Cisco Webex, Online seminar
(線上演講 Cisco Webex)
Nonexistence of Multi-dimensional Solitary Waves in Unmagnetized Plasma
Junsik Bae (Ulsan National Institute of Science and Technology)
Abstract
We study the nonexistence of multi-dimensional solitary waves for the Euler-Poisson system governing ion dynamics. It is well-known that the one-dimensional Euler-Poisson system has solitary waves that travel faster than the ion-sound speed. In contrast, we show that the two-dimensional and three-dimensional models do not admit nontrivial irrotational spatially localized traveling waves for any traveling velocity and for general pressure laws. Our results provide theoretical evidence for the stability of line solitary waves in multi-dimensional Euler-Poisson flows. We derive some Pohozaev type identities associated with the energy and density integrals. This is a joint work with Daisuke Kawagoe (Kyoto University).
