Luo Yongming

collaborators

3 papers

math.AP2023

Almost sure scattering for the defocusing cubic nonlinear Schrödinger equation on $R^{3} \times T$

Yongming Luo

We consider the Cauchy problem for the defocusing cubic nonlinear Schrödinger equation (NLS) on the waveguide manifold $R^{3} \times T$ and establish almost sure scat…

math.AP2023

On well-posedness results for the cubic-quintic NLS on $T^{3}$

Yongming Luo, Xueying Yu, Haitian Yue +1

We consider the periodic cubic-quintic nonlinear Schrödinger equation \begin{align}\label{cqnls_abstract} (i\partial_t +Δ)u=μ_1 |u|^2 u+μ_2 |u|^4 u\tag{CQNLS} \end{align} on the th…

math.AP2022

On long time behavior of the focusing energy-critical NLS on $R^{d} \times T$ via semivirial-vanishing geometry

Yongming Luo

We study the focusing energy-critical NLS \begin{align}\label{nls_abstract} i\partial_t u+Δ_{x,y} u=-|u|^{\frac{4}{d-1}} u\tag{NLS} \end{align} on the waveguide manifold $\mathbb{R…

Almost sure scattering for the defocusing cubic nonlinear Schrödinger equation on R3×T

On well-posedness results for the cubic-quintic NLS on T3

On long time behavior of the focusing energy-critical NLS on Rd×T via semivirial-vanishing geometry

Almost sure scattering for the defocusing cubic nonlinear Schrödinger equation on $R^{3} \times T$

On well-posedness results for the cubic-quintic NLS on $T^{3}$

On long time behavior of the focusing energy-critical NLS on $R^{d} \times T$ via semivirial-vanishing geometry