Steady point vortices in a field of Stuart-type vorticity
Duration: 35 mins 45 secs
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Krishnamurthy, V
Thursday 12th September 2019 - 15:00 to 15:30 |
|---|
| Created: | 2019-09-12 15:46 |
|---|---|
| Collection: | The complex analysis toolbox: new techniques and perspectives |
| Publisher: | Isaac Newton Institute |
| Copyright: | Krishnamurthy, V |
| Language: | eng (English) |
| Abstract: | A new family of exact solutions to the two-dimensional steady incompressible Euler equation is presented. The solutions comprise two point vortices of unit circulation – a point vortex pair – embedded in a smooth sea of non-zero vorticity of “Stuart-type”. The solution is one of the simplest examples of a rich and diverse array of similar global equilibria of the Euler equation identified by the authors. We also examine the point vortex limit of these new Stuart-embedded point vortex equilibria which results in a two-real-parameter family of smoothly deformable asymmetric point vortex equilibria in an otherwise irrotational flow. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 1280x720 | 2.99 Mbits/sec | 801.82 MB | View | Download | |
| MPEG-4 Video | 640x360 | 1.93 Mbits/sec | 519.42 MB | View | Download | |
| WebM | 640x360 | 437.55 kbits/sec | 114.62 MB | View | Download | |
| iPod Video | 480x270 | 522.05 kbits/sec | 136.70 MB | View | Download | |
| MP3 | 44100 Hz | 249.83 kbits/sec | 65.48 MB | Listen | Download | |
| Auto * | (Allows browser to choose a format it supports) | |||||