Lin Lu

collaborators

3 papers

math-ph2026

Derivation of the focusing $I^¦_{1}^{6}$ measure in the optimal mass regime from many-body quantum Gibbs states

Lin LÃ¼, Phan ThÃ nh Nam, Rongchan Zhu

We derive the focusing $I^¦_{1}^{6}$ measure on the torus $T$ as the high-temperature/mean-field limit of many-body quantum Gibbs states with an attractive three-body interacti…

math.PR2025

A proof of Onsager's conjecture for the stochastic 3D Euler equations

Huaxiang LÃ¼, Lin LÃ¼, Rongchan Zhu

This paper investigates the stochastic 3D Euler equations on a periodic domain $T^{3}$ , driven by a $G G^{*}$ -Wiener process $B$ of trace class: \begin{align*} \mathrm{d} u+\ma…

math.PR2025

Stationary solutions to stochastic 3D Euler equations in HÃ¶lder space

Lin LÃ¼, Rongchan Zhu

We establish the existence of infinitely many global and stationary solutions in $C (R; C^{ϑ})$ space for some $ϑ > 0$ to the three dimensional Euler equations…

Derivation of the focusing I^¦16​ measure in the optimal mass regime from many-body quantum Gibbs states

A proof of Onsager's conjecture for the stochastic 3D Euler equations

Stationary solutions to stochastic 3D Euler equations in HÃ¶lder space

Derivation of the focusing $I^¦_{1}^{6}$ measure in the optimal mass regime from many-body quantum Gibbs states