | : Computers |
ISBN | : 3319416405 |
Download Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations Book in PDF, ePub and Kindle
This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium “Building bridges: connections and challenges in modern approaches to numerical partial differential equations”. This meeting took place in July 8-16, 2014, and its main purpose was to gather specialists in emerging areas of numerical PDEs, and explore the connections between the different approaches. The type of contributions ranges from the theoretical foundations of these new techniques, to the applications of them, to new general frameworks and unified approaches that can cover one, or more than one, of these emerging techniques.
Author | : Olga Oleinik |
Publisher | : Cambridge University Press |
Total Pages | : 216 |
Release | : 1996-02-23 |
Genre | : Mathematics |
ISBN | : 9780521480833 |
Download Some Asymptotic Problems in the Theory of Partial Differential Equations Book in PDF, ePub and Kindle
In this book, Professor Oleinik highlights her work in the area of partial differential equations. The book is divided into two parts: the first is devoted to the study of the asymptotic behavior at infinity of solutions of a class of nonlinear second order elliptic equations in unbounded and, in particular, cylindrical domains. The second contains the most recent results of the author in the theory of homogenization of partial differential equations and is concerned with questions about partially perforated domains and of solutions with rapidly alternating types of boundary conditions. Many of the results here have not appeared in book form before, and it sheds new light on the subject, raising many new ideas and open problems.
Author | : Tomás Chacón Rebollo |
Publisher | : Springer Nature |
Total Pages | : 276 |
Release | : 2022 |
Genre | : |
ISBN | : 3030862364 |
Download Recent Advances in Industrial and Applied Mathematics Book in PDF, ePub and Kindle
This open access book contains review papers authored by thirteen plenary invited speakers to the 9th International Congress on Industrial and Applied Mathematics (Valencia, July 15-19, 2019). Written by top-level scientists recognized worldwide, the scientific contributions cover a wide range of cutting-edge topics of industrial and applied mathematics: mathematical modeling, industrial and environmental mathematics, mathematical biology and medicine, reduced-order modeling and cryptography. The book also includes an introductory chapter summarizing the main features of the congress. This is the first volume of a thematic series dedicated to research results presented at ICIAM 2019-Valencia Congress.
Author | : Michel Marie Chipot |
Publisher | : World Scientific |
Total Pages | : 264 |
Release | : 2016-06-14 |
Genre | : Mathematics |
ISBN | : 178326893X |
Download Asymptotic Issues for Some Partial Differential Equations Book in PDF, ePub and Kindle
Much progress has been made in recent years on the issue of asymptotic behavior of problems set in cylinders. This book goes one step further by presenting the latest accomplishments on asymptotic behavior in domains which become unbounded. It also investigates new issues which have emerged including existence and uniqueness of solution in unbounded domains, anisotropic singular perturbations, periodic behavior forced by periodic data. These new advances are treated with original techniques developed to investigate the asymptotic behavior of various problems. Theories investigated throughout the book can be applied to other problems related to partial differential equations, making it an important text for students and researchers within the discipline. Asymptotic Issues for Some Partial Differential Equations is an updated account of ℓ Goes to Plus Infinity, published by Birkhäuser in 2002. Contents:IntroductionThe Dirichlet Problem in Some Unbounded DomainsThe Pure Neumann ProblemPeriodic ProblemsAnisotropic Singular Perturbation ProblemsEigenvalue ProblemsElliptic SystemsThe Stokes ProblemVariational InequalitiesCalculus of Variations Readership: The book can be used as an academic resource for graduate students and researchers in applied mathematics and engineering.
Author | : Mark I. Freidlin |
Publisher | : Birkhäuser |
Total Pages | : 155 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034891911 |
Download Markov Processes and Differential Equations Book in PDF, ePub and Kindle
Probabilistic methods can be applied very successfully to a number of asymptotic problems for second-order linear and non-linear partial differential equations. Due to the close connection between the second order differential operators with a non-negative characteristic form on the one hand and Markov processes on the other, many problems in PDE's can be reformulated as problems for corresponding stochastic processes and vice versa. In the present book four classes of problems are considered: - the Dirichlet problem with a small parameter in higher derivatives for differential equations and systems - the averaging principle for stochastic processes and PDE's - homogenization in PDE's and in stochastic processes - wave front propagation for semilinear differential equations and systems. From the probabilistic point of view, the first two topics concern random perturbations of dynamical systems. The third topic, homog- enization, is a natural problem for stochastic processes as well as for PDE's. Wave fronts in semilinear PDE's are interesting examples of pattern formation in reaction-diffusion equations. The text presents new results in probability theory and their applica- tion to the above problems. Various examples help the reader to understand the effects. Prerequisites are knowledge in probability theory and in partial differential equations.
Author | : Vladimir A. Marchenko |
Publisher | : Springer Science & Business Media |
Total Pages | : 407 |
Release | : 2008-12-22 |
Genre | : Mathematics |
ISBN | : 0817644687 |
Download Homogenization of Partial Differential Equations Book in PDF, ePub and Kindle
A comprehensive study of homogenized problems, focusing on the construction of nonstandard models Details a method for modeling processes in microinhomogeneous media (radiophysics, filtration theory, rheology, elasticity theory, and other domains) Complete proofs of all main results, numerous examples Classroom text or comprehensive reference for graduate students, applied mathematicians, physicists, and engineers