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Field name	Details
Dewey Class	519
Title	Variational and Free Boundary Problems ([EBook] /) / edited by Avner Friedman, Joel Spruck.
Added Personal Name	Friedman, Avner editor.
Added Personal Name	Spruck, Joel editor.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York, , 1993.
Physical Details	XVI, 204 p. : online resource.
Series	The IMA volumes in mathematics and its applications 0940-6573 ; ; 53
ISBN	9781461383574
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4613-8357-4
Links to Related Works	Subject References: Calculus of variations . Calculus of variations and optimal control; optimization . Mathematics . System theory . Systems Theory, Control . Authors: Friedman, Avner . Spruck, Joel . Corporate Authors: SpringerLink (Online service) . Series: The IMA volumes in mathematics and its applications . Classification: 519 .

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Variational and Free Boundary Problems

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