Fluctuations in Continuum: conference at TU Berlin, 19–23 April 2027
Our group organizes Fluctuations in Continuum at TU Berlin, 19–23 April 2027. Poster title and abstract deadline: 15 January 2027.
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Welcome Johanna Weinberger
We welcome Johanna Weinberger as a joint postdoctoral researcher with Benjamin Gess, Felix Otto, and Nicolas Perkowski at MPI MiS.
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Parabolic-hyperbolic splitting in support propagation for stochastic porous media equations
Preprint · arXiv:2609.11468 (2026). Max Sauerbrey and Joshua Utley study support propagation and waiting-time phenomena for stochastic porous media equations with conservative noise.
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The Schrödinger equation with fluctuating nonlinearity in the energy space
We study nonlinear Schrödinger equations with nonlinear Stratonovich noise in their energy space $H^1(\mathbb R^d;\mathbb C)$. By combining the stochastic Strichartz estimates derived in [Potential Anal. 41 (2014), pp.\ 269–315] with the approach from [Ann.\ Inst.\ H.\ Poincaré Phys.\ Théor.\…
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Finite speed of propagation and waiting time phenomena for stochastic porous media equations with nonlinear conservative noise
Starting from localized energy estimates, we prove finite speed of propagation for kinetic solutions to stochastic porous media equations with nonlinear conservative noise, the existence and uniqueness of which has recently been established. In particular, we propose a novel iteration technique which…
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The stochastic Cahn-Hilliard equation in critical spaces
We study stochastic Cahn-Hilliard equations in bounded smooth domains with a double-well potential, transport-type noise, and natural Neumann boundary conditions in dimensions $d\le 4$. By employing stochastic maximal regularity techniques and deriving suitable energy estimates, we prove local and global well-posedness. The…
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FluCo postdoctoral position — application deadline passed
The stated application deadline for this FluCo postdoctoral position was 11 September 2026.
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Compact Support Property of Super-Brownian Motion with Irregular Drift
We prove the compact support property for a one-dimensional super-Brownian motion with irregular drift and establish support-radius estimates and positive extinction probability.
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The stochastic Keller–Segel system in critical spaces
Accepted / forthcoming · Oberwolfach Report for the seminar Stochastic Partial Differential Equations in Critical Spaces. We study stochastic, parabolic-parabolic Keller–Segel equations on the $d$-dimensional torus in scaling critical Besov spaces, for $d \geq 3$. Using stochastic maximal regularity estimates, we prove local well-posedness of the equation, i.e.,…
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Effective fluctuating continuum models for stochastic gradient descent
Workshop report · Oberwolfach Reports 23(1), 821–822 (2026). Fluctuating continuum descriptions of stochastic gradient descent.
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Introduce thermal noise before discretizing, not afterwards!
Workshop report · Oberwolfach Reports 23(1), 803–806 (2026). Incorporating thermal noise before discretising a continuum model.
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An Additive-Noise Approximation to Keller-Segel-Dean-Kawasaki Dynamics: Small-Noise Results
Published · Electronic Journal of Probability 31 (2026), 1–55. We study an additive-noise approximation to Keller-Segel-Dean-Kawasaki dynamics, which is proposed as an approximate model to the fluctuating hydrodynamics of chemotactically interacting particles around their mean-field limit. As such, the interaction potential…
