Ruoyuan Liu

activity

20192026

most citedA note on the extremal noncentral sections of the cross-polytope

1 citations · 3 across the 15 of their papers we have counts for

collaborators

Showing 2022 · math.APShow all

4 papers · 2 filters

math.AP2022

Local well-posedness of the periodic nonlinear Schrödinger equation with a quadratic nonlinearity $u^{2}$ in negative Sobolev spaces

Ruoyuan Liu

We study low regularity local well-posedness of the nonlinear Schrödinger equation (NLS) with the quadratic nonlinearity $u^{2}$ , posed on one-dimensional and two-dimensio…

math.AP2022

On the probabilistic well-posedness of the two-dimensional periodic nonlinear Schrödinger equation with the quadratic nonlinearity $∣ u ∣^{2}$

Ruoyuan Liu

We study the two-dimensional periodic nonlinear Schrödinger equation (NLS) with the quadratic nonlinearity $∣ u ∣^{2}$ . In particular, we study the quadratic NLS with random initial da…

math.AP2022

Global well-posedness of the two-dimensional stochastic viscous nonlinear wave equations

Ruoyuan Liu

We study well-posedness of viscous nonlinear wave equations (vNLW) on the two-dimensional torus with a stochastic forcing. In particular, we prove pathwise global well-posedness of…

math.AP2022

Sharp local well-posedness of the two-dimensional periodic nonlinear Schrödinger equation with a quadratic nonlinearity $∣ u ∣^{2}$

Ruoyuan Liu, Tadahiro Oh

We study the nonlinear Schrödinger equation (NLS) with the quadratic nonlinearity $∣ u ∣^{2}$ , posed on the two-dimensional torus $T^{2}$ . While the relevant $L^{3}$ -Strichartz es…

Local well-posedness of the periodic nonlinear Schrödinger equation with a quadratic nonlinearity u2 in negative Sobolev spaces

On the probabilistic well-posedness of the two-dimensional periodic nonlinear Schrödinger equation with the quadratic nonlinearity ∣u∣2

Global well-posedness of the two-dimensional stochastic viscous nonlinear wave equations

Sharp local well-posedness of the two-dimensional periodic nonlinear Schrödinger equation with a quadratic nonlinearity ∣u∣2

Local well-posedness of the periodic nonlinear Schrödinger equation with a quadratic nonlinearity $u^{2}$ in negative Sobolev spaces

On the probabilistic well-posedness of the two-dimensional periodic nonlinear Schrödinger equation with the quadratic nonlinearity $∣ u ∣^{2}$

Sharp local well-posedness of the two-dimensional periodic nonlinear Schrödinger equation with a quadratic nonlinearity $∣ u ∣^{2}$