3 papers
math.AP2026
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 normalizabi…
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 (), which models the nonlinear coupling between optic…