Coefficient Inverse Problems for Parabolic Type Equations and Their Application (Inverse and Ill-Posed Problems Series, 25, Band 25) - Hardcover

Danilaev, P. G.

 
9783110364019: Coefficient Inverse Problems for Parabolic Type Equations and Their Application (Inverse and Ill-Posed Problems Series, 25, Band 25)
Hardcover
ISBN 10: 3110364018 ISBN 13: 9783110364019
Verlag: De Gruyter, 2001

Inhaltsangabe

As a rule, many practical problems are studied in a situation when the input data are incomplete. For example, this is the case for a parabolic partial differential equation describing the non-stationary physical process of heat and mass transfer if it contains the unknown thermal conductivity coefficient. Such situations arising in physical problems motivated the appearance of the present work.

In this monographthe author considers numerical solutions of the quasi-inversion problems, to which the solution of the original coefficient inverse problems are reduced.

Underground fluid dynamics is taken as a field of practical use of coefficient inverse problems. The significance of these problems for this application domain consists in the possibility to determine the physical fields of parameters that characterize the filtration properties of porous media (oil strata). This provides the possibility of predicting the conditions of oil-field development and the effects of the exploitation.

The research carried out by the author showed that the quasi-inversion method can be applied also for solution of "interior coefficient inverse problems" by reducing them to the problem of continuation of a solution to a parabolic equation. This reduction is based on the results of the proofs of the uniqueness theorems for solutions of the corresponding coefficient inverse problems.

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Über die Autorin bzw. den Autor

Peter G. Danilaev, KazanState TechnicalUniversity, Russia.

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Verlag
De Gruyter
Erscheinungsdatum
2001
Sprache
Englisch
ISBN 10 
3110364018
ISBN 13 
9783110364019
Einband
Gebundene Ausgabe
Anzahl der Seiten
118
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Weitere beliebte Ausgaben desselben Titels

9789067643481: Coefficient Inverse Problems for Parabolic Type Equations and Their Application (Inverse and Ill-Posed Problems Series, 25, Band 25)

Vorgestellte Ausgabe

ISBN 10:  9067643483 ISBN 13:  9789067643481
Verlag: De Gruyter, 2001
Hardcover