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Theresa Lange

Thank you for visiting my MiS profile. I am currently an Emmy-Noether research group leader with project “Noise in convection: modelling and analysis”.

My research lies at the intersection of probability and partial differential equations and I am particularly interested in applications in fluid dynamics. I study the effect of random perturbations on the well-posedness and dynamical behaviour of fluid models. Please refer also to the webpage of my project to learn more about the research activities in my group.

  • Master Mathematics M.Sc., TU Berlin 2018
  • PhD Mathematics Dr. rer. nat., within SFB1294 Data assimilation, TU Berlin 2021
  • PostDoc within ERC “FluFloRan” of Prof. Martina Hofmanová, University of Bielefeld 2021 - 2024
  • PostDoc within ERC “NoisyFluids” of Prof. Franco Flandoli, Scuola Normale Superiore di Pisa 2024 - 2026

Publications

Preprint
2025
Irfan Glogić et al.

Non-uniqueness of mild solutions to supercritical heat equations

ArXiv: 2501.17032
inJournal
2024
Martina Hofmanová et al.

Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise

In: Probability theory and related fields
DOI: 10.1007/s00440-023-01233-5 ArXiv: 2212.12217
Preprint
2024
Theresa Lange et al.

Non-uniqueness of Leray-Hopf solutions for the \(3D\) fractional Navier-Stokes equations perturbed by transport noise

ArXiv: 2412.16532
inJournal
2024
Florian Bechtold et al.

On convex integration solutions to the surface quasi-geostrophic equation driven by generic additive noise

In: Electronic journal of probability
DOI: 10.1214/24-EJP1221 ArXiv: 2311.00670
inJournal
2024
Theresa Lange

Regularization by noise of an averaged version of the Navier-Stokes equations

In: Journal of dynamics and differential equations
DOI: 10.1007/s10884-023-10255-5 ArXiv: 2205.14941
inJournal
2021
Theresa Lange

Derivation of ensemble Kalman-Bucy filters with unbounded nonlinear coefficients

In: Nonlinearity
DOI: 10.1088/1361-6544/ac4337 ArXiv: 2012.07572
inJournal
2021
Theresa Lange et al.

Mean field limit of Ensemble Square Root Filters : discrete and continuous time

In: Foundations of data science
DOI: 10.3934/fods.2021003 ArXiv: 2011.10516
inJournal
2021
Theresa Lange et al.

On the continuous time limit of Ensemble Square Root Filters

In: Communications in mathematical sciences
DOI: 10.4310/CMS.2021.v19.n7.a5 ArXiv: 1910.12493
inJournal
2021
Theresa Lange et al.

On the continuous time limit of the ensemble Kalman filter

In: Mathematics of computation
DOI: 10.1090/mcom/3588 ArXiv: 1901.05204
Academic
2021
Theresa Lange

Stochastic analysis of ensemble-based Kalman-type filtering algortihms in discrete and continuous time

Dissertation, Technical University Berlin
DOI: 10.14279/depositonce-11855
All Personal Publications
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