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  1. Energy conservation for weak solutions of incompressible fluid equations: The Hölder case and connections with Onsager's conjecture

    Article • Journal of Differential Equations, September 2023, Elsevier

    Prof. Luigi C Berselli

  2. Remarks on the “Onsager Singularity Theorem” for Leray–Hopf Weak Solutions: The Hölder Continuous Case

    Article • Mathematics, February 2023, MDPI AG

    Prof. Luigi C Berselli

  3. Convergence of second-order in time numerical discretizations for the evolution Navier-Stokes equations

    Article • Advances in Continuous and Discrete Models, November 2022, Springer Science + Business Media

    Prof. Luigi C Berselli

  4. Natural second-order regularity for parabolic systems with operators having $$(p,\delta )$$-structure and depending only on the symmetric gradient

    Article • Calculus of Variations and Partial Differential Equations, May 2022, Springer Science + Business Media

    Prof. Luigi C Berselli

  5. Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications

    Article • Mathematical Models and Methods in Applied Sciences, October 2021, World Scientific Pub Co Pte Lt

    Prof. Luigi C Berselli

  6. On the uniqueness for weak solutions of steady double-phase fluids

    Article • Advances in Nonlinear Analysis, September 2021, De Gruyter

    Prof. Luigi C Berselli

  7. On the Existence of Leray-Hopf Weak Solutions to the Navier-Stokes Equations

    Article • Fluids, January 2021, MDPI AG

    Prof. Luigi C Berselli

  8. Modeling error of $ \alpha $-models of turbulence on a two-dimensional torus

    Article • Discrete and Continuous Dynamical Systems - B, January 2021, American Institute of Mathematical Sciences (AIMS)

    Prof. Luigi C Berselli

  9. Rotational Forms of Large Eddy Simulation Turbulence Models: Modeling and Mathematical Theory

    Article • Chinese Annals of Mathematics Series B, January 2021, Springer Science + Business Media

    Prof. Luigi C Berselli

  10. On the existence of weak solutions for the steady Baldwin-Lomax model and generalizations

    Article • Journal of Mathematical Analysis and Applications, September 2020, Elsevier

    Prof. Luigi C Berselli

  11. Turbulent flows as generalized Kelvin–Voigt materials: Modeling and analysis

    Article • Nonlinear Analysis, July 2020, Elsevier

    Prof. Luigi C Berselli

  12. Classical Solutions of the Divergence Equation with Dini Continuous Data

    Article • Journal of Mathematical Fluid Mechanics, April 2020, Springer Science + Business Media

    Prof. Luigi C Berselli

  13. On the energy equality for the 3D Navier–Stokes equations

    Article • Nonlinear Analysis, March 2020, Elsevier

    Prof. Luigi C Berselli

  14. Long-time Reynolds averaging of reduced order models for fluid flows: Preliminary results

    Article • Mathematics in Engineering, January 2020, American Institute of Mathematical Sciences (AIMS)

    Prof. Luigi C Berselli

  15. On the analysis of a geometrically selective turbulence model

    Article • Advances in Nonlinear Analysis, January 2020, De Gruyter

    Prof. Luigi C Berselli

  16. On the regularity of solution to the time-dependent p-Stokes system

    Article • Opuscula Mathematica, January 2020, AGHU University of Science and Technology Press

    Prof. Luigi C Berselli

  17. On the Reynolds time-averaged equations and the long-time behavior of Leray–Hopf weak solutions, with applications to ensemble averages

    Article • Nonlinearity, October 2019, Institute of Physics Publishing

    Prof. Luigi C Berselli

  18. Classical solutions for the system $\bf {\text{curl}\, v = g}$, with vanishing Dirichlet boundary conditions

    Article • Discrete and Continuous Dynamical Systems - S, January 2019, American Institute of Mathematical Sciences (AIMS)

    Prof. Luigi C Berselli

  19. Spatial Filtering for Reduced Order Modeling

    Article • January 2019, Springer Science + Business Media

    Prof. Luigi C Berselli

  20. Global regularity for systems with p-structure depending on the symmetric gradient

    Article • Advances in Nonlinear Analysis, October 2018, De Gruyter

    Prof. Luigi C Berselli

  21. Suitable weak solutions of the Navier–Stokes equations constructed by a space–time numerical discretization

    Article • Journal de Mathématiques Pures et Appliquées, September 2018, Elsevier

    Prof. Luigi C Berselli

  22. On the convergence of a fully discrete scheme of LES type to physically relevant solutions of the incompressible Navier–Stokes

    Article • Zeitschrift für angewandte Mathematik und Physik, May 2018, Springer Science + Business Media

