Showing math.APShow all
3 papers · 1 filter
math.AP2026
Well-posedness issues for the generalized Benjamin--Bona--Mahony equation
Seunghyun Kim, Chulkwang Kwak
In this paper, we consider the one-dimensional generalized Benjamin--Bona--Mahony (gBBM) equation \[(1-\partial_x^2)u_t+(u+u^p)_x=0,\qquad p=2,3,4,\dots,\] posed either on the real…
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…