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Published or accepted papers


Submitted papers







Published or accepted papers
  1. D. Albritton, T. Barker, C. Prange:
    "Localized smoothing and concentration for the Navier-Stokes equations in the half space"
    J. Funct. Anal., 284 (2023), n. 1, Paper n. 109729

  2. D. Albritton, T. Barker, C. Prange:
    "Epsilon regularity for the Navier-Stokes equations via weak-strong uniqueness"
    J. Math. Fluid Mech. (special issue in the memory of Olga Ladyzhenskaya), 25 (2023), n. 3, Paper n. 49

  3. F. Ancona, R. Bianchini, C. Perrin:
    "Hard congestion limit of the p-system in the BV setting"
    ESAIM Proc. Surveys, 72 (2023), 41-63

  4. T. Barker, P. Fernández Dalgo, C. Prange:
    "Blow-up of dynamically restricted critical norms near a potential Navier-Stokes singularity"
    Math. Ann., accepted for publication, 2023

  5. T. Barker, C. Prange:
    "From concentration to quantitative regularity: a short survey of recent developments for the Navier-Stokes equations"
    Vietnam J. Math. (special issue dedicated to Carlos Kenig's 70th birthday), accepted for publication, 2023

  6. T. Barker, C. Prange, J. Tan:
    "On symmetry breaking for the Navier-Stokes equations"
    Comm. Math. Phys., accepted for publication, 2023

  7. M. Bravin:
    "On the existence of weak solutions for the 2D incompressible Euler equations with in-out flow and source and sink points"
    J. Math. Fluid Mech., 24 (2022), n. 4, Paper n. 105

  8. M. Bravin, F. Fanelli:
    "Fast rotating non-homogeneous fluids in thin domains and the Ekman pumping effect"
    J. Math. Fluid Mech., 25 (2023), n. 4, Paper n. 83

  9. M. Bravin, F. Fanelli:
    "Global existence for non-homogeneous incompressible inviscid fluids in presence of Ekman pumping"
    Commun. Contemp. Math., accepted for publication, 2025

  10. D. Bresch, C. Burtea:
    "Extension of the Hoff solutions framework to cover compressible Navier-Stokes equations with possible anisotropic viscous tensor"
    Indiana Univ. Math. J., 72 (2023), n. 5, 2145-2189

  11. C. Burtea, T. Crin-Barat, J. Tan:
    "Relaxation limit for a damped one-velocity Baer-Nunziato model to a Kapila model"
    Math. Models Methods Appl. Sci., 33 (2023), n. 4, 687-753

  12. C. Burtea, S. Gavrilyuk, C. Perrin:
    "Hamilton's principle of stationary action in multiphase flow modeling"
    Panor. Synthèses, 61, Société Mathématique de France, Paris, 2024

  13. C. Burtea, B. Haspot:
    "Vanishing capillarity limit of the Navier-Stokes-Korteweg system in one dimension with degenerate viscosity coefficient and discontinuous initial density"
    SIAM J. Math. Anal., 54 (2022), n. 2, 1428-1469

  14. C. Burtea, N. Meunier, C. Mouhot:
    "Concentration in an advection-diffusion model with diffusion coefficient depending on the past trajectory"
    Discrete Contin. Dyn. Syst., 44 (2024), n. 12, 3649-3668

  15. N. Chaudhuri, M. A. Mehmood, C. Perrin, E. Zatorska:
    "Duality solutions to the hard-congestion model for the dissipative Aw-Rascle system"
    Comm. Partial Differential Equations, accepted for publication (2024)

  16. N. Chaudhuri, L. Navoret, C. Perrin, E. Zatorska:
    "Hard congestion limit in a dissipative Aw-Rascle system"
    Nonlinearity, 37 (2024), n. 4, Paper n. 045018

  17. D. Cobb:
    "Bounded solutions in incompressible hydrodynamics"
    J. Funct. Anal., 286 (2024), n. 5, Paper n. 110290

  18. D. Cobb:
    "Remarks on Chemin's space of homogeneous distributions"
    Math. Nachr., 297 (2024), n. 3, 895-913

  19. D. Cobb, F. Fanelli:
    "Simmetry breaking in ideal magnetohydrodynamics: the role of the velocity"
    J. Elliptic Parabol. Equ., 7 (2021), n. 2, 273-295

  20. F. Colombini, D. Del Santo, F. Fanelli:
    "Well-posedness results for hyperbolic operators with coefficients rapidly oscillating in time"
    Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), accepted for publication, 2023

  21. O. Cuvillier, F. Fanelli, E. Salguero:
    "Well-posedness of the Kolmogorov two-equation model of turbulence in optimal Sobolev spaces"
    J. Evol. Equ., 23 (2023), n. 4, Paper n. 68

  22. A.-L. Dalibard, G. Lopez Ruiz, C. Perrin:
    "Traveling waves for the porous medium equation in the incompressible limit: asymptotic behavior and nonlinear stability"
    Indiana Univ. Math. J., 73 (2024), n. 2, 581-643

  23. A.-L. Dalibard, C. Perrin:
    "Partially congested propagation fronts in one-dimensional Navier-Stokes equations"
    J. Elliptic Parabol. Equ., 7 (2021), n. 2, 491-507

  24. A.-L. Dalibard, C. Perrin:
    "Local and global well-posedness of one-dimensional free-congested equations"
    Ann. H. Lebesgue, 7 (2024), 1175-1243.

