Yuzhao Wang

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math.AP2025

Invariant Gibbs dynamics for the nonlinear Schrödinger equations on the disc

Justin Forlano, Yuzhao Wang

We consider the two-dimensional defocusing nonlinear Schrödinger equation (NLS) on the unit disc in the plane with the Gibbs initial data under radial symmetry. By using a type of…

math.AP2025

On restricted-type Strichartz estimates and the applications

Yangkendi Deng, Han Wang, Yuzhao Wang +1

We establish a rigorous framework for the Zakharov system on waveguide manifolds $R^{m} \times T^{n}$ ( $m, n \geq 1$ ), which models the nonlinear coupling between optic…

math.AP2023

Statistical mechanics of the radial focusing nonlinear Schrödinger equation in general traps

Van Duong Dinh, Nicolas Rougerie, Leonardo Tolomeo +1

In this paper, we investigate the Gibbs measures associated with the focusing nonlinear Schrödinger equation with an anharmonic potential. We establish a dichotomy for normalizabil…