From the 1 of 6 linked papers with an AI index.
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The stochastic Keller--Segel system in critical spaces
Jae-Hwan Choi, Ankit Kumar, Andrea Pitrone +2
The paper analyzes stochastic Keller–Segel equations on a d‑dimensional torus within scaling‑critical Besov spaces, establishing local well‑posedness and showing that, for sufficie…
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…
A stochastic flow approach to De Giorgi-Nash-Moser estimates for SPDEs with smooth transport noise
Antonio Agresti, Max Sauerbrey, Mark Veraar
The celebrated De Giorgi-Nash-Moser theory ensures that solutions to uniformly elliptic or parabolic PDEs are bounded and Hölder continuous, even with merely bounded measurable co…
Solutions to the stochastic thin-film equation for the range of mobility exponents
Max Sauerbrey
Recently, many existence results for the stochastic thin-film equation were established in the case of a quadratic mobility exponent , in which the noise term $\partial_x(u^\f…