Variational and Free Boundary Problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1993
|
| Schriftenreihe: | The IMA Volumes in Mathematics and its Applications
53 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XVI, 204p. 17 illus) |
| ISBN: | 9781461383574 9781461383598 |
| ISSN: | 0940-6573 |
| DOI: | 10.1007/978-1-4613-8357-4 |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Friedman, Avner |
| author_facet | Friedman, Avner |
| author_role | aut |
| author_sort | Friedman, Avner |
| author_variant | a f af |
| building | Verbundindex |
| bvnumber | BV042420698 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863789654 (DE-599)BVBBV042420698 |
| dewey-full | 519 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519 |
| dewey-search | 519 |
| dewey-sort | 3519 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-8357-4 |
| format | Electronic eBook |
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| id | DE-604.BV042420698 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:07Z |
| institution | BVB |
| isbn | 9781461383574 9781461383598 |
| issn | 0940-6573 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856115 |
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| series2 | The IMA Volumes in Mathematics and its Applications |
| spelling | Friedman, Avner Verfasser aut Variational and Free Boundary Problems edited by Avner Friedman, Joel Spruck New York, NY Springer New York 1993 1 Online-Ressource (XVI, 204p. 17 illus) txt rdacontent c rdamedia cr rdacarrier The IMA Volumes in Mathematics and its Applications 53 0940-6573 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 Mathematics Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Randwertproblem (DE-588)4048395-2 gnd rswk-swf Variationsproblem (DE-588)4187419-5 gnd rswk-swf Freies Randwertproblem (DE-588)4155303-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content 2\p (DE-588)1071861417 Konferenzschrift gnd-content Partielle Differentialgleichung (DE-588)4044779-0 s Freies Randwertproblem (DE-588)4155303-2 s Variationsproblem (DE-588)4187419-5 s 3\p DE-604 Randwertproblem (DE-588)4048395-2 s 4\p DE-604 Spruck, Joel Sonstige oth https://doi.org/10.1007/978-1-4613-8357-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Friedman, Avner Variational and Free Boundary Problems Mathematics Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Randwertproblem (DE-588)4048395-2 gnd Variationsproblem (DE-588)4187419-5 gnd Freies Randwertproblem (DE-588)4155303-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4187419-5 (DE-588)4155303-2 (DE-588)4044779-0 (DE-588)4143413-4 (DE-588)1071861417 |
| title | Variational and Free Boundary Problems |
| title_auth | Variational and Free Boundary Problems |
| title_exact_search | Variational and Free Boundary Problems |
| title_full | Variational and Free Boundary Problems edited by Avner Friedman, Joel Spruck |
| title_fullStr | Variational and Free Boundary Problems edited by Avner Friedman, Joel Spruck |
| title_full_unstemmed | Variational and Free Boundary Problems edited by Avner Friedman, Joel Spruck |
| title_short | Variational and Free Boundary Problems |
| title_sort | variational and free boundary problems |
| topic | Mathematics Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Randwertproblem (DE-588)4048395-2 gnd Variationsproblem (DE-588)4187419-5 gnd Freies Randwertproblem (DE-588)4155303-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Randwertproblem Variationsproblem Freies Randwertproblem Partielle Differentialgleichung Aufsatzsammlung Konferenzschrift |
| url | https://doi.org/10.1007/978-1-4613-8357-4 |
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