Functional Approach to Nonlinear Models of Water Flow in Soils / Edition 1

Functional Approach to Nonlinear Models of Water Flow in Soils / Edition 1

by G. Marinoschi
     
 

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ISBN-10: 1402048793

ISBN-13: 9781402048791

Pub. Date: 10/05/2006

Publisher: Springer Netherlands

This work of applied mathematics focuses on the functional study of the nonlinear boundary value problems relating to water flow in porous media, a topic which has not up to now been explored in book form. The author shows that abstract theory may be sometimes easier and richer in consequences for applications than standard classical approaches are. The volume

Overview

This work of applied mathematics focuses on the functional study of the nonlinear boundary value problems relating to water flow in porous media, a topic which has not up to now been explored in book form. The author shows that abstract theory may be sometimes easier and richer in consequences for applications than standard classical approaches are. The volume deals with diffusion type models, emphasizing the mathematical treatment of their nonlinear aspects.

Product Details

ISBN-13:
9781402048791
Publisher:
Springer Netherlands
Publication date:
10/05/2006
Series:
Mathematical Modelling: Theory and Applications Series, #21
Edition description:
2006
Pages:
313
Product dimensions:
8.27(w) x 11.69(h) x 0.03(d)

Table of Contents

Foreword. Introduction.- Part I Modelling water infiltration in soils. 1 Brief overview of unsaturated flow concepts. 2 Settlement of the mathematical models of nonhysteric infiltration.- Part II Analysis of infiltration models. 3 Basic existence theorems for evolution equations. 4 Functional approach to the quasi-unsaturated infiltration. 5 Functional approach to the saturated-unsaturated infiltration model.- Part III Inverse problems in infiltration. 7 Identification of the boundary conditions from recorded observations.- Part IV Appendix.

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