Edit Profile (opens in new tab) Berselli, Luigi Carlo Co-Author Distance Author ID: berselli.luigi-carlo Published as: Berselli, Luigi C.; Berselli, Luigi Carlo; Berselli, L. C.; Berselli, L. more...less External Links: MGP Documents Indexed: 112 Publications since 1997, including 2 Books and 9 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 60 Co-Authors with 93 Joint Publications 1,421 Co-Co-Authors all top 5 Co-Authors 20 single-authored 15 Růžička, Michael 11 Lewandowski, Roger 11 Spirito, Stefano 8 Iliescu, Traian 5 Catania, Davide 5 Diening, Lars 5 Grisanti, Carlo-Romano 5 Kaltenbach, Alex 3 Bisconti, Luca 3 Chiodaroli, Elisabetta 3 Galdi, Giovanni Paolo 3 Nguyen, Dinh Duong 3 Sannipoli, Rossano 2 Abdelwahed, Mohamed 2 Beirão da Veiga, Hugo 2 Breit, Dominic 2 Chorfi, Nejmeddine 2 Cordoba, Diego 2 Flandoli, Franco 2 Georgiadis, Stefanos 2 John, Volker 2 Layton, William J. 2 Longo, Placido 2 Manfrin, Renato 2 Özgökmen, Tamay M. 2 Romito, Marco 2 Sinibaldi, Edoardo 1 Alonso Rodríguez, Ana 1 Amrouche, Chérif 1 Barbato, David 1 Belenki, Liudmila 1 Benci, Vieri 1 Bessaih, Hakima 1 Buckmaster, Tristan 1 Čanić, Sunčica 1 Cerminara, Matteo 1 Constantin, Peter 1 Crispo, Francesca 1 Dias, João-Paulo 1 Dunca, Argus Adrian 1 Fagioli, Simone 1 Falocchi, Alessio 1 Fan, Jishan 1 Ferreira, Jorge 1 Fischer, Paul F. 1 Granero Belinchón, Rafael 1 Guasoni, Paolo 1 Gubinelli, Massimiliano 1 Guerra, Francesca 1 Kim, Tae-Yeon 1 Kiselev, Alexander A. 1 Koc, Birgul 1 Legeais, François 1 Mazzolai, Barbara 1 Menciassi, Arianna 1 Miloro, Piero 1 Morando, Alessandro 1 Rebholz, Leo Gregory 1 Saleri, Fausto 1 Secchi, Paolo 1 Trebeschi, Paola 1 Tzavaras, Athanasios E. 1 Wells, David R. 1 Xie, Xuping all top 5 Serials 6 Journal of Mathematical Fluid Mechanics 5 Nonlinearity 4 Journal of Mathematical Analysis and Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Discrete and Continuous Dynamical Systems. Series S 4 Advances in Nonlinear Analysis 3 Journal of Computational and Applied Mathematics 3 Journal of Differential Equations 2 Communications in Mathematical Physics 2 IMA Journal of Numerical Analysis 2 Mathematical Methods in the Applied Sciences 2 SIAM Journal on Numerical Analysis 2 Differential and Integral Equations 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 NoDEA. Nonlinear Differential Equations and Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Rivista di Matematica della Università di Parma. New Series 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Computation 1 Indiana University Mathematics Journal 1 Japanese Journal of Mathematics. New Series 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Journal of Scientific Computing 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Rivista di Matematica della Università di Parma. Serie V 1 Computational and Applied Mathematics 1 Journal of Mathematical Sciences. University of Tokyo 1 Methods and Applications of Analysis 1 Opuscula Mathematica 1 Discrete and Continuous Dynamical Systems 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Boletim da Sociedade Paranaense de Matemática. Segunda Série 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Interfaces and Free Boundaries 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 International Journal of Numerical Analysis and Modeling 1 Dynamics of Partial Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Lecture Notes in Mathematics 1 Mathematics in Science and Engineering 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Pure and Applied Functional Analysis 1 AIMS Mathematics 1 Mathematics in Engineering 1 SN Partial Differential Equations and Applications 1 Scientific Computation 1 Advances in Continuous and Discrete