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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Stochastic Flows with Strong Shear – Part I: Strong Completeness and Set Attractors
Preprint · 2026-10-05. This work studies strong completeness and set attractors for stochastic flows with strong shear, including how rapid radius-dependent rotation can prevent the existence of a global flow.
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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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Anomalous properties of 2D active scalars perturbed by rough transport noise
Preprint · 2026-09-22. This work studies regularization, integrability, and dissipation for two-dimensional active scalar equations driven by rough transport noise, including Euler, surface quasi-geostrophic, and incompressible porous media models.
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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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Weak synchronisation for McKean–Vlasov SDEs
Synchronisation by noise for McKean–Vlasov stochastic differential equations is investigated. A transfer principle is introduced by which synchronisation by noise and diagonal mixing can be transferred from an associated limiting frozen-diffusion SDE to a genuinely law-dependent McKean–Vlasov SDE. The usefulness…
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NumGM project approved
The DFG has approved the 36-month project “Numerically Efficient Learning of Generative Models and Beyond (NumGM).”
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An Effective SPDE Model for a Schrödinger Equation with a Fluctuating Magnetic Potential
We consider the Schrödinger equation for a charged particle in a randomly fluctuating external magnetic field and establish a singular perturbation limit in which the solution converges to a deterministic Schrödinger equation with Gaussian fluctuations. We propose a stochastic Schrödinger…
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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.
