1 citations · 2 across the 4 of their papers we have counts for
9 papers
Global Behavior of Small Data Solutions for The 2D Dirac-Klein-Gordon Equations
Shijie Dong, Kuijie Li, Yue Ma +1
In this paper, we are interested in the two-dimensional Dirac-Klein-Gordon system, which is a basic model in particle physics. We investigate the global behaviors of small data sol…
Asymptotic behavior of 2D Wave-Klein-Gordon coupled system under null condition
Shijie Dong, Yue Ma, Xu Yuan
We study the 2D coupled wave-Klein-Gordon systems with semi-linear null nonlinearities and . The main result states that the solution to the 2D coupled systems exists…
Construction of excited multi-solitons for the focusing 4D cubic wave equation
Xu Yuan
Consider the focusing 4D cubic wave equation \[ \partial_{tt}u-Δu-u^{3}=0,\quad \mbox{on}\ (t,x)\in [0,\infty)\times \mathbb{R}^{4}.\] The main result states the existence in energ…
Asymptotics of solutions with a compactness property for the nonlinear damped Klein-Gordon equation
Raphaël Côte, Xu Yuan
We consider the nonlinear damped Klein-Gordon equation \[ \partial_{tt}u+2α\partial_{t}u-Δu+u-|u|^{p-1}u=0 \quad \text{on} \ \ [0,\infty)\times \mathbb{R}^N \] with , $2 \le N…
Construction of excited multi-solitons for the 5D energy-critical wave equation
Xu Yuan
For the 5D energy-critical wave equation, we construct excited -solitons with collinear speeds, i.e. solutions of the equation such that \begin{equation*} \lim_{t\to+\infty}…
Conditional stability of multi-solitons for the 1D NLKG equation with double power nonlinearity
Xu Yuan
We consider the one-dimensional nonlinear Klein-Gordon equation with a double power focusing-defocusing nonlinearity \begin{equation*} \partial_{t}^{2}u-\partial_{x}^{2}u+u-|u|^{p-…