Yuzhao Wang

activity

20092026

most citedSolving the 4NLS with white noise initial data

24 citations · 199 across the 28 of their papers we have counts for

collaborators

32 papers

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 $ω (k) = ∣ k ∣^{α}$ . In the weakly dispersive…

math.AP2026

Norm inflation for the cubic hyperbolic NLS on $T^{2}$

Shunlin Shen, Yuzhao Wang

We prove norm inflation for the cubic hyperbolic nonlinear Schrödinger equation in $H^{s} (T^{2})$ for every $s \in (- \infty, 0) \cup (0, \frac{1}{2}]$ . The scaling-critical point $s = 0$ i…

math.AP2023

Gibbs dynamics for fractional nonlinear Schrödinger equations with weak dispersion

Rui Liang, Yuzhao Wang

We consider the Cauchy problem for the one-dimensional periodic cubic nonlinear fractional Schr{ö}dinger equation (FNLS) with initial data distributed via its associated Gibbs meas…

math.PR2022★ 3 cited

Focusing Gibbs measures with harmonic potential

Tristan Robert, Kihoon Seong, Leonardo Tolomeo +1

In this paper, we study the Gibbs measures associated to the focusing nonlinear Schrödinger equation with harmonic potential on Euclidean spaces. We establish a dichotomy for norma…

math.AP2022

Hyperbolic $P (Φ)_{2}$ -model on the plane

Tadahiro Oh, Leonardo Tolomeo, Yuzhao Wang +1

We study the hyperbolic $Φ_{2}^{k + 1}$ -model on the plane. By establishing coming down from infinity for the associated stochastic nonlinear heat equation (SNLH) on the plane, we firs…

math.AP2022

Norm inflation for the derivative nonlinear Schrödinger equation

Yuzhao Wang, Younes Zine

In this note, we study the ill-posedness problem for the derivative nonlinear Schrödinger equation (DNLS) in the one-dimensional setting. More precisely, by using a ternary-quinary…