Zhilin Yang

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math.PR2025

Gaussian Fluctuations for the Stochastic Landau-Lifshitz Navier-Stokes Equation in Dimension $D \geq 2$

Sotiris Kotitsas, Marco Romito, Zhilin Yang +1

We revisit the large-scale Gaussian fluctuations for the stochastic Landau-Lifshitz Navier-Stokes equation (LLNS) at and above criticality, using the method in \cite{CGT24}. With t…

math.PR2024

Weak coupling limit of a Brownian particle in the curl of the 2D GFF

Huanyu Yang, Zhilin Yang

In this article, we study the weak coupling limit of the following equation in $R^{2}$ : $$dX_t^\varepsilon=\frac{\hatÎ»}{\sqrt{\log\frac1\varepsilon}}Ï^\varepsilon(X_t^\var…

Gaussian Fluctuations for the Stochastic Landau-Lifshitz Navier-Stokes Equation in Dimension D≥2

Weak coupling limit of a Brownian particle in the curl of the 2D GFF

Gaussian Fluctuations for the Stochastic Landau-Lifshitz Navier-Stokes Equation in Dimension $D \geq 2$