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: 9048172160

ISBN-13: 9789048172160

Pub. Date: 05/26/2011

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:
9789048172160
Publisher:
Springer Netherlands
Publication date:
05/26/2011
Series:
Mathematical Modelling: Theory and Applications Series, #21
Edition description:
Softcover reprint of hardcover 1st ed. 2006
Pages:
313
Product dimensions:
6.30(w) x 9.45(h) x 0.36(d)

Table of Contents

Modelling water infiltration in soils.- Brief overview of unsaturated flow concepts.- Settlement of the mathematical models of nonhysteretic infiltration.- Analysis of infiltration models.- Basic existence theorems for evolution equations with monotone operators in Hilbert spaces.- Functional approach to the quasi-unsaturated infiltration model.- Functional approach to the saturated-unsaturated infiltration model.- Specific problems in infiltration.- Inverse problems in infiltration.- Identification of the boundary conditions from recorded observations.- Background tools.

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