    Prof. Luigi C Berselli

  23. On the Bardina’s Model in the Whole Space

    Article • Journal of Mathematical Fluid Mechanics, April 2018, Springer Science + Business Media

    Prof. Luigi C Berselli

  24. On the construction of suitable weak solutions to the 3D Navier–Stokes equations in a bounded domain by an artificial compressibility method

    Article • Communications in Contemporary Mathematics, February 2018, World Scientific Pub Co Pte Lt

    Prof. Luigi C Berselli

  25. A note on the Euler–Voigt system in a 3D bounded domain: Propagation of singularities and absence of the boundary layer

    Article • AIMS Mathematics, January 2018, American Institute of Mathematical Sciences (AIMS)

    Prof. Luigi C Berselli

  26. The Caccioppoli ultrafunctions

    Article • Advances in Nonlinear Analysis, December 2017, De Gruyter

    Dr. Carlo Romano Grisanti, Prof. Luigi C Berselli

  27. Global regularity properties of steady shear thinning flows

    Article • Journal of Mathematical Analysis and Applications, June 2017, Elsevier

    Prof. Luigi C Berselli

  28. Suitable weak solutions to the 3D Navier–Stokes equations are constructed with the Voigt approximation

    Article • Journal of Differential Equations, March 2017, Elsevier

    Prof. Luigi C Berselli

  29. Analysis of a reduced-order approximate deconvolution model and its interpretation as a Navier-Stokes-Voigt regularization

    Article • Discrete and Continuous Dynamical Systems - B, March 2016, American Institute of Mathematical Sciences (AIMS)

    Prof. Luigi C Berselli

  30. ASHEE-1.0: a compressible, equilibrium–Eulerian model for volcanic ash plumes

    Article • Geoscientific Model Development, February 2016, Copernicus GmbH

    Prof. Luigi C Berselli

  31. Tributes to Hugo Beirão da Veiga

    Article • January 2016, American Mathematical Society (AMS)

    Prof. Luigi C Berselli

  32. Weak solutions to the Navier-Stokes equations constructed by semi-discretization are suitable

    Article • January 2016, American Mathematical Society (AMS)

    Prof. Luigi C Berselli

  33. On the regularity up to the boundary for certain nonlinear elliptic systems

    Article • Discrete and Continuous Dynamical Systems - S, December 2015, American Institute of Mathematical Sciences (AIMS)

    Prof. Luigi C Berselli

  34. Preface

    Article • Discrete and Continuous Dynamical Systems - S, December 2015, American Institute of Mathematical Sciences (AIMS)

    Prof. Luigi C Berselli

  35. Convergence analysis for a finite element approximation of a steady model for electrorheological fluids

    Article • Numerische Mathematik, June 2015, Springer Science + Business Media

    Prof. Luigi C Berselli

  36. Direct Numerical Simulation of a Compressible Multiphase Flow Through the Eulerian Approach

    Article • January 2015, Springer Science + Business Media

    Prof. Maria Vittoria Salvetti, Prof. Luigi C Berselli

  37. On the Boussinesq equations with anisotropic filter in a vertical pipe

    Article • Dynamics of Partial Differential Equations, January 2015, International Press of Boston

    Prof. Luigi C Berselli

  38. On the Well-Posedness of the Boussinesq Equations with Anisotropic Filter for Turbulent Flows

    Article • Zeitschrift für Analysis und ihre Anwendungen, January 2015, European Mathematical Publishing House

    Prof. Luigi C Berselli

  39. On the existence of almost-periodic solutions for the 2D dissipative Euler equations

    Article • Revista Matemática Iberoamericana, January 2015, European Mathematical Publishing House

    Prof. Luigi C Berselli

  40. Logarithmic and improved regularity criteria for the 3D nematic liquid crystals models, Boussinesq system, and MHD equations in a bounded domain

    Article • Communications on Pure &amp Applied Analysis, December 2014, American Institute of Mathematical Sciences (AIMS)

    Prof. Luigi C Berselli

  41. Disperse Two-Phase Flows, with Applications to Geophysical Problems

    Article • Pure and Applied Geophysics, July 2014, Springer Science + Business Media

    Prof. Luigi C Berselli

  42. Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids

    Article • IMA Journal of Numerical Analysis, May 2014, Oxford University Press (OUP)

    Prof. Luigi C Berselli

  43. A Note on Strong Solutions to the Stokes System

    Article • Acta Applicandae Mathematicae, February 2014, Springer Science + Business Media

    Prof. Luigi C Berselli

  44. Local solvability and turning for the inhomogeneous Muskat problem

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, January 2014, European Mathematical Publishing House

