Variational and Free Boundary Problems by Avner Friedman

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Summary

This IMA Volume in Mathematics and its Applications VARIATIONAL AND FREE BOUNDARY PROBLEMS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries.

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Variational and Free Boundary Problems by Avner Friedman

This IMA Volume in Mathematics and its Applications VARIATIONAL AND FRE BOUNDARY PROBLEMS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on Phase Transitions and Free Boundaries. The aim of the workshop was to highlight new methods, directions and problems in variational and free boundary theory, with a concentration on novel applications of variational methods to applied problems. We thank R. Fosdick, M. E. Gurtin, W. -M. Ni and L. A. Peletier for organizing the year-long program and, especially, J. Sprock for co-organizing the meeting and co-editing these proceedings. We also take this opportunity to thank the National Science Foundation whose financial support made the workshop possible. Avner Friedman Willard Miller, Jr. PREFACE In a free boundary one seeks to find a solution u to a partial differential equation in a domain, a part r of its boundary of which is unknown. Thus both u and r must be determined. In addition to the standard boundary conditions on the un- known domain, an additional condition must be prescribed on the free boundary. A classical example is the Stefan problem of melting of ice; here the temperature sat- isfies the heat equation in the water region, and yet this region itself (or rather the ice-water interface) is unknown and must be determined together with the tempera- ture within the water. Some free boundary problems lend themselves to variational formulation.
SKU Unavailable
ISBN 13 9781461383598
ISBN 10 1461383595
Title Variational and Free Boundary Problems
Author Avner Friedman
Series The Ima Volumes In Mathematics And Its Applications
Condition Unavailable
Binding Type Paperback
Publisher Springer-Verlag New York Inc.
Year published 2011-12-21
Number of pages 204
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.