Jiahui Zhu

collaborators

3 papers

math.PR2025

Stochastic transport equation with LÃ©vy noise

ZdzisÅaw BrzeÅºniak, Enrico Priola, Jianliang Zhai +1

We study the stochastic transport equation with globally $I^^{2}$ -HÃ¶lder continuous and bounded vector field driven by a non-degenerate pure-jump LÃ©vy noise of $I^\pm$ -stable type. Wher…

math.PR2025

Stochastic logarithmic SchrÃ¶dinger equations driven by LÃ©vy noise

Jiahui Zhu, Jianliang Zhai

In this paper, we study the stochastic logrithmic SchrÃ¶dinger equation with saturated nonlinear multiplicative LÃ©vy noise. The global well-posedness is established for the stocha…

math.PR2024

Large deviation principles for stochastic nonlinear Schrodinger equations driven by Levy noise

Jiahui Zhu, Wei Liu, Jianliang Zhai

In this work we establish a Freidlin-Wentzell type large deviation principle for stochastic nonlinear SchrÃ¶dinger equation, with either focusing or defocusing nonlinearity, driven…