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Obstacle problems in mathematical physics /

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rodrigues, Jos�e-Francisco
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; New York : New York, N.Y. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., �1987.
Colección:North-Holland mathematics studies ; 134.
Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 114.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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100 1 |a Rodrigues, Jos�e-Francisco. 
245 1 0 |a Obstacle problems in mathematical physics /  |c Jos�e-Francisco Rodrigues. 
260 |a Amsterdam ;  |a New York :  |b North-Holland ;  |a New York, N.Y. :  |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,  |c �1987. 
300 |a 1 online resource (xv, 352 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a North-Holland mathematics Studies ;  |v 134 
490 1 |a Notas de matem�atica ;  |v 114 
520 |a 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. 
504 |a Includes bibliographical references (pages 329-348) and index. 
588 0 |a Print version record. 
505 0 |a Front Cover; Obstacle Problems in Mathematical Physics; Copyright Page; Preface; Acknowledgments; Contents; Notations; Chapter 1. The Obstacle Problem; Chapter 2. Some Free Boundary Problems; Chapter 3. Some Mathematical Tools; Chapter 4. Variational Inequalities in Hilbert Spaces; Chapter 5. Smoothness of the Variational Solution; Chapter 6. The Coincidence Set and the Free Boundary; Chapter 7. Unilateral Plateau Problems; Chapter 8. Applied Obstacle Problems; Chapter 9. Dam and Stefan Type Problems; Bibliography; Subject Index. 
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533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
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650 0 |a Calculus of variations. 
650 0 |a Variational inequalities (Mathematics) 
650 0 |a Mathematical physics. 
650 6 |a Calcul des variations.  |0 (CaQQLa)201-0001183 
650 6 |a In�egalit�es variationnelles.  |0 (CaQQLa)201-0245718 
650 6 |a Physique math�ematique.  |0 (CaQQLa)201-0008394 
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653 |a Physics  |a Mathematics  |a Vocational inequalities 
776 0 8 |i Print version:  |a Rodrigues, Jos�e-Francisco.  |t Obstacle problems in mathematical physics.  |d Amsterdam ; New York : North-Holland ; New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., �1987  |z 0444701877  |z 9780444701879  |w (DLC) 86032934  |w (OCoLC)15084726 
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