7 citations · 29 across the 22 of their papers we have counts for
23 papers
Higher order KdV-type equations with Robin boundary conditions on
Fernando. A. Gallego, Chulkwang. Kwak
We study the initial boundary value problem (IBVP) for the higher order Korteweg--de Vries type equation \[\partial_tu+(-1)^{j+1}\partial_x^{2j+1}u+\frac12\partial_x(u^2)=0,\qquad…
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…
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…
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…
Energy solutions for the fifth-order modified Korteweg de-Vries equations
Chulkwang Kwak, Kiyeon Lee
We consider the Cauchy problem for the fifth-order modified Korteweg-de Vries equation (mKdV) under the periodic boundary condition. The fifth-order mKdV is an asymptotic model for…
On the control issues for higher-order nonlinear dispersive equations on the circle
Roberto de A. Capistrano-Filho, Chulkwang Kwak, Francisco J. Vielma Leal
The local and global control results for a general higher-order KdV-type operator posed on the unit circle are presented. Using spectral analysis, we are able to prove local result…