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Variational and Free Boundary Problems: 53 (The IMA Volumes in Mathematics and its Applications) - Softcover
Inhaltsangabe
This book presents recent research in free boundary problems. The articles are based on a variety of models and present mathematical methods which are meant to be further applied and developed for other models. This book will be useful to both mathematicians and engineers working with mathematical models.
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Reseña del editor
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.
Reseña del editor
This volume contains articles based on recent research in Variational and Free Boundary Problems collected by the Institute for Mathematics and its Applications. The collection as a whole concentrates on novel applications of variational methods to applied problems. The book provides a wide cross section of current research in far growing areas. The articles are based on models which arise in phase transitions, in elastic/ plastic contact problems, Hele-Shaw cells, crystal growth, variational formulation of computer vision models, magneto-hydrodynamics, bubble growth, hydrodynamics (jets and cavities), and in stochastic control and economics. They present mathematical methods which can be further extended and developed for other models. The book should be of interest both to mathematicians and to engineers who are working with mathematical models.
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Variational and Free Boundary Problems (The IMA Volumes in Mathematics and its Applications)
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Variational and Free Boundary Problems
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Springer New York, Springer US, 2011
ISBN 10: 1461383595
ISBN 13: 9781461383598
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9781461383598
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Variational and Free Boundary Problems (The Ima Volumes in Mathematics and Its Applications)
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Paperback. Zustand: Brand New. reprint edition. 220 pages. 9.25x6.10x0.50 inches. In Stock. Artikel-Nr. x-1461383595
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