Stability and Wave Motion in Porous Media / Edition 1

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This book describes several tractable theories for fluid flow in porous media while the important mathematical questions about structural stability and spatial decay are addressed. Thermal convection and stability of other flows in porous media are covered and a chapter is devoted to the problem of stability of flow in a fluid overlying a porous layer.

Nonlinear wave motion in porous media is analysed, and waves in an elastic body with voids are investigated. Acoustic waves in porous media are also analysed in some detail.

A chapter is included on efficient numerical methods for solving eigenvalue problems which occur in stability problems for flows in porous media.

About the Author:
Brian Straughan is a professor at the Department of Mathematical Sciences at Durham University, United Kingdom

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Editorial Reviews

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"It offers an original approach to this multifaceted subject, not only because of the emphasis it puts on the stability issue, but also because of the exceptional variety of the problems addressed. … this is a highly recommendable book. People having already some knowledge of flows in porous media will be delighted to read it, and beginners will find a valuable guide to understanding many challenging problems, treated with mathematical rigour, but never forgetting the physics." (Antonio Fasano, Mathematical Reviews, Issue 2009 e)

“It could be used in a seminar where graduate students are asked to research and present detailed arguments for select problems which are only formulated by Straughan or maybe only briefly outlined. As a research text, it surveys a great many interesting problems and applications … with proper acknowledgment of and direction to the appropriate sources of the models and analysis. Thus, this text should be a valuable resource for anybody working on problems in the porous media field.” (Philip W. Schaefer, SIAM Review, Vol. 54 (2), 2012)

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Product Details

  • ISBN-13: 9780387765419
  • Publisher: Springer New York
  • Publication date: 8/12/2008
  • Series: Applied Mathematical Sciences Series, #165
  • Edition description: 2008
  • Edition number: 1
  • Pages: 439
  • Product dimensions: 6.20 (w) x 9.30 (h) x 1.00 (d)

Table of Contents

1 Introduction 1

2 Structural Stability 27

3 Spatial Decay 95

4 Convection in Porous Media 147

5 Stability of Other Porous Flows 193

6 Fluid - Porous Interface Problems 239

7 Elastic Materials with Voids 297

8 Poroacoustic Waves 337

9 Numerical Solution of Eigenvalue Problems 375

References 399

Index 433

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