3 papers
math.AP2025
Revisiting the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system
Hung Luong
In this paper, we revisit the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system. Our method is based on the dispersive estimates and the suitable Bourgain's spaces. We…
math.AP2018
On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system
Hung Luong, Norbert Mauser, Jean-Claude Saut
We address various issues concerning the Cauchy problem for the Zakharov-Rubenchik system (known as the Benney-Roskes system in water waves theory), which models the interaction of…
math.AP2016
Local well-posedness for the Zakharov system on the background of a line soliton
Hung Luong
We prove that the Cauchy problem for the two-dimensional Zakharov system is locally well-posed for initial data which are localized perturbations of a line solitary wave. Furthermo…