Lin Lu

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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…