Models all top 5 Fields 97 Fluid mechanics (76-XX) 96 Partial differential equations (35-XX) 16 Numerical analysis (65-XX) 3 Operator theory (47-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 1,240 times in 806 Documents Cited by ▼ Year ▼ Mathematics of large eddy simulation of turbulent flows. Zbl 1089.76002 Berselli, L. C.; Iliescu, T.; Layton, W. J. 181 2006 Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations. Zbl 1075.35031 Berselli, Luigi C.; Galdi, Giovanni P. 103 2002 Existence of strong solutions for incompressible fluids with shear-dependent viscosities. Zbl 1261.35118 Berselli, Luigi C.; Diening, Lars; Ružička, Michael 67 2010 On the regularizing effect of the vorticity direction in incompressible viscous flows. Zbl 1014.35072 Beirão da Veiga, Hugo; Berselli, Luigi C. 60 2002 Navier-Stokes equations: Green’s matrices, vorticity direction, and regularity up to the boundary. Zbl 1155.35067 Beirão da Veiga, Hugo; Berselli, Luigi C. 53 2009 On the finite element approximation of p-Stokes systems. Zbl 1426.76221 Belenki, L.; Berselli, L. C.; Diening, L.; Růžička, M. 42 2012 On the vanishing viscosity limit of 3D Navier-Stokes equations under slip boundary conditions in general domains. Zbl 1254.35175 Berselli, Luigi Carlo; Spirito, Stefano 41 2012 Convergence of approximate deconvolution models to the mean Navier-Stokes equations. Zbl 1302.76083 Berselli, Luigi C.; Lewandowski, Roger 34 2012 On the energy equality for the 3D Navier-Stokes equations. Zbl 1437.35526 Berselli, Luigi C.; Chiodaroli, Elisabetta 32 2020 On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models. Zbl 1229.35165 Berselli, Luigi C.; Bisconti, Luca 32 2012 On a regularity criterion for the solutions to the 3D Navier-Stokes equations. Zbl 1034.35087 Berselli, Luigi C. 26 2002 Some geometric constraints and the problem of global regularity for the Navier-Stokes equations. Zbl 1176.35124 Berselli, Luigi C. 23 2009 Local solvability and turning for the inhomogeneous Muskat problem. Zbl 1295.35385 Berselli, Luigi C.; Córdoba, Diego; Granero-Belinchón, Rafael 23 2014 Vanishing viscosity limit and long-time behavior for 2D quasi-geostrophic equations. Zbl 1044.35055 Berselli, Luigi C. 21 2002 On the large eddy simulation of the Taylor-Green vortex. Zbl 1067.76049 Berselli, Luigi C. 21 2005 On the regularity of the solutions to the 3D Navier-Stokes equations: a remark on the role of the helicity. Zbl 1172.35051 Berselli, Luigi C.; Córdoba, Diego 21 2009 Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt approximation. Zbl 1371.35191 Berselli, Luigi C.; Spirito, Stefano 17 2017 Analysis of a reduced-order approximate deconvolution model and its interpretation as a Navier-Stokes-Voigt regularization. Zbl 1346.35157 Berselli, Luigi C.; Kim, Tae-Yeon; Rebholz, Leo G. 17 2016 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. Zbl 1193.35125 Berselli, Luigi C. 16 2010 On the \(W ^{2,q }\)-regularity of incompressible fluids with shear-dependent viscosities: The shear-thinning case. Zbl 1193.76019 Berselli, Luigi C. 16 2009 Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations. Zbl 1205.35186 Berselli, Luigi C. 15 2009 Some results on the Navier-Stokes equations with Navier boundary conditions. Zbl 1221.35272 Berselli, Luigi C. 15 2010 Global regularity properties of steady shear thinning flows. Zbl 1378.35236 Berselli, Luigi C.; Růžička, Michael 14 2017 Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis. Zbl 1434.76027 Amrouche, Cherif; Berselli, Luigi C.; Lewandowski, Roger; Nguyen, Dinh Duong 14 2020 Mathematical analysis for the rational large eddy simulation model. Zbl 1023.76012 Berselli, Luigi C.; Galdi, Giovanni P.; Iliescu, Traian; Layton, William