  25. D. Del Santo, F. Fanelli, G. Sbaiz, A. Wróblewska-Kamińska:
    "On the influence of gravity in the dynamics of geophysical flows"
    Math. Eng., 5 (2023), n. 1, Paper n. 008

  26. F. Fanelli:
    "Incompressible and fast rotation limit for barotropic Navier-Stokes equations at large Mach numbers"
    Phys. D, 428 (2021), Paper n. 133049

  27. F. Fanelli, E. Feireisl:
    "Thermally driven fluid convection in the incompressible limit regime"
    Pure Appl. Anal., 6 (2024), n. 3, 835-858

  28. F. Fanelli, E. Feireisl, M. Hofmanová:
    "Ergodic theory for energetically open compressible fluid flows"
    Phys. D, 423 (2021), Paper n. 132914

  29. F. Fanelli, R. Granero-Belinchón:
    "Finite time blow-up for some parabolic systems arising in turbulence theory"
    Z. Angew. Math. Phys., 73 (2022), n. 5, Paper n. 180

  30. F. Fanelli, R. Granero-Belinchón:
    "Well-posedness and singularity formation for the Kolmogorov two-equation model of turbulence in 1-D"
    J. Dynam. Differential Equations, accepted for publication (2023)

  31. F. Fanelli, R. Granero-Belinchón, S. Scrobogna:
    "Well-posedness theory for non-homogeneous incompressible fluids with odd viscosity"
    J. Math. Pures Appl. (9), 187 (2024), 58-137

  32. F. Fanelli, A. F. Vasseur:
    "Effective velocity and L∞-based well-posedness for incompressible fluids with odd viscosity"
    SIAM J. Math. Anal., 57 (2025), n. 1, 153-189

  33. F. Fanelli, E. Zatorska:
    "Low Mach number limit for degenerate Navier-Stokes equations in presence of strong stratification"
    Comm. Math. Phys., 400 (2023), n. 3, 1463-1506

  34. M. Higaki, C. Prange, J. Zhuge:
    "Large-scale regularity for the stationary Navier-Stokes equations over non-Lipschitz boundaries"
    Anal. PDE, accepted for publication, 2021

  35. R. M. Höfer, C. Prange, F. Sueur:
    "Motion of several slender rigid filaments in a Stokes flow"
    J. Éc. polytech. Math., 9 (2022), 327-380

  36. L. Kosloff, G. Sbaiz:
    "Fast rotation and inviscid limits for the SQG equation with general ill-prepared initial data"
    NoDEA Nonlinear Differential Equations Appl., 31 (2024), n. 4, Paper n. 49

  37. B. Melinand:
    "Dispersive estimates for nonhomogeneous radial phases: an application to weakly dispersive equations and water wave models"
    J. Funct. Anal., 286 (2024), n. 1, Paper n. 110204

  38. C. Perrin, K. Saleh:
    "Numerical staggered schemes for the free-congested Navier-Stokes equations"
    SIAM J. Numer. Anal., 60 (2022), n. 4, 1824-1852

  39. G. Sbaiz:
    "Fast rotation limit for the 2-D non-homogeneous incompressible Euler equations"
    J. Math. Anal. Appl., 512 (2022), n. 1, Paper n. 126140

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Submitted papers
  1. D. Bresch, C. Burtea, P. Gonin-Joubert, F. Lagoutière:
    "Mathematical Justification of a Compressible Two-Phase Averaged System with Temperature but Without Heat Conductivity"
    submitted, 2024

  2. C. Burtea, M. Szlenk:
    "Weak solutions to the Navier-Stokes equations for steady compressible non-Newtonian fluids"
    submitted, 2024

  3. J.-Y. Chemin, F. Fanelli, I. Gallagher:
    "Ekman boundary layers in a domain with topography"
    submitted, 2024

  4. D. Cobb:
    "On the well-posedness of a fractional Stokes-transport system"
    submitted, 2023

  5. V. Duchêne, B. Melinand:
    "Rectification of a deep water model for surface gravity waves"
    submitted, 2022

  6. F. Fanelli:
    "Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D"
    submitted, 2025

  7. B. Melinand:
    "Rigid lid limit in shallow water over a flat bottom"
    submitted, 2023

  8. C. Prange, J. Tan:
    "Free boundary regularity of vacuum states for incompressible viscous flows in unbounded domains"
    submitted, 2023

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