Obstacle problems in mathematical physics [electronic resource] / José-Francisco Rodrigues.
The aim of this research monograph is to present a general account of the applicability of elliptic variational inequalities to the important class of free boundary problems of obstacle type from a unifying point of view of classical Mathematical Physics. The first part of the volume introduces some...
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| Online Access: |
Full Text (via ScienceDirect) |
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| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam ; New York : New York, N.Y. :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
©1987.
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| Series: | North-Holland mathematics studies ;
134. Notas de matemática (Rio de Janeiro, Brazil) ; no. 114. |
| Subjects: |
| Summary: | The aim of this research monograph is to present a general account of the applicability of elliptic variational inequalities to the important class of free boundary problems of obstacle type from a unifying point of view of classical Mathematical Physics. The first part of the volume introduces some obstacle type problems which can be reduced to variational inequalities. Part II presents some of the main aspects of the theory of elliptic variational inequalities, from the abstract hilbertian framework to the smoothness of the variational solution, discussing in general the properties of the free boundary and including some results on the obstacle Plateau problem. The last part examines the application to free boundary problems, namely the lubrication-cavitation problem, the elastoplastic problem, the Signorini (or the boundary obstacle) problem, the dam problem, the continuous casting problem, the electrochemical machining problem and the problem of the flow with wake in a channel past a profile. |
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| Physical Description: | 1 online resource (xv, 352 pages) |
| Bibliography: | Includes bibliographical references (pages 329-348) and index. |
| ISBN: | 9780444701879 0444701877 9780080872452 008087245X 1281797995 9781281797995 |
| Source of Description, Etc. Note: | Source of description: Print version record. |