The Toda Shock And Rarefaction Problems
Duration: 30 mins 42 secs
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Iryna Egorova B. Verkin Institute for Low Temperature Physics and Engineering
1 July 2021 – 13:00 to 13:30 |
|---|
| Created: | 2021-07-02 10:17 |
|---|---|
| Collection: | New horizons in dispersive hydrodynamics |
| Publisher: | Isaac Newton Institute for Mathematical Sciences |
| Copyright: | Egorova, I |
| Language: | eng (English) |
| Abstract: | We present the long-time asymptotics for the steplike solutions to the Toda lattice which are asymptotically close to different constant backgrounds on the half-axis. By use of the Nonlinear Steepest Descent approach for the vector Riemann-Hilbert problems we derive and rigorously justify asymptotics in all principal regions of the space-time half plane. In particular, we show that the Toda shock wave is asymptotically close to a modulated finite-gap solution in the region separating the soliton and the elliptic wave regions, and discuss in details the influence of the discrete spectrum and resonances on the phase of this solution. This is work in collaboration with J. Michor and G. Teschl. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 488.77 kbits/sec | 109.90 MB | View | Download | |
| WebM | 640x360 | 256.69 kbits/sec | 57.75 MB | View | Download | |
| iPod Video | 480x270 | 480.48 kbits/sec | 108.04 MB | View | Download | |
| MP3 | 44100 Hz | 249.83 kbits/sec | 56.24 MB | Listen | Download | |
| Auto * | (Allows browser to choose a format it supports) | |||||