The Proximity of Free Boundary to Wedges and Planes

31 mins 44 secs,  455.54 MB,  MPEG-4 Video  640x360,  29.97 fps,  44100 Hz,  1.91 Mbits/sec
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Description: Karakhanyan, A (University of Edinburgh)
Wednesday 25 June 2014, 16:30-17:00
 
Created: 2014-07-11 12:54
Collection: Free Boundary Problems and Related Topics
Publisher: Isaac Newton Institute
Copyright: Karakhanyan, A
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: The talk is about the geometry of free boundary striking the centre of the half ball B_1^+ where a wedge like boundary data is prescribed near the origin. It will be seen that the effect of the wedge-like data dooms the asymptotic shape of the free boundary and the homogeneous global solutions turn out to have wedge-like free boundary too. A delicate analysis involving monotonicity formula techniques is employed to furnish the main results, which are from a joint paper with H. Shahgholian (to appear in the Transactions of the AMS).
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