Speaker: Niu Dongjuan, professor and doctoral supervisor, Capital Normal University

Date: December 27, 2024

Time: 10:00-11:00 am

Location: Tencent Meeting: 725840568

Sponsor: School of Mathematics, Shandong University

Abstract:

In this talk, I will discuss with the transverse spectral instability of the one-dimensional sufficiently small and periodic traveling wave solutions of the (2+1)-dimensional Euler-Korteweg system. We show that these waves are transversely unstable with respect to two-dimensional periodically mean-zero perturbations that are periodic in both directions with long wavelength in the transverse direction. We perform a detailed spectral analysis of the linearized problem associated to the above mentioned perturbations, and derive a instability criterion which depends on the wavenumber k of the longitudinal waves.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/198641.htm