3 citations · 3 across the 10 of their papers we have counts for
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The stochastic Keller--Segel system in critical spaces
Jae-Hwan Choi, Ankit Kumar, Andrea Pitrone +2
We study stochastic, parabolic-parabolic Keller--Segel equations on the -dimensional torus in scaling critical Besov spaces, for . Using stochastic maximal regularity…
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 coe…
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…
Dirichlet form analysis of the Jacobi process
Martin Grothaus, Max Sauerbrey
We construct and analyze the Jacobi process - in mathematical biology referred to as Wright-Fisher diffusion - using a Dirichlet form. The corresponding Dirichlet space takes the f…
Martingale solutions to the stochastic thin-film equation in two dimensions
Max Sauerbrey
We construct solutions to the stochastic thin-film equation with quadratic mobility and Stratonovich gradient noise in the physically relevant dimension and allow in particul…