1 citations · 1 across the 5 of their papers we have counts for
5 papers
Regularization for the Schrödinger equation with rough potential: high-dimensional case
Ruobing Bai, Yajie Lian, Yifei Wu
In this work, we investigate the regularization mechanisms of the Schrödinger equation with a spatial potential where denotes a given spatial pote…
Regularization for the Schrödinger equation with rough potential: one-dimensional case
Ruobing Bai, Yajie Lian, Yifei Wu
In this work, we investigate the following Schrödinger equation with a spatial potential \begin{align*} i\partial_t u+\partial_x^2 u+ηu=0, \end{align*} where is a given spatial…
Wave operator for the generalized derivative nonlinear Schrödinger equation
Ruobing Bai, Jia Shen
In this work, we prove the existence of wave operator for the following generalized derivative nonlinear Schrödinger equation \begin{align*} i\partial_t u+\partial_x^2 u +i |u|^{2σ…
Non-radial Blow-up for a mass-critical fourth-order inhomogeneous nonlinear Schrödinger equation
Ruobing Bai, Mohamed Majdoub, Tarek Saanouni
We investigate the blow-up for a fourth-order Schrödinger equation with a mas-critical focusing inhomogeneous nonlinearity. We prove the finite/infinite-time blow-up of non-radial…
Remarks on the almost sure well-posedness for incompressible Navier-Stokes equations with arbitrary regularity
Ruobing Bai, Jia Shen
In this note, we study the random data problem for incompressible Navier-Stokes equations in Euclidean space with arbitrary regularity, using the randomization introduced in \cite{…