Assistant Professor, EPFL Lausanne

Email: maria.colombo AT epfl.ch

Home-page: https://amcv.epfl.ch

arxiv id: colombo_m_1

Available papers (56):

[plain text]

• E. Bruè - M. Colombo - A. Kumar (Preprint)
  Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity (2024)
• L. Chizat - M. Colombo - X. Fernández-Real - A. Figalli (Accepted Paper: Comm. Pure Appl. Math.)
  Infinite-width limit of deep linear neural networks (2024)
• E. Bruè - M. Colombo - A. Kumar (Preprint)
  Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field (2024)
• G. M. Coclite - M. Colombo - G. Crippa - N. De Nitti - A. Keimer - E. Marconi - L. Pflug - L. V. Spinolo (Submitted Paper)
  Oleĭnik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit (2023)
• M. Colombo - R. Tione (Accepted Paper: JEMS)
  Non-classical solutions of the $p$-Laplace equation (2022)
• M. Colombo - G. Crippa - E. Marconi - L. V. Spinolo (Preprint)
  Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate (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)
• M. Colombo - A. De Rosa - A. Marchese - P. Pegon - A. Prouff (Discrete and Continuous Dynamical Systems)
  Stability of optimal traffic plans in the irrigation problem (2022)
• D. Albritton - E. Bruè - M. Colombo (Annals of PDE)
  Gluing non-unique Navier-Stokes solutions (2022)
• M. Colombo - S. Di Marino - F. Stra (preprint)
  First order expansion in the semiclassical limit of the Levy-Lieb functional (2021)
• M. Colombo - A. De Rosa - A. Marchese (Comm. Pure App. Math.)
  On the well-posedness of branched transportation (2021)
• M. Colombo - R. Tione (JMPA)
  On the commutativity of flows of rough vector fields (2021)
• M. Colombo - G. Crippa - E. Marconi - L. V. Spinolo (Accepted Paper: Ann. de l'institute H. Poincaré, Analyse non linéaire)
  Local limit of nonlocal traffic models: convergence results and total variation blow-up (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 - M. Colombo (Accepted Paper: Communications in Mathematical Physics)
  Nonuniqueness of solutions to the Euler equations with vorticity in a Lorentz space (2021)
• D. Albritton - E. Bruè - M. Colombo (Annals of Mathematics)
  Non-uniqueness of Leray solutions of the forced Navier-Stokes equations (2021)
• M. Colombo - L. Spolaor - B. Velichkov (Interfaces and Free Boundaries)
  Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem (2021)
• M. Colombo - C. De Lellis - A. Massaccesi (Comm. Pure Appl. Math.)
  The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system (2020)
• E. Bruè - M. Colombo - C. De Lellis (Arch. Rat. Mech. Anal.)
  Positive solutions of transport equations and classical nonuniqueness of characteristic curves (2020)
• M. Colombo - L. Spolaor - B. Velichkov (Comm. Pure Appl. Math.)
  Direct epiperimetric inequalities for the thin obstacle problem and applications (2020)
• M. Colombo - L. Spolaor - B. Velichkov (J. Reine Angew. Math.)
  On the asymptotic behavior of the solutions to parabolic variational inequalities (2020)
• S. Di Marino - F. Stra - M. Colombo (Submitted Paper)
  Continuity of multi-marginal optimal transport with repulsive cost (2019)
• M. Colombo - M. Fathi (Preprint)
  Bounds on optimal transport maps onto log-concave measures (2019)
• M. Colombo - A. De Rosa - A. Marchese (J. Math. Pures Appl.)
  Stability for the mailing problem (2019)
• P. Baroni - M. Colombo - G. Mingione (Calc. Var. Partial Differ. Equ.)
  Regularity for general functionals with double phase (2018)
• M. Colombo - C. De Lellis - L. De Rosa (Comm. Math. Phys.)
  Ill-posedness of Leray solutions for the ipodissipative Navier--Stokes equations (2018)
• M. Colombo - A. De Rosa - A. Marchese (Calc. Var. Partial Differential Equations)
  Improved stability of optimal traffic paths (2018)
• M. Colombo - L. Spolaor - B. Velichkov (Geom. Funct. Anal.)
  A logarithmic epiperimetric inequality for the obstacle problem (2018)
• S. Bianchini - M. Colombo - G. Crippa - L. V. Spinolo (Submitted Paper)
  Optimality of integrability estimates for advection-diffusion equations (2017)
• M. Colombo - A. De Rosa - A. Marchese - S. Stuvard (Nonlinear Analysis)
  On the lower semicontinuous envelope of functionals defined on polyhedral chains (2017)
• M. Colombo - L. Spolaor (Accepted Paper: CAG)
  Quantitative estimate on singularities in isoperimetric clusters (2017)
• M. Colombo - G. Crippa - L. V. Spinolo (Preprint)
  On the singular local limit for conservation laws with nonlocal fluxes (2017)
• M. Colombo - N. Edelen - L. Spolaor (Accepted Paper: JDG)
  The singular set of minimal surfaces near polyhedral cones (2017)
• M. Colombo - A. Figalli - Y. Jhaveri (Ann. Sc. Norm. Super. Pisa Cl. Sci.)
  Lipschitz changes of variables between perturbations of log-concave measures (2017)
• L. Ambrosio - M. Colombo - A. Figalli (Duke Math. J.)
  On the Lagrangian structure of transport equations: the Vlasov-Poisson system (2017)
• A. Braides - M. Colombo - M. Gobbino - M. Solci (C. R. Acad. Sci. Paris, Ser. I)
  Minimizing movements along a sequence of functionals and curves of maximal slope (2016)
• M. Colombo - F. Maggi (Accepted Paper: Nonlinear Analysis)
  Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters (2016)
• P. Baroni - M. Colombo - G. Mingione (St. Petersburg Math. J.)
  Non-autonomous functionals, borderline cases and related function classes (2016)
• M. Colombo - G. Crippa - S. Spirito (Accepted Paper: Calc. Var. PDE)
  Renormalized solutions to the continuity equation with an integrable damping term (2015)
• M. Colombo (Phd Thesis)
  Flows of non-smooth vector fields and degenerate elliptic equations (2015)
• P. Baroni - M. Colombo - G. Mingione (Nonlinear Analysis)
  Harnack inequalities for double phase functionals (2015)
• M. Colombo - F. Stra (Accepted Paper: Math. Models Methods Appl. Sci.)
  Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data (2015)
• L. Ambrosio - M. Colombo - A. Figalli (Arch. Ration. Mech. Anal.)
  Existence and uniqueness of maximal regular flows for non-smooth vector fields (2015)
• M. Colombo - E. Indrei (Accepted Paper: Math. Res. Lett.)
  Obstructions to regularity in the classical Monge problem (2014)
• L. Ambrosio - M. Colombo - G. De Philippis - A. Figalli (Discrete Contin. Dyn. Syst.)
  A global existence result for the semigeostrophic equations in three dimensional convex domains (2014)
• M. Colombo - A. Figalli (J. Math. Pures Appl.)
  Regularity results for very degenerate elliptic equations (2014)
• M. Colombo - A. Figalli (Discrete Contin. Dyn. Syst.)
  An excess-decay result for a class of degenerate elliptic equations (2014)
• M. Colombo - S. Di Marino (Accepted Paper: Ann. Mat. Pura Appl.)
  Equality between Monge and Kantorovich multimarginal problems with Coulomb cost (2013)
• M. Colombo - L. De Pascale - S. Di Marino (Accepted Paper: Canad. J. Math.)
  Multimarginal Optimal Transpor Maps for 1-Dimensional Repulsive Costs (2013)
• F. Cagnetti - M. Colombo - G. De Philippis - F. Maggi (Accepted Paper: Anal. PDE)
  Rigidity of equality cases in Steiner's perimeter inequality (2013)
• F. Cagnetti - M. Colombo - G. De Philippis - F. Maggi (Accepted Paper: J. Eur. Math. Soc.)
  Essential connectedness and the rigidity problem for Gaussian symmetrization (2013)
• E. Bardelli - M. Colombo - A. C. G. Mennucci - A. Yezzi ( Fifth Workshop on Non-Rigid Shape Analysis and Deformable Image Alignment (NORDIA'12))
  Multiple Object Tracking via Prediction and Filtering with a Sobolev-type Metric on Curves (2012)
• L. Ambrosio - M. Colombo - S. Di Marino (Accepted Paper: Advanced Studies in Pure Mathematics: "Variational methods for evolving objects")
  Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope (2012)
• L. Ambrosio - M. Colombo - G. De Philippis - A. Figalli (Comm. Partial Differential Equations)
  Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case (2012)
• M. Colombo - M. Gobbino (Accepted Paper: Math. Models Methods Appl. Sci.)
  Passing to the limit in maximal slope curves: from a regularized Perona-Malik equation to the total variation flow (2011)
• M. Colombo - M. Gobbino (Accepted Paper: SIAM J. Math. Anal.)
  Slow time behavior of the semidiscrete Perona-Malik scheme in dimension one (2010)

