Eliseo Luongo
Dr. · Postdoctoral Researcher
TU Berlin
Research profile
Eliseo Luongo works on stochastic partial differential equations and nonlinear PDEs, with a particular focus on problems arising in fluid mechanics and transport theory. A central theme of his research is understanding the mechanisms governing well-posedness and non-uniqueness in these equations. He studies how stochastic perturbations can regularize the dynamics, enhance dissipation, or select solutions in singular regimes, as well as how instability mechanisms can lead to non-uniqueness in supercritical PDEs.
Research areas
SPDEs · Fluid Dynamics · Regularization by Noise · Instability and Non-Uniqueness
Five research keywords
stochastic fluid dynamics · transport noise · Navier–Stokes equations · scaling limits · supercritical PDEs
Contact and links
Academic links
Curriculum vitae
| Date | Appointment / education |
|---|---|
| Current | Postdoctoral researcher, Stochastic Analysis in the Sciences, Technische Universität Berlin. |
| September 2024–September 2026 | Postdoctoral researcher, Bielefeld University. |
| November 2020–September 2024 | PhD, Scuola Normale Superiore, Pisa, supervised by Prof. Franco Flandoli. Thesis: Stochastic Problems for Turbulent Fluids in Domains with Boundaries. |
| October 2020 | Degree in Mathematical Engineering, Politecnico di Milano. |
Publications
This catalogue contains all publications by the member, including work from before joining SAiS. Journal versions and preprints are maintained as one record per scientific work.
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Uniform Approximation of 2D Navier-Stokes Equations with Vorticity Creation by Stochastic Interacting Particle Systems
Published · Nonlinearity 36(12), 7149–7190 (2023). We consider a stochastic interacting particle system in a bounded domain with reflecting boundary, including creation of new particles on the boundary prescribed by a given source term. We show that such particle system approximates 2d Navier-Stokes equations in vorticity…
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Dissipation properties of transport noise in the two-layer quasi-geostrophic model
Published · Journal of Mathematical Fluid Mechanics 25, 28 (2023). A stochastic version of the two-layer quasi-geostrophic model (2LQG) with multiplicative transport noise is analysed. This popular intermediate complexity model describes large scale atmosphere and ocean dynamics at the mid-latitudes. The transport…
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The Dissipation Properties of Transport Noise
Published · Stochastic Transport in Upper Ocean Dynamics, Mathematics of Planet Earth 10, pp. 69–85 (2023).
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Inviscid Limit for Stochastic Second-Grade Fluid Equations
Published · Stochastics and Partial Differential Equations: Analysis and Computations 12(2), 1046–1099 (2024). We consider in a smooth and bounded two dimensional domain the convergence in the $L^2$ norm, uniformly in time, of the solution of the stochastic second-grade fluid equations with transport noise and no-slip boundary conditions to the solution of the…
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On the Hausdorff Measure of ℝ^n with the Euclidean Topology
Published · Real Analysis Exchange 48(1), 101–106 (2023). In this paper we answer a question raised by David H. Fremlin about the Hausdorff measure of $\mathbb{R}^2$ with respect to a distance inducing the Euclidean topology. In particular we prove that the Hausdorff $n$-dimensional measure of $\mathbb{R}^n$ is never…
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Inviscid limit for Stochastic Navier-Stokes Equations under general initial conditions
Published · Journal of Differential Equations 389, 114–149 (2024). We consider in a smooth and bounded two dimensional domain the convergence in the $L^2$ norm, uniformly in time, of the solution of the stochastic Navier-Stokes equations with additive noise and no-slip boundary conditions to the solution of the corresponding…
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Heat diffusion in a channel under white noise modeling of turbulence
Published · Mathematics in Engineering 4(4), 1–21 (2022).
Current SAiS projects
No current SAiS project assignment has been confirmed; information should be provided if applicable.
Talks and posters
Talks
| Date | Talk |
|---|---|
| September 2026 | Spectral instability in fluid mechanics and non-uniqueness for the Keller-Segel system, Conference on Deterministic and SPDEs in Fluid Dynamics and Beyond, York, United Kingdom. |
| September 2026 | Anomalous Regularization and Dissipation for 2D Euler Equations with Rough Kraichnan Noise, DMV Annual Meeting, Konstanz, Germany. |
| July 2026 | Anomalous Regularization and Dissipation for 2D Euler Equations with Rough Kraichnan Noise, 15th AIMS Conference, Athens, Greece. |
| June 2026 | Anomalous Regularization and Dissipation for 2D Euler Equations with Rough Kraichnan Noise, Fifth Italian Meeting of Probability and Mathematical Statistics, Palermo, Italy. |
| September 2025 | Zero-noise Selection for the Stochastic Transport Equation beyond DiPerna–Lions, Mathematical Analysis of Fluid Flows by Variational Methods, Berlin, Germany. |
| July 2025 | Spectral instability in fluid mechanics and non-uniqueness of supercritical heat equations, Analysis Seminar, Basel, Switzerland. |
| December 2024 | Mean-Field Magnetohydrodynamics Models as Scaling Limits of Stochastic Induction Equations, M.A.P. Seminars, Pisa, Italy. |
| June 2024 | Global Well-Posedness and Interior Regularity of 2D Navier–Stokes Equations with Stochastic Wind Driven Boundary Conditions, Fourth Italian Meeting of Probability and Mathematical Statistics, Rome, Italy. |
| May 2024 | Global Well-Posedness and Interior Regularity of 2D Navier–Stokes Equations with Stochastic Wind Driven Boundary Conditions, SPDEvent, Bielefeld, Germany. |
| April 2024 | Global Well-Posedness and Interior Regularity of 2D Navier–Stokes Equations with Stochastic Wind Driven Boundary Conditions, Polimi Probability Seminars, Politecnico di Milano, Milan, Italy. |
| January 2024 | A Stochastic Particle Approximation of the 2D Navier–Stokes Equations with Vorticity Generation, Seminars in Analysis and Applications, TU Delft, Netherlands. |
| July 2023 | A Stochastic Particle Approximation Approach of the 2D Navier–Stokes Equations with Vorticity Generation, 43rd Conference on Stochastic Processes and their Applications, Lisbon, Portugal. |
| January 2023 | A Stochastic Particle Approximation Approach of the 2D Navier–Stokes Equations with Vorticity Generation, PMS² Pavia–Milano Seminar Series on Probability and Mathematical Statistics, Milan, Italy. |
| October 2022 | Inviscid Limit for Stochastic Second-Grade Fluid Equations, Oberwolfach Seminar: Stochastic Geophysical Fluid Dynamics, Oberwolfach, Germany. |
| June 2022 | Inviscid Limit for Stochastic Navier–Stokes Equations in 2D Domains with Boundary, Third Italian Meeting of Probability and Mathematical Statistics, Bologna, Italy. |
| April 2022 | Inviscid Limit for Stochastic Navier–Stokes Equations in 2D Domains with Boundary, SPASS Seminars in Probability, Stochastic Analysis and Statistics, Pisa, Italy. |
Teaching
Selected teaching activities: information to be provided by the member.