J. 13 2002 Global regularity for systems with \(p\)-structure depending on the symmetric gradient. Zbl 1417.76004 Berselli, Luigi C.; Ružička, Michael 13 2020 Convergence analysis for a finite element approximation of a steady model for electrorheological fluids. Zbl 1457.65180 Berselli, Luigi C.; Breit, Dominic; Diening, Lars 12 2016 On the analysis of a geometrically selective turbulence model. Zbl 1437.35532 Chorfi, Nejmeddine; Abdelwahed, Mohamed; Berselli, Luigi C. 11 2020 Convergence of approximate deconvolution models to the mean magnetohydrodynamics equations: analysis of two models. Zbl 1307.76081 Berselli, Luigi C.; Catania, Davide; Lewandowski, Roger 11 2013 On the Boussinesq system: regularity criteria and singular limits. Zbl 1260.35141 Berselli, Luigi C.; Spirito, Stefano 11 2012 On a theorem by Sohr for the Navier-Stokes equations. Zbl 1058.35054 Berselli, Luigi C.; Manfrin, Renato 9 2004 Analytical and numerical results for the Rational Large Eddy Simulation model. Zbl 1151.76414 Barbato, David; Berselli, Luigi C.; Grisanti, Carlo R. 9 2007 On the existence and uniqueness of weak solutions for a vorticity seeding model. Zbl 1109.35085 Berselli, Luigi C.; Romito, Marco 9 2006 An elementary approach to the inviscid limits for the 3D Navier-Stokes equations with slip boundary conditions and applications to the 3D Boussinesq equations. Zbl 1304.35480 Berselli, Luigi C.; Spirito, Stefano 9 2014 Analysis of commutation errors for functions with low regularity. Zbl 1125.76032 Berselli, Luigi C.; Grisanti, Carlo R.; John, Volker 8 2007 On the well-posedness of the Boussinesq equations with anisotropic filter for turbulent flows. Zbl 1308.76066 Berselli, Luigi C.; Catania, Davide 8 2015 Logarithmic and improved regularity criteria for the 3D nematic liquid crystals models, Boussinesq system, and MHD equations in a bounded domain. Zbl 1314.35079 Berselli, Luigi C.; Fan, Jishan 8 2015 On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093 Berselli, Luigi C.; Flandoli, Franco 8 2010 Analysis of a large eddy simulation model based on anisotropic filtering. Zbl 1245.76034 Berselli, Luigi C. 8 2012 On the Boussinesq equations with anisotropic filter in a vertical pipe. Zbl 1327.76051 Berselli, Luigi C.; Catania, Davide 8 2015 Asymptotic behaviour of commutation errors and the divergence of the Reynolds stress tensor near the wall in the turbulent channel flow. Zbl 1370.76065 Berselli, Luigi C.; John, Volker 7 2006 Energy conservation for weak solutions of incompressible fluid equations: the Hölder case and connections with Onsager’s conjecture. Zbl 1520.35112 Berselli, Luigi C. 7 2023 Three-dimensional Navier-Stokes equations for turbulence. Zbl 1474.76007 Berselli, Luigi C. 7 2021 Sufficient conditions for the regularity of the solutions of the Navier-Stokes equations. Zbl 0940.35159 Berselli, Luigi C. 6 1999 On the Reynolds time-averaged equations and the long-time behavior of Leray-Hopf weak solutions, with applications to ensemble averages. Zbl 1423.76089 Berselli, Luigi C.; Lewandowski, Roger 6 2019 A note on regularity of weak solutions of the Navier-Stokes equations in \(\mathbb{R}^n\). Zbl 1044.35049 Berselli, Luigi C. 6 2002 Some results for the line vortex equation. Zbl 1019.76005 Berselli, Luigi C.; Bessaih, Hakima 6 2002 Optimal error estimates for a semi-implicit Euler scheme for incompressible fluids with shear dependent viscosities. Zbl 1406.76006 Berselli, Luigi C.; Diening, Lars; Růžička, Michael 6 2009 Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids. Zbl 1326.76056 Berselli, Luigi C.; Diening, Lars; Růžička, Michael 6 2015 On the Bardina’s model in the whole space. Zbl 1401.35240 