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Antonio Agresti
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  • RESEARCH
  • TEACHING & MENTORING
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Antonio Agresti
  • HOME
  • RESEARCH
  • TEACHING & MENTORING
  • CV
  • More
    • HOME
    • RESEARCH
    • TEACHING & MENTORING
    • CV

Preprints 

  1. Global classical solutions by transport noise for reaction-diffusion systems with entropy dissipation, 2026
    with M. Kniely, B. Q. Tang

  2. Absence of blow-up in the 3D Navier-Stokes equations with transport noise, 2026

  3. Global smooth solutions by high mode Lie-transport noise for logarithmically hyperdissipative Navier-Stokes equations, 2026
    with F. Butori, E. Luongo

  4. An optimal local theory for reaction-diffusion equations driven by non-trace-class noise, 2026
    with F. Germ, M. Veraar

  5. Fractal dimension of singular times for SPDEs: Energy bounds, criticality, and weak-strong uniqueness, 2026

  6. Sharp bounds for non-trace class noise and applications to SPDEs, 2026
    with F. Germ, M. Veraar

  7. A stochastic flow approach to De Giorgi-Nash-Moser estimates for SPDEs, 2025
    with M. Sauerbrey, M. Veraar

  8. Lagrangian chaos and unique ergodicity for stochastic primitive equations, 2025

  9. The primitive equations with rough transport noise: Global well-posedness and regularity, 2023

Articles

  1. The large deviation principle for the stochastic 3D primitive equations with transport noise
    with E. Theewis – To appear in Journal of Mathematical Fluid Mechanics

  2. Global smooth solutions by transport noise of 3D Navier-Stokes equations with small hyperviscosity
    To appear in Annals of Probability (arXiv)

  3. Well-posedness of the stochastic thin-film equation with an interface potential
    with M. Sauerbrey – Communications in Mathematical Physics, 2026 (arXiv)

  4. A Note on a threshold for temporal regularity of stochastic PDEs
    with M. Veraar – Comptes Rendus Mathématique, 2026 (arXiv)

  5. On anomalous dissipation induced by transport noise
    Mathematische Annalen, 2025 (arXiv)

  6. Global well-posedness of 2D Navier-Stokes with Dirichlet boundary fractional noise
    with A. Blessing (Neamtu), E. Luongo – Nonlinearity, 2025 (arXiv)

  7. The stochastic primitive equations with non-isothermal turbulent pressure
    with M. Hieber, A. Hussein, M. Saal – Annals of Applied Probability, 2025 (arXiv)

  8. Reaction-diffusion equations with transport noise and critical superlinear diffusion: Global well-posedness of weakly dissipative systems
    with M. Veraar – SIAM Journal on Mathematical Analysis, 2024 (arXiv)

  9. Stochastic maximal $L^p(L^q)$-regularity for second order systems with periodic boundary conditions
    with M. Veraar – Annales de l'Institut Henri Poincaré (B) Probability and Statistics, 2024 (arXiv)

  10. Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions
    with E. Luongo – Mathematische Annalen, 2024 (arXiv)

  11. Stochastic Navier-Stokes equations for turbulent flows in critical spaces
    with M. Veraar – Communications in Mathematical Physics, 2024 (arXiv)

  12. The critical variational setting for stochastic evolution equations
    with M. Veraar – Probability Theory and Related Fields, 2024 (arXiv)

  13. Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations
    Stochastic and Partial Differential Equations: Analysis and Computations, 2023 (arXiv)

  14. Maximal $L^p$-regularity and $H^{\infty}$-calculus for block operator matrices and applications
    with A. Hussein – Journal of Functional Analysis, 2023 (arXiv)

  15. Reaction-diffusion equations with transport noise and critical superlinear diffusion: Local well-posedness and positivity
    with M. Veraar – Journal of Differential Equations, 2023 (arXiv)

  16.  On the trace embedding and its applications to evolution equations
    with N. Lindemulder, M. Veraar – Mathematische Nachrichten, 2023 (arXiv)

  17. The stochastic primitive equations with transport noise and turbulent pressure
    with M. Hieber, A. Hussein, M. Saal – Stochastic and Partial Differential Equations: Analysis and Computations, 2022 (arXiv)

  18. Nonlinear parabolic stochastic evolution equations in critical spaces Part II: Blow-up criteria and instantaneous regularization
    with M. Veraar – Journal of Evolution Equations, 2022 (arXiv)

  19. Nonlinear parabolic stochastic evolution equations in critical spaces Part I: Stochastic maximal regularity and local existence
    with M. Veraar – Nonlinearity, 2022 (arXiv)

  20.  Time memory effect in entropy decay of Ornstein-Uhlenbeck operators
    with  P. Loreti, D. Sforza – Minimax Theory and Applications, 2021 (arXiv)

  21. Alternating and variable controls for the wave equation
    with  D. Andreucci, P. Loreti – ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV), 2020 (arXiv)

  22. Stability properties of stochastic maximal $L^p$-regularity
    with M. Veraar – Journal of Mathematical Analysis and Applications, 2020 (arXiv)

Survey

  • Nonlinear SPDEs and maximal regularity: An extended survey
    with M. Veraar – Nonlinear Differential Equations and Applications (Collection in Memory of Beppe Da Prato), 2025 (arXiv)

Book Chapters & Proceedings

  • On the Role of $L^p(L^q)$-techniques in Regularization by Noise of Reaction-diffusion Equations
    Stochastic Geophysical Fluid Dynamics (Oberwolfach Seminars), 2025

  • Observability for the Wave Equation with Variable Support in the Dirichlet and Neumann Cases
    with D. Andreucci, P. Loreti – Lecture Notes in Electrical Engineering (Springer book series), Informatics in Control, Automation and Robotics, 2019

  • Variable Support Control for the Wave Equation - A Multiplier Approach
    with D. Andreucci, P. Loreti – Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics (ICINCO), 2018 (arXiv)

PhD thesis

  • Nonlinear parabolic stochastic evolution equations in critical spaces, 2021

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