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Other titles in the Mathematical Modelling: Theory and Applications series:

Mathematical Modelling: Theory and Applications #21: Functional Approach to Nonlinear Models of Water Flow in Soils

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Mathematical Modelling: Theory and Applications #21: Functional Approach to Nonlinear Models of Water Flow in Soils Cover

 

Synopses & Reviews

Publisher Comments:

This book is a work of applied mathematics focusing on the functional study of the nonlinear boundary value problems relating to water flow in porous media. As far as revealed by the literature, a systematic study of these models within the above mentioned framework has not been done and the book has been written with the belief that the abstract theory may be sometimes easier and richer in consequences for applications than standard classical approaches are. The volume deals with diffusion type models and emphasizes the mathematical treatment of their nonlinear aspects. A unifying functional approach to different boundary value problems modelling the water movement in porous media is presented, and the high degree of generality and abstraction, kept however within reasonable limits, is rewarded by the richness of the results obtained in this way.

From the mathematical point of view the results obtained can be considered as general results in the theory of nonlinear parabolic equations. Although water flow in soils was the principal exemplification for the functional treatment, the techniques used within the book and the results obtained here turn out useful for studying other appropriate problems arising in general in the movement of fluids in porous media, in the heat theory, phase transitions, biology, chemistry or engineering.

Synopsis:

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.

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.

Product Details

ISBN:
9781402048791
Author:
Marinoschi, Gabriela
Publisher:
Springer
Author:
Marinoschi, G.
Subject:
Soils
Subject:
Mathematical models
Subject:
Differential Equations
Subject:
Applied
Subject:
Environmental Science
Subject:
Groundwater flow -- Mathematical models.
Subject:
Soils -- Solute movement -- Mathematical models.
Subject:
PARTIAL DIFFERENTIAL EQUATIONS
Subject:
Mathematical Modeling and Industrial Mathematics
Subject:
Fluid- and Aerodynamics
Subject:
Math. Appl. in Environmental Science
Subject:
Soil science
Subject:
Conservation
Subject:
Mathematics-Differential Equations
Subject:
Soil Science & Conservation
Copyright:
Edition Description:
Book
Series:
Mathematical Modelling: Theory and Applications
Series Volume:
21
Publication Date:
20061005
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
334
Dimensions:
240 x 160 mm 1430 gr

Related Subjects

Engineering » Environmental Engineering » Water Resource Management
History and Social Science » World History » General
Science and Mathematics » Environmental Studies » General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » General
Science and Mathematics » Physics » Fluid Mechanics

Mathematical Modelling: Theory and Applications #21: Functional Approach to Nonlinear Models of Water Flow in Soils Used Hardcover
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Product details 334 pages Springer - English 9781402048791 Reviews:
"Synopsis" by , 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.
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