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math.AP2025
The Kawahara equation on star graphs
Márcio Cavalcante, Chulkwang Kwak, José Marques
In this paper, we establish local well-posedness for the Cauchy problem associated with the Kawahara equation on a general metric star graph. Initially, we identify suitable bounda…
math.AP2025
Periodic FPU system: Continuum limit to KdV via regularization and Fourier analysis
Chulkwang Kwak, Changhun Yang
The Fermi-Pasta-Ulam (FPU) system, initially introduced by Fermi for numerical simulations, models vibrating chains with fixed endpoints, where particles interact weakly, nonlinear…