The Obstacle Problem

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Obstacle Problems in Mathematical Physics

Obstacle Problems in Mathematical Physics
Author :
Publisher : Elsevier
Total Pages : 369
Release :
ISBN-10 : 9780080872452
ISBN-13 : 008087245X
Rating : 4/5 (45X Downloads)

Book Synopsis Obstacle Problems in Mathematical Physics by : J.-F. Rodrigues

Download or read book Obstacle Problems in Mathematical Physics written by J.-F. Rodrigues and published by Elsevier. This book was released on 1987-03-01 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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