18 citations · 41 across the 20 of their papers we have counts for
5 papers · 1 filter
Deep-water and shallow-water limits of statistical equilibria for the intermediate long wave equation
Andreia Chapouto, Guopeng Li, Tadahiro Oh
We study the construction of invariant measures associated with higher order conservation laws of the intermediate long wave equation (ILW) and their convergence properties in the…
Global well-posedness of the energy-critical stochastic nonlinear Schrödinger equation on the three-dimensional torus
Guopeng Li, Mamoru Okamoto, Liying Tao
We study the Cauchy problem of the defocusing energy-critical stochastic nonlinear Schrödinger equation (SNLS) on the three dimensional torus, forced by an additive noise. We adapt…
Compact bilinear operators and paraproducts revisited
Árpád Bényi, Guopeng Li, Tadahiro Oh +1
We present a new proof of the compactness of bilinear paraproducts with CMO symbols. By drawing an analogy to compact linear operators, we first explore further properties of compa…
Compact theorem à la Stein
Árpád Bényi, Guopeng Li, Tadahiro Oh +1
We prove a compact theorem, involving quantitative estimates, analogous to the quantitative classical theorem due to Stein. We also discuss the -to-…
Unconditional deep-water limit of the intermediate long wave equation in low-regularity
Justin Forlano, Guopeng Li, Tengfei Zhao
In this paper, we establish the unconditional deep-water limit of the intermediate long wave equation (ILW) to the Benjamin-Ono equation (BO) in low-regularity Sobolev spaces on bo…