Lewandowski, Roger; Berselli, Luigi C. 6 2018 On the existence of weak solutions for the steady Baldwin-Lomax model and generalizations. Zbl 1486.35342 Berselli, Luigi C.; Breit, Dominic 6 2021 On the space-time regularity of \(C(0,T;L^n)\)-very weak solutions to the Navier-Stokes equations. Zbl 1126.35038 Berselli, Luigi C.; Galdi, Giovanni P. 5 2004 Linear perturbations of the Kirchhoff equation. Zbl 1125.35385 Berselli, Luigi C.; Manfrin, Renato 5 2000 On the global evolution of vortex filaments, blobs, and small loops in 3D ideal flows. Zbl 1116.76017 Berselli, Luigi C.; Gubinelli, Massimiliano 5 2007 Weak solutions to the Navier-Stokes equations constructed by semi-discretization are suitable. Zbl 1349.35268 Berselli, Luigi C.; Spirito, Stefano 5 2016 On Leray’s problem for almost periodic flows. Zbl 1329.35230 Berselli, Luigi C.; Romito, Marco 5 2012 Horizontal large eddy simulation of stratified mixing in a lock-exchange system. Zbl 1432.76119 Berselli, Luigi C.; Fischer, Paul F.; Iliescu, Traian; Özgökmen, Tamay M. 5 2011 Natural second-order regularity for parabolic systems with operators having \((p, \delta)\)-structure and depending only on the symmetric gradient. Zbl 1491.35093 Berselli, Luigi C.; Růžička, Michael 5 2022 On the existence of almost-periodic solutions for the 2D dissipative Euler equations. Zbl 1480.35315 Berselli, Luigi C.; Bisconti, Luca 4 2015 New substructuring domain decomposition methods for advection-diffusion equations. Zbl 0946.65126 Berselli, Luigi C.; Saleri, Fausto 4 2000 Three results on the energy conservation for the 3D Euler equations. Zbl 1536.35237 Berselli, Luigi C.; Georgiadis, Stefanos 4 2024 Classical solutions for the system \(\operatorname{curl} v = g\), with vanishing Dirichlet boundary conditions. Zbl 1409.26007 Berselli, Luigi C.; Longo, Placido 4 2019 Suitable weak solutions of the Navier-Stokes equations constructed by a space-time numerical discretization. Zbl 1414.35143 Berselli, Luigi C.; Fagioli, Simone; Spirito, Stefano 4 2019 Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications. Zbl 1493.47119 Berselli, Luigi C.; Kaltenbach, Alex; Růžička, Michael 4 2021 Space-time discretization for nonlinear parabolic systems with \(p\)-structure. Zbl 07465498 Berselli, Luigi C.; Růžička, Michael 4 2022 On the uniqueness for weak solutions of steady double-phase fluids. Zbl 1484.76003 Abdelwahed, Mohamed; Berselli, Luigi C.; Chorfi, Nejmeddine 3 2022 A higher-order subfilter-scale model for large eddy simulation. Zbl 1107.76332 Berselli, Luigi C.; Iliescu, Traian 3 2003 On the consistency of the rational large eddy simulation model. Zbl 1299.76096 Berselli, Luigi C.; Grisanti, Carlo R. 3 2004 On the construction of suitable weak solutions to the 3D Navier-Stokes equations in a bounded domain by an artificial compressibility method. Zbl 1386.35321 Berselli, Luigi C.; Spirito, Stefano 3 2018 Exact solution to the inverse Womersley problem for pulsatile flows in cylindrical vessels, with application to magnetic particle targeting. Zbl 1426.76100 Berselli, Luigi C.; Miloro, Piero; Menciassi, Arianna; Sinibaldi, Edoardo 3 2013 On the regularity up to the boundary for certain nonlinear elliptic systems. Zbl 1335.35058 Berselli, Luigi C.; Grisanti, Carlo R. 3 2016 Pulsatile viscous flows in elliptical vessels and annuli: solution to the inverse problem, with application to blood and cerebrospinal fluid flow. Zbl 1391.76884 Berselli, Luigi C.; Guerra, Francesca; Mazzolai, Barbara; Sinibaldi, Edoardo 3 2014 Some problems of shape optimization arising in stationary fluid motion. Zbl 1058.49033 Berselli, Luigi C.; Guasoni, Paolo 2 2004 Classical solutions of the divergence equation with Dini continuous data. Zbl 