3 papers
math.AP2026
Finite-time blow-up for the four-dimensional mass-critical quadratic nonlinear Schrödinger system without mass resonance
Ngoc Uyen Cong Nguyen, Van Duong Dinh
We study the focusing quadratic nonlinear Schrödinger system \[ \begin{cases} i\partial_t u+Δu=-2v\overline{u}, \\ i\partial_t v+κΔv=-u^2, \end{cases} \qquad (t,x)\in I\times\mathb…
math.AP2026
From bosonic canonical ensembles to non-linear Gibbs measures
van Duong Dinh, Nicolas Rougerie
We study the mean-field limit of the 1D bosonic canonical ensemble in a superharmonic trap. This is the regime with temperature proportional to particle number, both diverging to i…
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…