1 citations · 3 across the 15 of their papers we have counts for
17 papers
Observation of quadrature-dependent unidirectional flow of light
Jamison Sloan, Eran Lustig, Louise Schul +5
Unidirectional transport of light is a central capability in photonics, enabling critical functionalities such as isolation and routing. Ordinarily, this directionality depends on…
On the Smoluchowski-Kramers approximation for the hyperbolic linear sigma model and its mean-field limit
Alexander Czernik, Ruoyuan Liu, Shao Liu
We study the hyperbolic linear sigma model, i.e. a system of interacting stochastic damped nonlinear wave equations (SdNLW) with coupled cubic nonlinearities, posed on t…
The Korteweg-de Vries limit for the global dynamics of the Toda lattice
Ruoyuan Liu, Herbert Koch
It has been observed that the dynamics of the Toda lattice can be well described by solutions of the Korteweg-de Vries (KdV) equation in the continuum limit. We show that, under th…
Hyperbolic linear sigma model and its mean-field limit
Ruoyuan Liu, Shao Liu, Tadahiro Oh
We study large limits of the hyperbolic linear sigma model () on the two-dimensional torus , namely, a system of interacting stochastic d…
Large torus limit of global dynamics of the two-dimensional dispersive Anderson model
Ruoyuan Liu, Nikolay Tzvetkov
We continue the study of the two-dimensional dispersive Anderson model (DAM), i.e. the nonlinear Schrödinger equation with multiplicative spatial white noise. For this model, globa…
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus
Andreia Chapouto, Guopeng Li, Ruoyuan Liu
We study global-in-time dynamics of the stochastic nonlinear beam equations (SNLB) with an additive space-time white noise, posed on the four-dimensional torus. The roughness of th…
Global well-posedness of one-dimensional cubic fractional nonlinear Schrödinger equations in negative Sobolev spaces
Enguerrand Brun, Guopeng Li, Ruoyuan Liu +1
We study the Cauchy problem for the cubic fractional nonlinear Schrödinger equation (fNLS) on the real line and on the circle. In particular, we prove global well-posedness of the…
Existence, uniqueness, and universality of global dynamics for the fractional hyperbolic -model
Ruoyuan Liu, Nikolay Tzvetkov, Yuzhao Wang
We study the fractional -measure (with order ) and the dynamical problem of its canonical stochastic quantization: the three-dimensional stochastic damped fractional n…
Global well-posedness of the energy-critical stochastic nonlinear wave equations
Enguerrand Brun, Guopeng Li, Ruoyuan Liu
We consider the Cauchy problem for the defocusing energy-critical stochastic nonlinear wave equations (SNLW) with an additive stochastic forcing on and $\mathbb{T}…
Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space
Arnaud Debussche, Ruoyuan Liu, Nikolay Tzvetkov +1
We consider the nonlinear Schrödinger equation with multiplicative spatial white noise and an arbitrary polynomial nonlinearity on the two-dimensional full space domain. We prove g…
Local well-posedness of the periodic nonlinear Schrödinger equation with a quadratic nonlinearity in negative Sobolev spaces
Ruoyuan Liu
We study low regularity local well-posedness of the nonlinear Schrödinger equation (NLS) with the quadratic nonlinearity , posed on one-dimensional and two-dimensio…
On the probabilistic well-posedness of the two-dimensional periodic nonlinear Schrödinger equation with the quadratic nonlinearity
Ruoyuan Liu
We study the two-dimensional periodic nonlinear Schrödinger equation (NLS) with the quadratic nonlinearity . In particular, we study the quadratic NLS with random initial da…
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…
Sharp local well-posedness of the two-dimensional periodic nonlinear Schrödinger equation with a quadratic nonlinearity
Ruoyuan Liu, Tadahiro Oh
We study the nonlinear Schrödinger equation (NLS) with the quadratic nonlinearity , posed on the two-dimensional torus . While the relevant -Strichartz es…
Rademacher-Gaussian tail comparison for complex coefficients and related problems
Giorgos Chasapis, Ruoyuan Liu, Tomasz Tkocz
We provide a generalisation of Pinelis' Rademacher-Gaussian tail comparison to complex coefficients. We also establish uniform bounds on the probability that the magnitude of weigh…
On the two-dimensional singular stochastic viscous nonlinear wave equations
Ruoyuan Liu, Tadahiro Oh
We study the stochastic viscous nonlinear wave equations (SvNLW) on , forced by a fractional derivative of the space-time white noise . In particular, we consider S…
A note on the extremal noncentral sections of the cross-polytope
Ruoyuan Liu, Tomasz Tkocz
We find minimal and maximal length of intersections of lines at a fixed distance to the origin with the cross-polytope. We also find maximal volume noncentral sections of the cross…