1439.35127 Berselli, Luigi C.; Longo, Placido 2 2020 A note on the Euler-Voigt system in a 3D bounded domain: propagation of singularities and absence of the boundary layer. Zbl 1427.35197 Berselli, Luigi C.; Catania, Davide 2 2019 On the magnetohydrodynamic type equations in a new class of non-cylindrical domains. Zbl 0942.76087 Berselli, Luigi C.; Ferreira, Jorge 2 1999 An elementary proof of uniqueness of particle trajectories for solutions of a class of shear-thinning non-Newtonian 2D fluids. Zbl 1310.76003 Berselli, Luigi C.; Bisconti, Luca 2 2013 Weak solutions constructed by semi-discretization are suitable: the case of slip boundary conditions. Zbl 1398.35144 Berselli, Luigi C. 2 2018 On the existence of weak solutions for an unsteady rotational Smagorinsky model. Zbl 1507.35164 Berselli, Luigi C.; Kaltenbach, Alex; Růžička, M.; Lewandowski, Roger 2 2023 The Caccioppoli ultrafunctions. Zbl 1434.46024 Benci, Vieri; Berselli, Luigi Carlo; Grisanti, Carlo Romano 2 2019 Modeling error of \(\alpha\)-models of turbulence on a two-dimensional torus. Zbl 1473.35395 Berselli, Luigi C.; Dunca, Argus Adrian; Lewandowski, Roger; Nguyen, Dinh Duong 2 2021 Remarks on determining projections for stochastic dissipative equations. Zbl 0952.35165 Berselli, Luigi C.; Flandoli, Franco 1 1999 Remarks on the energy equality for the 3D Navier-Stokes equations. Zbl 1485.35317 Berselli, Luigi Carlo; Chiodaroli, Elisabetta 1 2021 Horizontal approximate deconvolution for stratified flows: analysis and computations. Zbl 1303.76022 Berselli, Luigi C.; Iliescu, Traian; Özgökmen, Tamay 1 2011 On the regularity of solution to the time-dependent \(p\)-Stokes system. Zbl 1434.76024 Berselli, Luigi C.; Růžička, Michael 1 2020 Towards fluid equations by approximate deconvolution models. Zbl 1296.35116 Berselli, Luigi C. 1 2012 On the vorticity direction and the regularity of 3D Navier-Stokes equations. Zbl 1523.35238 Berselli, Luigi C. 1 2023 Progress in mathematical fluid dynamics. Cetraro, Italy, June 17–21, 2019. Lecture notes given at the summer school. Zbl 1448.76006 1 2020 Surface boundary layers through a scalar equation with an eddy viscosity vanishing at the ground. Zbl 1536.35238 Berselli, Luigi C.; Legeais, François; Lewandowski, Roger 1 2024 Rotational forms of large eddy simulation turbulence models: modeling and mathematical theory. Zbl 1462.76117 Berselli, Luigi C.; Lewandowski, Roger; Nguyen, Dinh Duong 1 2021 Velocity-vorticity geometric constraints for the energy conservation of 3D ideal incompressible fluids. Zbl 1543.35140 Berselli, Luigi C.; Sannipoli, Rossano 1 2024 Three results on the energy conservation for the 3D Euler equations. Zbl 1536.35237 Berselli, Luigi C.; Georgiadis, Stefanos 4 2024 Surface boundary layers through a scalar equation with an eddy viscosity vanishing at the ground. Zbl 1536.35238 Berselli, Luigi C.; Legeais, François; Lewandowski, Roger 1 2024 Velocity-vorticity geometric constraints for the energy conservation of 3D ideal incompressible fluids. Zbl 1543.35140 Berselli, Luigi C.; Sannipoli, Rossano 1 2024 Energy conservation for weak solutions of incompressible fluid equations: the Hölder case and connections with Onsager’s conjecture. Zbl 1520.35112 Berselli, Luigi C. 7 2023 On the existence of weak solutions for an unsteady rotational Smagorinsky model. Zbl 1507.35164 Berselli, Luigi C.; Kaltenbach, Alex; Růžička, M.; Lewandowski, Roger 2 2023 On the vorticity direction and the regularity of 3D Navier-Stokes equations. Zbl 1523.35238 Berselli, Luigi C. 1 2023 Natural second-order regularity for parabolic systems with operators having \((p, \delta)\)-structure and depending only on the symmetric gradient. Zbl 1491.35093 