Regularity of local minimizers of the interaction energy via obstacle problems.
1 hour 3 mins,
115.64 MB,
MP3
44100 Hz,
250.61 kbits/sec
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Carrillo, J (Imperial College London)
Wednesday 04 June 2014, 14:00-15:00 |
|---|
| Created: | 2014-06-10 14:15 |
|---|---|
| Collection: | Free Boundary Problems and Related Topics |
| Publisher: | Isaac Newton Institute |
| Copyright: | Carrillo, J |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
|
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | Local minimizers of the interaction energy present a very rich structure. We show that if the repulsion at the origin is strong enough but integrable, then the local minimizers are in fact regular, at least bounded probability densities, and they satisfy an implicit obstacle problem. This is the key to establish also uniqueness of global minimizers upto translations in some particular case. This is a work in collaboration with M. Delgadino and A. Mellet. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 1.91 Mbits/sec | 904.82 MB | View | Download | |
| WebM | 640x360 | 805.64 kbits/sec | 371.74 MB | View | Download | |
| iPod Video | 480x270 | 490.48 kbits/sec | 226.32 MB | View | Download | |
| MP3 * | 44100 Hz | 250.61 kbits/sec | 115.64 MB | Listen | Download | |
| Auto | (Allows browser to choose a format it supports) | |||||