68 citations · 69 across the 3 of their papers we have counts for
3 papers
math.AP2009
Global well-posedness and I-method for the fifth-order Korteweg-de Vries equation
Wengu Chen, Zihua Guo
We prove that the Kawahara equation is locally well-posed in by using the ideas of -type space \cite{GuoKdV}. Next we show it is globally well-posed in …
math.AP2009★ 1 cited
A Sharp Bilinear Estimate for the Bourgain-type Space with Application to the Benjamin Equation
Wengu Chen, Jie Xiao
This note shows the existence of a sharp bilinear estimate for the Bourgain-type space and gives its application to the optimal local well/ill-posedness of the Cauchy problem for t…
math.AP2007★ 68 cited
Low regularity solutions of two fifth-order KdV type equations
Wengu Chen, Junfeng Li, Changxing Miao +1
The Kawahara and modified Kawahara equations are fifth-order KdV type equations and have been derived to model many physical phenomena such as gravity-capillary waves and magneto-s…