书目名称 | Homogenization of Partial Differential Equations | 编辑 | Vladimir A. Marchenko,Evgueni Ya. Khruslov | 视频video | | 概述 | 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, | 丛书名称 | Progress in Mathematical Physics | 图书封面 |  | 描述 | .Homogenization is a method for modeling processes in microinhomogeneous media, which are encountered in radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology. These processes are described by PDEs with rapidly oscillating coefficients or boundary value problems in domains with complex microstructure. From the technical point of view, given the complexity of these processes, the best techniques to solve a wide variety of problems involve constructing appropriate macroscopic (homogenized) models...The present monograph is a comprehensive study of homogenized problems, based on the asymptotic analysis of boundary value problems as the characteristic scales of the microstructure decrease to zero. 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. Graduate students, applied mathematicians, physicists, and engineers will benefit from this monograph, which may be used in the class | 出版日期 | Book 2006 | 关键词 | Boundary value problem; asymptotic analysis; complexity; differential equation; elasticity; mechanics; mod | 版次 | 1 | doi | https://doi.org/10.1007/978-0-8176-4468-0 | isbn_ebook | 978-0-8176-4468-0Series ISSN 1544-9998 Series E-ISSN 2197-1846 | issn_series | 1544-9998 | copyright | Birkhäuser Boston 2006 |
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