2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.AP2019★ 1 cited
Asymptotic dynamics for the small data weakly dispersive one-dimensional Hamiltonian ABCD system
Chulkwang Kwak, Claudio Muñoz
Consider the Hamiltonian system in one dimension, with data posed in the energy space . This model, introduced by Bona, Chen and Saut, is a well-known physica…
math.AP2019★ 2 cited
Global solutions and stability properties of the 5th order Gardner equation
Miguel A. Alejo, Chulkwang Kwak
In this work, we deal with the initial value problem of the 5th-order Gardner equation in , presenting the local well-posedness result in . As a conseq…
math.AP2012★ 1 cited
Rough solutions of the fifth-order KdV equations
Zihua Guo, Chulkwang Kwak, Soonsik Kwon
We consider the Cauchy problem of the fifth-order equation arising from the Korteweg-de Vries (KdV) hierarchy u_t + u_{xxxxx} + c_1u_{x} u_{xx} + c_2u u_{x} = 0 x,t \in \R We prove…