Obstacle problems in mathematical physics
Rodrigues, Jos�e-Francisco.
Obstacle problems in mathematical physics [electronic resource] / Jos�e-Francisco Rodrigues. - Amsterdam ; New York : New York, N.Y. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., c1987. - 1 online resource (xv, 352 p.) - North-Holland mathematics Studies ; 134 Notas de matem�atica ; 114 . - North-Holland mathematics studies ; 134. Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 114. .
Includes bibliographical references (p. 329-348) and index.
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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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.
Electronic reproduction.
[S.l.] :
HathiTrust Digital Library,
2010.
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.
http://purl.oclc.org/DLF/benchrepro0212
9780444701879 0444701877 9780080872452 (electronic bk.) 008087245X (electronic bk.) 1281797995 9781281797995
127809:123078 Elsevier Science & Technology http://www.sciencedirect.com
Calculus of variations.
Variational inequalities (Mathematics)
Mathematical physics.
Calcul des variations.
In�egalit�es variationnelles.
Physique math�ematique.
SCIENCE--Physics--Mathematical & Computational.
Calculus of variations.
Mathematical physics.
Variational inequalities (Mathematics)
Physics Mathematics Vocational inequalities
Electronic books.
QA1 / .N86 no. 114eb QC20.7.C3 / R63 1987eb
510 530.1/5
Obstacle problems in mathematical physics [electronic resource] / Jos�e-Francisco Rodrigues. - Amsterdam ; New York : New York, N.Y. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., c1987. - 1 online resource (xv, 352 p.) - North-Holland mathematics Studies ; 134 Notas de matem�atica ; 114 . - North-Holland mathematics studies ; 134. Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 114. .
Includes bibliographical references (p. 329-348) and index.
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;
Use copy
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.
Electronic reproduction.
[S.l.] :
HathiTrust Digital Library,
2010.
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.
http://purl.oclc.org/DLF/benchrepro0212
9780444701879 0444701877 9780080872452 (electronic bk.) 008087245X (electronic bk.) 1281797995 9781281797995
127809:123078 Elsevier Science & Technology http://www.sciencedirect.com
Calculus of variations.
Variational inequalities (Mathematics)
Mathematical physics.
Calcul des variations.
In�egalit�es variationnelles.
Physique math�ematique.
SCIENCE--Physics--Mathematical & Computational.
Calculus of variations.
Mathematical physics.
Variational inequalities (Mathematics)
Physics Mathematics Vocational inequalities
Electronic books.
QA1 / .N86 no. 114eb QC20.7.C3 / R63 1987eb
510 530.1/5
