Rough and nonlinear transport in stochastic fluid dynamics

Project information

Publications:

2026

Gess, B., Gvalani, R.S. & Konarovskyi, V. Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent. Probab. Theory Relat. Fields 192, 1447–1515 (2025).

Benjamin Gess, Robert Lasarzik: "Probabilistically Strong Solutions to Stochastic Euler Equations", arxiv:2601.22073 (2026)

B. Gess, R. S. Gvalani, and A. Martini: “Ergodicity of SPDEs with divergence-free transport noise”, arXiv:2601.22056 (2026)

2025

Z. P. Adams, M. Engel, and R. S. Gvalani: “Separation of time scales in weakly interacting diffusions”, arXiv:2502.12881 (2025)
 
R. Chemnitz and D. Chemnitz: “Mixing at the Batchelor Scale for White-In-Time Flows”, arXiv:2512.04297 (2025)
 
M. G. Delgadino and R. S. Gvalani: “Sharp mean-field estimates for the repulsive log gas in any dimension”, arXiv:2506.22083 (2025)
 
N. Gerber, R. S. Gvalani, M. Hairer, G. A. Pavliotis, and A. Schlichting: “Formation of clusters and coarsening in weakly interacting diffusions”, arXiv:2510.17629 (2025)
 
B. Gess, R. S. Gvalani, and S. Hu: “Random dynamical systems for McKean–Vlasov SDEs via rough path theory”, arXiv:2507.02449 (2025)

2024

Michele Coti Zelati, Theodore D. Drivas, Rishabh S. Gvalani: Mixing by Statistically Self-similar Gaussian Random Fields,  J Stat Phys 191, 61 (2024). https://doi.org/10.1007/s10955-024-03277-w

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