Seminars:

• 4 may 2021: Partial regularity for the supercritical surface quasigeostrophic equation
• 2 jun 2020: (Webinar) Nonunique characteristic curves of Sobolev vector fields
• 16 jun 2014: Equality cases and rigidity in symmetrization inequalities
• 5 dec 2012: Regularity results for a very degenerate elliptic equation with applications to traffic dynamic
• 30 mar 2011: Slow time behavior of different approximations of the Perona-Malik equation

Speaker:

• 1 sep 2024 - 7 sep 2024: VARIATIONAL ANALYSIS AND APPLICATIONS - 77th Course of the International School of Mathematics «Guido Stampacchia»
• 4 jul 2022 - 6 jul 2022: Durham Days of Analysis and PDEs - (online) Summer School
• 1 jul 2019 - 5 jul 2019: European Mathematical Society Summer School "Partial differential equations from theory to applications"
• 11 jun 2018 - 15 jun 2018: Geometric Measure Theory in Verona
• 25 may 2018 - 25 may 2018: Brescia-Trento Nonlinear Day Ed. II
• 3 jul 2017 - 6 jul 2017: Recent Advances in PDEs and the Calculus of Variations
• 26 jun 2017 - 30 jun 2017: Curves and Networks in Geometric Analysis
• 25 oct 2016 - 28 oct 2016: Workshop in Geometric Measure Theory, Shape Optimisation and Free Boundaries
• 16 jun 2014 - 20 jun 2014: Isoperimetric Problems Between Analysis and Geometry

Organizer:

• 3 jul 2023 - 7 jul 2023: Summer school: Deterministic and random features of fluids
• 24 apr 2017 - 26 apr 2017: Transport problems in Zurich