Yuzhao Wang

activity

20242026

collaborators

4 papers

math.AP2026

Invariant Gibbs measures and global dynamics for fractional cubic SchrÃ¶dinger equations on the torus

Yuzhao Wang, Haitian Yue, Chenyuan Zhang +1

We consider the defocusing Wick-ordered cubic fractional nonlinear SchrÃ¶dinger equation on the two-dimensional torus with dispersion relation $I ¨ (k) = ∣ k ∣^{I^} \pm$ . In the weakly dispers…

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 SchrÃ¶dinger equation in $H^{s} (T^{2})$ for every $s \in (- \infty, 0) \cup (0, \frac{1}{2}]$ . The scaling-critical point $s = 0$ …

math.AP2025

Hyperbolic $P (I^¦)_{2}$ -model on the plane

Tadahiro Oh, Leonardo Tolomeo, Yuzhao Wang +1

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

math.AP2024

Norm inflation for the cubic nonlinear heat equation above the scaling critical regularity

Ilya Chevyrev, Tadahiro Oh, Yuzhao Wang

We consider the ill-posedness issue for the cubic nonlinear heat equation and prove norm inflation with infinite loss of regularity in the HÃ¶lder-Besov space $\mathcal C^s = B^{s}…

Invariant Gibbs measures and global dynamics for fractional cubic SchrÃ¶dinger equations on the torus

Norm inflation for the cubic hyperbolic NLS on T2

Hyperbolic P(I^¦)2​-model on the plane

Norm inflation for the cubic nonlinear heat equation above the scaling critical regularity

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

Hyperbolic $P (I^¦)_{2}$ -model on the plane