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140122 ||| eng |
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|a 9781461383574
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|a Friedman, Avner
|e [editor]
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| 245 |
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|a Variational and Free Boundary Problems
|h Elektronische Ressource
|c edited by Avner Friedman, Joel Spruck
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| 250 |
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|a 1st ed. 1993
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| 260 |
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|a New York, NY
|b Springer New York
|c 1993, 1993
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| 300 |
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|a XVI, 204 p
|b online resource
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|a Free boundary problems arising in industry -- Convex free boundaries and the operator method -- The space SBV(?) and free discontinuity problems -- Wiener criterion for the obstacle problem relative to square Hörmander’s operators -- Asymptotic behavior of solidification solutions of Stefan problems -- Blow-up and regularization for the Hele-Shaw problem -- A multidomain decomposition for the transport equation -- Axisymmetric MHD equilibria from Kruskal-Kulsrud to Grad -- A two-sided game for non local competitive systems with control on source terms -- The Stefan problem with surface tension -- The Rayleigh instability for a cylindrical crystal-melt interface -- Towards a unified approach for the adaptive solution of evolution phase changes -- Blowup and global existence for a non-equilibrium phase change process
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| 653 |
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|a Calculus of Variations and Optimization
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| 653 |
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|a Control theory
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| 653 |
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|a Systems Theory, Control
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| 653 |
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|a System theory
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| 653 |
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|a Mathematical optimization
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| 653 |
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|a Calculus of variations
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| 700 |
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|a Spruck, Joel
|e [editor]
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|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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|a The IMA Volumes in Mathematics and its Applications
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|a 10.1007/978-1-4613-8357-4
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| 856 |
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|u https://doi.org/10.1007/978-1-4613-8357-4?nosfx=y
|x Verlag
|3 Volltext
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|a 003
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|a 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
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