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math.AP2026
Invariant Gibbs measures and global dynamics for fractional cubic Schrödinger equations on the torus
Yuzhao Wang, Haitian Yue, Chenyuan Zhang +1
We consider the defocusing Wick-ordered cubic fractional nonlinear Schrödinger equation on the two-dimensional torus with dispersion relation . In the weakly dispers…
math.AP2025
Nonlinear Schrödinger equation with Ornstein-Uhlenbeck operator
Xueying Yu, Haitian Yue, Zehua Zhao
In this work, we introduce and study nonlinear Schrödinger equations (NLS) with anisotropic dispersion, where the standard Laplacian acts on the Euclidean variable \(x \in \mathbb…
math.AP2024
Invariant Gibbs measures and global strong solutions for nonlinear Schrödinger equations in dimension two
Yu Deng, Andrea R. Nahmod, Haitian Yue
We consider the defocusing nonlinear Schrödinger equation on with Wick ordered power nonlinearity, and prove almost sure global well-posedness with respect to the a…