Titlebook: Homogenization of Partial Differential Equations; Vladimir A. Marchenko,Evgueni Ya. Khruslov Book 2006 Birkhäuser Boston 2006 Boundary val

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degree of instability. At times, it even looked as though it might not stay a?oat. Thankfully, several early boarders remained ?rmly anchored. Other authors were co-opted later, some at relatively short notice, one or two of them under mild duress. We 978-90-481-6974-0978-1-4020-3826-6Series ISSN 0924-5499 Series E-ISSN 2215-0072

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1544-9998 nhomogeneous 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 class978-0-8176-4468-0Series ISSN 1544-9998 Series E-ISSN 2197-1846

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Introduction, or close to periodic, structures depending on a single small parameter), in this book we study phenomena in media of arbitrary microstructure characterized by several small parameters (or even more complicated media). For such media, homogenized models of physical processes may have various forms d

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The Dirichlet Boundary Value Problem in Strongly Perforated Domains with Fine-Grained Boundary,l. Namely, we consider strongly perforated domains (domains with fine-grained boundary) having the following structure: . where Ω is a fixed domain in ℝ. and . (i=1,2, …s) (“grains”) are disjoint closed sets of decreasing, as .→∞, diameter; see Figure 2.1.

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The Neumann Boundary Value Problems in Strongly Perforated Domains,ider domains of three types: strongly connected domains, weakly connected domains, and domains with accumulators (traps). We will introduce quantitative mesoscopic (mean local) characteristics of domains (conductivity tensor and connectedness matrix) and derive characteristics of domains (conductivi

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Introduction

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