    Prof. Luigi C Berselli

  45. Pulsatile Viscous Flows in Elliptical Vessels and Annuli: Solution to the Inverse Problem, with Application to Blood and Cerebrospinal Fluid Flow

    Article • SIAM Journal on Applied Mathematics, January 2014, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Luigi C Berselli

  46. An elementary approach to the inviscid limits for the 3D Navier–Stokes equations with slip boundary conditions and applications to the 3D Boussinesq equations

    Article • Nonlinear Differential Equations and Applications NoDEA, July 2013, Springer Science + Business Media

    Prof. Luigi C Berselli

  47. Convergence of approximate deconvolution models to the mean magnetohydrodynamics equations: Analysis of two models

    Article • Journal of Mathematical Analysis and Applications, May 2013, Elsevier

    Prof. Luigi C Berselli

  48. An elementary proof of uniqueness of particle trajectories for solutions of a class of shear-thinning non-Newtonian 2D fluids

    Article • Nonlinearity, March 2013, Institute of Physics Publishing

    Prof. Luigi C Berselli

  49. Existence and Convergence of an MHD Approximate Deconvolution Model

    Article • ESAIM Proceedings, March 2013, EDP Sciences

    Prof. Luigi C Berselli

  50. Exact solution to the inverse Womersley problem for pulsatile flows in cylindrical vessels, with application to magnetic particle targeting

    Article • Applied Mathematics and Computation, January 2013, Elsevier

    Prof. Luigi C Berselli

  51. On the Vanishing Viscosity Limit of 3D Navier-Stokes Equations under Slip Boundary Conditions in General Domains

    Article • Communications in Mathematical Physics, October 2012, Springer Science + Business Media

    Prof. Luigi C Berselli

  52. Convergence of approximate deconvolution models to the mean Navier–Stokes equations

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, March 2012, Elsevier

    Prof. Luigi C Berselli

  53. Analysis of a Large Eddy Simulation model based on anisotropic filtering

    Article • Journal of Mathematical Analysis and Applications, February 2012, Elsevier

    Prof. Luigi C Berselli

  54. On the Finite Element Approximation ofp-Stokes Systems

    Article • SIAM Journal on Numerical Analysis, January 2012, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Luigi C Berselli

  55. On the structural stability of the Euler–Voigt and Navier–Stokes–Voigt models

    Article • Nonlinear Analysis, January 2012, Elsevier

    Prof. Luigi C Berselli

  56. Horizontal Large Eddy Simulation of Stratified Mixing in a Lock-Exchange System

    Article • Journal of Scientific Computing, January 2011, Springer Science + Business Media

    Prof. Luigi C Berselli

  57. Horizontal Approximate Deconvolution for Stratified Flows: Analysis and Computations

    Article • January 2011, Springer Science + Business Media

    Prof. Luigi C Berselli

  58. On the Boussinesq system: regularity criteria and singular limits

    Article • Methods and Applications of Analysis, January 2011, International Press of Boston

    Prof. Luigi C Berselli

  59. An elementary approach to the 3D Navier-Stokes equations with Navier boundary conditions: Existence and uniqueness of various classes of solutions in the flat boundary case.

    Article • Discrete and Continuous Dynamical Systems - S, April 2010, American Institute of Mathematical Sciences (AIMS)

    Prof. Luigi C Berselli

  60. Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier–Stokes equations

    Article • ANNALI DELL UNIVERSITA DI FERRARA, September 2009, Springer Science + Business Media

    Prof. Luigi C Berselli

  61. Some geometric constraints and the problem of global regularity for the Navier–Stokes equations

    Article • Nonlinearity, September 2009, Institute of Physics Publishing

    Prof. Luigi C Berselli

  62. On the regularity of the solutions to the 3D Navier–Stokes equations: a remark on the role of the helicity

    Article • Comptes Rendus Mathématique, June 2009, Elsevier

    Prof. Luigi C Berselli

  63. On a Stochastic Approach to Eddy Viscosity Models for Turbulent Flows

    Article • January 2009, Springer Science + Business Media

    Prof. Luigi C Berselli

  64. Navier–Stokes equations: Green's matrices, vorticity direction, and regularity up to the boundary

    Article • Journal of Differential Equations, January 2009, Elsevier

    Prof. Luigi C Berselli

  65. Optimal Error Estimates for a Semi-Implicit Euler Scheme for Incompressible Fluids with Shear Dependent Viscosities

    Article • SIAM Journal on Numerical Analysis, January 2009, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Luigi C Berselli

  66. Existence of Strong Solutions for Incompressible Fluids with Shear Dependent Viscosities

    Article • Journal of Mathematical Fluid Mechanics, September 2008, Springer Science + Business Media

