A back door to blow-up: Inviscid regularization for the 3D Euler and Navier-Stokes equations
Duration: 1 hour 7 mins
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Adam Larios
22 February 2022 – 16:00 to 17:00 |
|---|
| Created: | 2022-02-24 13:35 |
|---|---|
| Collection: | Mathematical aspects of turbulence: where do we stand? |
| Publisher: | Isaac Newton Institute |
| Copyright: | Adam Larios |
| Language: | eng (English) |
| Abstract: | The 3D Euler-Voigt equations can be thought of as a regularization of the 3D Euler equations in the sense that they are globally well-posed, and the solutions approximate the solutions to the 3D Euler equations. We describe a blow-up criterion for the 3D incompressible Euler equations based on inviscid Voigt regularization. Therefore, the blow-up criterion allows one to gain information about possible singularity formation in the 3D Euler equations indirectly; namely, by simulating the "better-behaved" 3D Euler-Voigt equations. Analytical and computational results will be discussed. We will also discuss a applications to Navier-Stokes and a recent Voigt-type regularization and blow-up criterion based on the Velocity-Vorticity formulation of the 3D Navier-Stokes equations. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 1280x720 | 2.58 Mbits/sec | 1.27 GB | View | Download | |
| MPEG-4 Video | 640x360 | 1.02 Mbits/sec | 517.28 MB | View | Download | |
| WebM | 1280x720 | 1.8 Mbits/sec | 904.72 MB | View | Download | |
| WebM | 640x360 | 489.1 kbits/sec | 240.01 MB | View | Download | |
| iPod Video | 480x270 | 493.04 kbits/sec | 241.95 MB | View | Download | |
| MP3 | 44100 Hz | 252.56 kbits/sec | 123.94 MB | Listen | Download | |
| Auto * | (Allows browser to choose a format it supports) | |||||