3 citations · 3 across the 10 of their papers we have counts for
11 papers
Parabolic-hyperbolic splitting in support propagation for stochastic porous media equations
Max Sauerbrey, Joshua Utley
We develop a randomly-localized energy method to derive qualitative results on the support propagation of stochastic porous media equations with linear conservative noise. Unlike i…
The Schrödinger equation with fluctuating nonlinearity in the energy space
Max Sauerbrey, Joris van Winden
We study nonlinear Schrödinger equations with nonlinear Stratonovich noise \begin{equation*} \mathrm{d} u\,=\, i\bigl[ Δu \,+\, λ|u|^{p-1}u\bigr] \, \mathrm{d} t \,+\,i|u|^{(q-1)/2…
Finite speed of propagation and waiting time phenomena for stochastic porous media equations with nonlinear conservative noise
Günther Grün, Max Sauerbrey, Joshua Utley
Starting from localized energy estimates, we prove finite speed of propagation for kinetic solutions to stochastic porous media equations with nonlinear conservative noise, the exi…
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…
Well-posedness of the stochastic thin-film equation with an interface potential
Antonio Agresti, Max Sauerbrey
We consider strictly positive solutions to a class of fourth-order conservative quasilinear SPDEs on the -dimensional torus modeled after the stochastic thin-film equation. We p…
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…
Solutions to the stochastic thin-film equation for initial values with non-full support
Konstantinos Dareiotis, Benjamin Gess, Manuel V. Gnann +1
The stochastic thin-film equation with mobility exponent on the one-dimensional torus with multiplicative Stratonovich noise is considered. We show that mart…
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…