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20102026
most citedRandom attractors for a class of stochastic partial differential equations driven by general additive noise

140 citations · 709 across the 61 of their papers we have counts for

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math.PR2026

The Incompressible Navier--Stokes--Fourier System with Thermal Noise

Benjamin Gess, Max Sauerbrey, Zhengyan Wu

We establish a solution theory for the incompressible Navier--Stokes--Fourier system with thermal noise, posed on the three-dimensional torus. While in the incompressible determini…

math.PR2024★ 1 cited

Conservative stochastic PDEs on the whole space

Benjamin Fehrman, Benjamin Gess

The purpose of this paper is to establish a well-posedness theory for conservative stochastic partial differential equations on the whole space. This class of stochastic PDEs arise…

math.PR2024

A quantitative central limit theorem for the simple symmetric exclusion process

Benjamin Gess, Vitalii Konarovskyi

A quantitative central limit theorem for the simple symmetric exclusion process (SSEP) on a -dimensional discrete torus is proven. The argument is based on a comparison of the g…

math.PR2024

Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits

Benjamin Gess, Zhengyan Wu, Rangrang Zhang

Higher order fluctuation expansions for stochastic heat equations (SHE) with nonlinear, non-conservative and conservative noise are obtained. These Edgeworth-type expansions descri…

math.PR2024

SVI solutions to stochastic nonlinear diffusion equations on general measure spaces

Benjamin Gess, Michael Röckner, Weina Wu

We establish a framework for the existence and uniqueness of solutions to stochastic nonlinear (possibly multi-valued) diffusion equations driven by multiplicative noise, with the…

math.PR2023★ 1 cited

Landau-Lifshitz-Navier-Stokes Equations: Large Deviations and Relationship to The Energy Equality

Benjamin Gess, Daniel Heydecker, Zhengyan Wu

The dynamical large deviations principle for the three-dimensional incompressible Landau-Lifschitz-Navier-Stokes equations is shown, in the joint scaling regime of vanishing noise…