Skip to main content
SpringerLink
Log in
Book cover

Functional Approach to Nonlinear Models of Water Flow in Soils

  • Book
  • © 2006

Overview

Authors:
  1. Gabriela Marinoschi

    1. Institute of Mathematical Statistics and Applied Mathematics, Romanian Academy, Romania

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Unifying approach to different boundary value problems related to diffusion in porous media, in particular to water infiltration in soils
  • Systematic and rigorous study of diffusion models in porous media within the functional approach
  • Opens new prospects related to the utility of the modern mathematical methods in approaching applied problems
  • Provides new theoretical results useful in the analysis of the real-time physical processes of water infiltration in soils

Part of the book series: Mathematical Modelling: Theory and Applications (MMTA, volume 21)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  4. Inverse problems in infiltration

    1. Front Matter

      Pages 241-241
      Download chapter PDF

    2. Identification of the boundary conditions from recorded observations

      Pages 243-277

  5. Appendix

    1. Front Matter

      Pages 279-279
      Download chapter PDF

    2. Background tools

      Pages 281-304

  6. Back Matter

    Pages 305-317
    Download chapter PDF
Back to top

Keywords

About this book

... a pure mathematician does what he can do as well as he should, whilst an applied mathematician does what he should do as well as he can... (Gr. C. Moisil Romanian mathematician, 1906-1973) Flows in porous media were initially the starting point for the study which has evolved into this book, because the acquirement and improving of kn- ledge about the analysis and control of water in?ltration and solute spreading arechallenginganddemandingpresentissuesinmanydomains,likesoilsci- ces, hydrology, water management, water quality management, ecology. The mathematical modelling required by these processes revealed from the beg- ning interesting and di?cult mathematical problems, so that the attention was redirected to the theoretical mathematical aspects involved. Then, the qualitative results found were used for the explanation of certain behaviours of the physical processes which had made the object of the initial study and for giving answers to the real problems that arise in the soil science practice. In this way the work evidences a perfect topic for an applied mathematical research. This book was written in the framework of my research activity within the Institute of Mathematical Statistics and Applied Mathematics of the Ro- nianAcademy.SomeresultswereobtainedwithintheprojectCNCSIS33045/ 2004-2006, ?nanced by the Romanian Ministry of Research and Education. In a preliminary form, part of the results included here were lecture notes for master and Ph.D. students during the scienti?c stages (November- December 2003 and May-June 2004) of the author at the Center for Optimal Control and Discrete Mathematics belonging to the Central China Normal University in Wuhan.

Reviews

From the reviews:

"This book contains a study of water infiltration and transport-diffusion of solutes in porous media. … The book is useful for graduate and master-classes students, mathematicians and applied mathematicians." (Gelu Pasa, Zentralblatt MATH, Vol. 1102 (4), 2007)

“The title of this book is intended to convey that it is devoted to illustrating the application of abstract methods from functional analysis to problems arising in the modeling of water flow in soils. … I would say that this book could serve as a text for a graduate seminar attended by students who have had a thorough introduction to modern methods in partial differential equations, or it could be a useful reference for a serious mathematician interested in modeling flow of moisture in soils.” (Paul DuChateau, Vadose Zone Journal, Vol. 9, 2010)

Authors and Affiliations

  • Institute of Mathematical Statistics and Applied Mathematics, Romanian Academy, Romania

    Gabriela Marinoschi

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation