| Variational and Free Boundary Problems Softcover Repri Edition Contributor(s): Friedman, Avner (Editor), Spruck, Joel (Editor) |
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ISBN: 1461383595 ISBN-13: 9781461383598 Publisher: Springer OUR PRICE: $132.99 Product Type: Paperback - Other Formats Published: December 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Linear & Nonlinear Programming - Mathematics | Applied - Mathematics | Calculus |
| Dewey: 515.353 |
| Series: IMA Volumes in Mathematics and Its Applications |
| Physical Information: 0.47" H x 6.14" W x 9.21" (0.70 lbs) 204 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |