3 citations · 3 across the 10 of their papers we have counts for
5 papers · 1 filter
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…