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Filtration in Porous Media and Industrial Application

Lectures given at the 4th Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, August 24-29, 1998

  • Book
  • © 2000

Overview

Authors:
  1. Magne Espedal
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  2. Antonio Fasano
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  3. Andro Mikelić
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Editors:
  1. A. Fasano
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1734)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-VII
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  2. Some general facts about filtration through porous media

    • Antonio Fasano
    Pages 1-8

  3. Numerical solution of reservoir flow models based on large time step operator splitting algorithms

    • Magne S. Espedal, Kenneth Hvistendahl Karlsen
    Pages 9-77

  4. Filtration problems in various industrial processes

    • Antonio Fasano
    Pages 79-126

  5. Homogenization theory and applications to filtration through porous media

    • Andro Mikelić
    Pages 127-214

  6. Back Matter

    Pages 215-218
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Keywords

About this book

This book is devoted to the presentation of some flow problems in porous media having relevant industrial applications. The main topics covered are: the manufacturing of composite materials, the espresso coffee brewing process, the filtration of liquids through diapers, various questions about flow problems in oil reservoirs and the theory of homogenization. The aim is to show that filtration problems arising in very practical industrial context exhibit interesting and highly nontrivial mathematical aspects. Thus the style of the book is mathematically rigorous, but specifically oriented towards applications, so that it is intended for both applied mathematicians and researchers in various areas of technological interest. The reader is required to have a good knowledge of the classical theory of PDE and basic functional analysis.

Bibliographic Information

  • Book Title: Filtration in Porous Media and Industrial Application

  • Book Subtitle: Lectures given at the 4th Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, August 24-29, 1998

  • Authors: Magne Espedal, Antonio Fasano, Andro Mikelić

  • Editors: A. Fasano

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0103973

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2000

  • Softcover ISBN: 978-3-540-67868-7Published: 12 December 2000

  • eBook ISBN: 978-3-540-44656-9Published: 06 May 2007

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 226

  • Topics: Condensed Matter Physics, Partial Differential Equations, Thermodynamics, Classical Mechanics, Applications of Mathematics

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