18 citations · 41 across the 20 of their papers we have counts for
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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…
Intermediate long wave equation in negative Sobolev spaces
Andreia Chapouto, Justin Forlano, Guopeng Li +2
We study the intermediate long wave equation (ILW) in negative Sobolev spaces. In particular, despite the lack of scaling invariance, we identify the regularity as…
Deep-water limit of the intermediate long wave equation in
Andreia Chapouto, Guopeng Li, Tadahiro Oh +1
We study the well-posedness issue of the intermediate long wave equation (ILW) on both the real line and the circle. By applying the gauge transform for the Benjamin-Ono equation (…
Global well-posedness of the energy-critical stochastic Hartree nonlinear wave equation
Guopeng Li, Liying Tao, Tengfei Zhao
We consider the Cauchy problem for the stochastic Hartree nonlinear wave equations (SHNLW) with a cubic convolution nonlinearity and an additive stochastic forcing on the Euclidean…
Optimal divergence rate of the focusing Gibbs measures
Damiano Greco, Guopeng Li, Rui Liang +2
We study Gibbs measures on the -dimensional torus with -(super)critical focusing interaction potentials. We establish a precise divergence rate of the partition function as…
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}…