4 papers
math-ph2026
Derivation of the focusing measure in the optimal mass regime from many-body quantum Gibbs states
Lin Lü, Phan Thành Nam, Rongchan Zhu
We derive the focusing measure on the torus as the high-temperature/mean-field limit of many-body quantum Gibbs states with an attractive three-body interactio…
math.PR2025
A proof of Onsager's conjecture for the stochastic 3D Euler equations
Huaxiang Lü, Lin Lü, Rongchan Zhu
This paper investigates the stochastic 3D Euler equations on a periodic domain , driven by a -Wiener process of trace class: \begin{align*} \mathrm{d} u+\ma…
math.PR2024
Hölder continuous solutions to stochastic 3D Euler equations via stochastic convex integration
Lin Lü
In this paper, we are concerned with the three dimensional Euler equations driven by an additive stochastic forcing. First, we construct global Hölder continuous (stationary) solut…
math.PR2024
Stationary solutions to stochastic 3D Euler equations in Hölder space
Lin Lü, Rongchan Zhu
We establish the existence of infinitely many global and stationary solutions in space for some to the three dimensional Euler equations…