    Prof. Luigi C Berselli

  67. On the W2,q-Regularity of Incompressible Fluids with Shear-Dependent Viscosities: The Shear-Thinning Case

    Article • Journal of Mathematical Fluid Mechanics, March 2008, Springer Science + Business Media

    Prof. Luigi C Berselli

  68. Analysis of commutation errors for functions with low regularity

    Article • Journal of Computational and Applied Mathematics, September 2007, Elsevier

    Prof. Luigi C Berselli

  69. Analytical and Numerical Results for the Rational Large Eddy Simulation Model

    Article • Journal of Mathematical Fluid Mechanics, December 2006, Springer Science + Business Media

    Prof. Luigi C Berselli

  70. On the Global Evolution of Vortex Filaments, Blobs, and Small Loops in 3D Ideal Flows

    Article • Communications in Mathematical Physics, November 2006, Springer Science + Business Media

    Prof. Luigi C Berselli

  71. On the Existence and Uniqueness of Weak Solutions for a Vorticity Seeding Model

    Article • SIAM Journal on Mathematical Analysis, January 2006, Society for Industrial & Applied Mathematics (SIAM)

    Marco Romito, Prof. Luigi C Berselli

  72. Asymptotic behaviour of commutation errors and the divergence of the Reynolds stress tensor near the wall in the turbulent channel flow

    Article • Mathematical Methods in the Applied Sciences, January 2006, Wiley

    Prof. Luigi C Berselli

  73. Mathematics of Large Eddy Simulation of Turbulent Flows

    Article • January 2006, Springer Science + Business Media

    Prof. Luigi C Berselli

  74. Corrigendum: On the space–time regularity of C(0,T;Ln)—very weak solutions to the Navier–Stokes equations

    Article • Nonlinear Analysis, November 2005, Elsevier

    Prof. Luigi C Berselli

  75. On the Large Eddy Simulation of the Taylor–Green vortex

    Article • Journal of Mathematical Fluid Mechanics, May 2005, Springer Science + Business Media

    Prof. Luigi C Berselli

  76. On the space–time regularity of C(0,T;Ln)-very weak solutions to the Navier–Stokes equations

    Article • Nonlinear Analysis, August 2004, Elsevier

    Prof. Luigi C Berselli

  77. On a theorem by Sohr for the Navier-Stokes equations

    Article • Journal of Evolution Equations, May 2004, Springer Science + Business Media

    Prof. Luigi C Berselli

  78. On the consistency of the Rational Large Eddy Simulation model

    Article • Computing and Visualization in Science, March 2004, Springer Science + Business Media

    Prof. Luigi C Berselli

  79. A higher-order subfilter-scale model for large eddy simulation

    Article • Journal of Computational and Applied Mathematics, October 2003, Elsevier

    Prof. Luigi C Berselli

  80. Article • Proceedings of the American Mathematical Society, December 2002, American Mathematical Society (AMS)

    Prof. Luigi C Berselli

  81. Some results for the line vortex equation

    Article • Nonlinearity, September 2002, Institute of Physics Publishing

    Prof. Luigi C Berselli

  82. MATHEMATICAL ANALYSIS FOR THE RATIONAL LARGE EDDY SIMULATION MODEL

    Article • Mathematical Models and Methods in Applied Sciences, August 2002, World Scientific Pub Co Pte Lt

    Prof. Luigi C Berselli

  83. A note on regularity of weak solutions of the Navier-Stokes equations in Rn

    Article • Japanese journal of mathematics, January 2002, Mathematical Society of Japan (JST)

    Prof. Luigi C Berselli

  84. Pointwise Green's function bounds and stability of relaxation shocks

    Article • Indiana University Mathematics Journal, January 2002, Indiana University Mathematics Journal

    Prof. Luigi C Berselli

  85. Vanishing viscosity limits and long-time behavior for 2D quasi-geostrophic equations

    Article • Indiana University Mathematics Journal, January 2002, Indiana University Mathematics Journal

    Prof. Luigi C Berselli

  86. New substructuring domain decomposition methods for advection–diffusion equations

    Article • Journal of Computational and Applied Mathematics, April 2000, Elsevier

    Prof. Luigi C Berselli

  87. Sufficient conditions for the regularity of the solutions of the Navier-Stokes equations

    Article • Mathematical Methods in the Applied Sciences, September 1999, Wiley

    Prof. Luigi C Berselli

  88. Remarks on determining projections for stochastic dissipative equations

    Article • Discrete and Continuous Dynamical Systems, October 1998, American Institute of Mathematical Sciences (AIMS)

    Prof. Luigi C Berselli

  89. Towards fluid equations by approximate deconvolution models

    Article • Cambridge University Press

    Prof. Luigi C Berselli