Asymptotic stability of a Korteweg-de Vries equation with a two-dimensional center manifold

Shuxia Tang, Jixun Chu, Peipei Shang +1

Local asymptotic stability analysis is conducted for an initial-boundary-value problem of a Korteweg-de Vries equation posed on a finite interval $\left[0,2\pi \sqrt{7/3}\right]$. Th…