Dynamics of the Korteweg-de Vries equation on a balanced metric graph
Dynamics of the Korteweg-de Vries equation on a balanced metric graph
In this work, we establish local well-posedness for the Korteweg-de Vries model on a balanced star graph with a structure represented by semi-infinite edges, by considering a boundary condition of $\delta$-type at the {unique} graph-vertex. Also, we extend the linear instability result of Angulo and Cavalcante (2021) to one of …