Elia Bruè
[bruè]
Bocconi University
Email: elia.brue AT unibocconi.it
Available papers (40):
[plain text]- E. Bruè - A. Naber - D. Semola (Ann. of Math.)
Fundamental Groups and the Milnor Conjecture (2025) - E. Bruè - A. Naber - D. Semola (Preprint)
Compact Manifolds with Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature (2025) - E. Bruè - C. De Lellis (Preprint)
Some rigorous remarks on Migdal's momentum loop equation (2025) - E. Bruè - A. Naber - D. Semola (Preprint)
Fukaya-Yamaguchi Conjecture in Dimension Four (2025) - E. Bruè - M. Colombo - C. J. P. Johansson (preprint)
Lyapunov exponents, entropy and mixing for DiPerna-Lions flows (2025) - E. Bruè - A. Pigati - D. Semola (Accepted Paper: Duke Math. J.)
Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below (2025) - E. Bruè - M. Colombo - A. Kumar (Preprint)
Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity (2024) - E. Bruè - A. Naber - D. Semola (Geometry & Topology)
Stability of Tori under Lower Sectional Curvature (2024) - C. Brena - E. Bruè - A. Pigati (preprint)
Lower Ricci Curvature Bounds and the Orientability of Spaces (2024) - E. Bruè - M. Colombo - A. Kumar (Accepted Paper: J. Eur. Math. Soc)
Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field (2024) - E. Bruè - A. Mondino - D. Semola (Geom. Funct. Anal.)
The metric measure boundary of spaces with Ricci curvature bounded below (2023) - E. Bruè - A. Naber - D. Semola (Accepted Paper: J. Eur. Math. Soc.)
Six dimensional counterexample to the Milnor Conjecture (2023) - E. Bruè - M. Calzi - G. E. Comi - G. Stefani (C. R. Math.)
A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics II (2022) - E. Bruè - M. Colombo - G. Crippa - C. De Lellis - M. Sorella (Communications on Pure and Applied Analysis)
Onsager critical solutions of the forced Navier-Stokes equations (2022) - E. Bruè - C. De Lellis (Comm. Math. Phys.)
Anomalous dissipation for the forced 3D Navier-Stokes equations (2022) - G. Antonelli - E. Bruè - M. Fogagnolo - M. Pozzetta (Calculus of Variations and Partial Differential Equations)
On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth (2022) - D. Albritton - E. Bruè - M. Colombo (Annals of PDE)
Gluing non-unique Navier-Stokes solutions (2022) - E. Bruè - M. Coti Zelati - E. Marconi (Accepted Paper: Arch. Rat. Mech. Anal.)
Enhanced dissipation for two-dimensional Hamiltonian flows (2022) - E. Bruè - E. Pasqualetto - D. Semola (Annales Fennici Mathematici)
Rectifiability of RCD(K,N) spaces via $\delta$-splitting maps (2021) - E. Bruè - Q. Deng - D. Semola (Nonlinear Analysis)
Improved regularity estimates for Lagrangian flows on RCD(K,N) spaces (2021) - D. Albritton - E. Bruè - M. Colombo - C. De Lellis - V. Giri - M. Janisch - H. Kwon (Accepted Paper: Annals of Mathematics Studies)
Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik (2021) - E. Bruè - E. Pasqualetto - D. Semola (Ann. Sc. Norm. Super. Pisa Cl. Sci.)
Constancy of the dimension in codimension one and locality of the unit normal on $\mathrm{RCD}(K,N)$ spaces (2021) - D. Albritton - E. Bruè - M. Colombo (Annals of Mathematics)
Non-uniqueness of Leray solutions of the forced Navier-Stokes equations (2021) - E. Bruè - M. Colombo (Accepted Paper: Communications in Mathematical Physics)
Nonuniqueness of solutions to the Euler equations with vorticity in a Lorentz space (2021) - E. Bruè - K. Suzuki (Accepted Paper: Calculus of Variations and Partial Differential Equations)
BV functions and sets of finite Perimeter on Configuration Spaces (2021) - E. Bruè - D. Semola (Comm. Pure and Applied Math.)
Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows (2020) - E. Bruè - D. Semola (J. Reine Angew. Math.)
Regularity of Lagrangian flows over $RCD^*(K,N)$ spaces (2020) - E. Bruè (Ph.D. Thesis)
Structure of non-smooth spaces with Ricci curvature bounded below (2020) - E. Bruè - A. Naber - D. Semola (Inventiones mathematicae)
Boundary regularity and stability for spaces with Ricci bounded below (2020) - E. Bruè - Q. H. Nguyen (Communications in Mathematical Physics)
Advection diffusion equations with Sobolev velocity field (2020) - E. Bruè - M. Colombo - C. De Lellis (Arch. Rat. Mech. Anal.)
Positive solutions of transport equations and classical nonuniqueness of characteristic curves (2020) - L. Ambrosio - E. Bruè - D. Semola (Geom. Funct. Anal.)
Rigidity of the 1-Bakry-Émery inequality and sets of finite perimeter in RCD spaces (2019) - E. Bruè - Q. H. Nguyen - G. Stefani (Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)
A maximal function characterization of absolutely continuous measures and Sobolev functions (2019) - E. Bruè - E. Pasqualetto - D. Semola (Journal of the European Mathematical Society (JEMS))
Rectifiability of the reduced boundary for sets of finite perimeter over RCD(K,N) spaces (2019) - E. Bruè - Q. H. Nguyen (Mathematische Annalen)
Sobolev estimates for solutions of the transport equation and ODE flows associated to non-Lipschitz drifts (2019) - G. Antonelli - E. Bruè - D. Semola (Anal. Geom. Metr. Spaces)
Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces (2019) - E. Bruè - S. Di Marino - F. Stra (Journal of Functional Analysis)
Linear Lipschitz and $C^1$ extension operators through random projections (2018) - E. Bruè - Q. H. Nguyen (Analysis and PDE)
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields (2018) - E. Bruè - Q. H. Nguyen (Advances in Nonlinear Analysis)
On the Sobolev space of functions with derivative of logarithmic order (2018) - L. Ambrosio - E. Bruè - D. Trevisan (Adv. Math.)
Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and $RCD(K,\infty)$ spaces (2017)
Speaker:
- 8 sep 2025 - 11 sep 2025: Perspectives in Geometric Analysis
- 3 sep 2025 - 5 sep 2025: Boundary Analysis for Dispersive and Viscous Fluids
- 16 sep 2024 - 20 sep 2024: Workshop "Calculus of Variations: a New Generation"
- 9 sep 2024 - 13 sep 2024: Summer school in fluid dynamics and nonlinear PDEs
- 21 may 2024 - 24 may 2024: Workshop: Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension
- 26 oct 2023 - 26 oct 2023: XI Giornata MI-PV
- 28 aug 2023 - 30 aug 2023: Three days between Analysis and Geometry in Trento - 2° edition (New fundings available for Postdocs!!)
- 20 feb 2023 - 22 feb 2023: New Trends in Geometric & Variational PDEs
- 1 apr 2019 - 5 apr 2019: Optimal Transport and Geometric Analysis
Organizer:
- 11 jun 2018 - 11 jun 2018: Non-smooth Geometry and Optimal Transport