2 papers
math.AP2025
A Nonhomogeneous Boundary-Value Problem For The Nonlinear KdV Equation on Star Graphs
Roberto de A. Capistrano Filho, Hugo Parada, Jandeilson Santos da Silva
This paper investigates a boundary-value problem for the Korteweg-de Vries (KdV) equation on a star-graph structure. We develop a unified framework introducing the notion of -co…
math.AP2025
Long-Time Dynamics of the Zakharov-Kuznetsov Equation
Roberto de A. Capistrano Filho, Ailton Nascimento
This manuscript presents the results of stabilization for the Zakharov--Kuznetsov equation, a two-dimensional Korteweg--de Vries-type equation. We provide rigorous proofs using two…