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Title: VARIATIONAL AND FREE BOUNDARY PROBLE
WORKSHOP ENTITLED " FREE BOUNDARY AND VARIATIONAL PROBLEMS" : REVISED PAPERS
By: Avner Friedman (Editor), Joel Spruck (Editor)
Format: Hardback

List price: £72.00


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ISBN 10: 0387941118
ISBN 13: 9780387941110
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 22 October, 1993
Edition: 1993 ed.
Series: The IMA Volumes in Mathematics and its Applications 53
Pages: 220
Synopsis: 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. " 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.
Illustrations: biography
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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