2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.AP2024★ 2 cited
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…
math.AP2023
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…
math.AP2019
Almost conservation laws for stochastic nonlinear Schrödinger equations
Kelvin Cheung, Guopeng Li, Tadahiro Oh
In this paper, we present a globalization argument for stochastic nonlinear dispersive PDEs with additive noises by adapting the -method (= the method of almost conservation law…