5 papers · 1 filter
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…
Norm inflation for the cubic hyperbolic NLS on
Shunlin Shen, Yuzhao Wang
We prove norm inflation for the cubic hyperbolic nonlinear Schrödinger equation in for every . The scaling-critical point …
Hyperbolic -model on the plane
Tadahiro Oh, Leonardo Tolomeo, Yuzhao Wang +1
We study the hyperbolic -model on the plane. By establishing coming down from infinity for the associated stochastic nonlinear heat equation (SNLH) on the plane, we fir…
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 Hölder-Besov space $\mathcal C^s = B^{s}…
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 mea…