2 papers
math.AP2017
On the stability of the solitary waves to the rotation Benjamin-Ono equation
Mohamad Darwich
In this paper, we study several aspects of solitary wave solutions of the rotation Benjamin-Ono equation. By solving a minimization problem on the line, we construct a family of ev…
math.AP2017
On the -critical nonlinear Schrodinger equation with an inhomogeneous damping term
Mohamad Darwich
We consider the -critical nonlinear Schrodinger equation with an inhomogeneous damping term. We prove that there exists an initial data such that the corresponding solution is…