Berselli, Luigi C.; Růžička, Michael 5 2022 Space-time discretization for nonlinear parabolic systems with \(p\)-structure. Zbl 07465498 Berselli, Luigi C.; Růžička, Michael 4 2022 On the uniqueness for weak solutions of steady double-phase fluids. Zbl 1484.76003 Abdelwahed, Mohamed; Berselli, Luigi C.; Chorfi, Nejmeddine 3 2022 Three-dimensional Navier-Stokes equations for turbulence. Zbl 1474.76007 Berselli, Luigi C. 7 2021 On the existence of weak solutions for the steady Baldwin-Lomax model and generalizations. Zbl 1486.35342 Berselli, Luigi C.; Breit, Dominic 6 2021 Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications. Zbl 1493.47119 Berselli, Luigi C.; Kaltenbach, Alex; Růžička, Michael 4 2021 Modeling error of \(\alpha\)-models of turbulence on a two-dimensional torus. Zbl 1473.35395 Berselli, Luigi C.; Dunca, Argus Adrian; Lewandowski, Roger; Nguyen, Dinh Duong 2 2021 Remarks on the energy equality for the 3D Navier-Stokes equations. Zbl 1485.35317 Berselli, Luigi Carlo; Chiodaroli, Elisabetta 1 2021 Rotational forms of large eddy simulation turbulence models: modeling and mathematical theory. Zbl 1462.76117 Berselli, Luigi C.; Lewandowski, Roger; Nguyen, Dinh Duong 1 2021 On the energy equality for the 3D Navier-Stokes equations. Zbl 1437.35526 Berselli, Luigi C.; Chiodaroli, Elisabetta 32 2020 Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis. Zbl 1434.76027 Amrouche, Cherif; Berselli, Luigi C.; Lewandowski, Roger; Nguyen, Dinh Duong 14 2020 Global regularity for systems with \(p\)-structure depending on the symmetric gradient. Zbl 1417.76004 Berselli, Luigi C.; Ružička, Michael 13 2020 On the analysis of a geometrically selective turbulence model. Zbl 1437.35532 Chorfi, Nejmeddine; Abdelwahed, Mohamed; Berselli, Luigi C. 11 2020 Classical solutions of the divergence equation with Dini continuous data. Zbl 1439.35127 Berselli, Luigi C.; Longo, Placido 2 2020 On the regularity of solution to the time-dependent \(p\)-Stokes system. Zbl 1434.76024 Berselli, Luigi C.; Růžička, Michael 1 2020 Progress in mathematical fluid dynamics. Cetraro, Italy, June 17–21, 2019. Lecture notes given at the summer school. Zbl 1448.76006 1 2020 On the Reynolds time-averaged equations and the long-time behavior of Leray-Hopf weak solutions, with applications to ensemble averages. Zbl 1423.76089 Berselli, Luigi C.; Lewandowski, Roger 6 2019 Classical solutions for the system \(\operatorname{curl} v = g\), with vanishing Dirichlet boundary conditions. Zbl 1409.26007 Berselli, Luigi C.; Longo, Placido 4 2019 Suitable weak solutions of the Navier-Stokes equations constructed by a space-time numerical discretization. Zbl 1414.35143 Berselli, Luigi C.; Fagioli, Simone; Spirito, Stefano 4 2019 A note on the Euler-Voigt system in a 3D bounded domain: propagation of singularities and absence of the boundary layer. Zbl 1427.35197 Berselli, Luigi C.; Catania, Davide 2 2019 The Caccioppoli ultrafunctions. Zbl 1434.46024 Benci, Vieri; Berselli, Luigi Carlo; Grisanti, Carlo Romano 2 2019 On the Bardina’s model in the whole space. Zbl 1401.35240 Lewandowski, Roger; Berselli, Luigi C. 6 2018 On the construction of suitable weak solutions to the 3D Navier-Stokes equations in a bounded domain by an artificial compressibility method. Zbl 1386.35321 Berselli, Luigi C.; Spirito, Stefano 3 2018 Weak solutions constructed by semi-discretization are suitable: the case of slip boundary conditions. Zbl 1398.35144 Berselli, Luigi C. 2 2018 Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt approximation. Zbl 1371.35191 Berselli, Luigi C.; Spirito, Stefano 17 2017 Global regularity properties of steady shear thinning flows. Zbl 1378.35236 Berselli, Luigi C.; Růžička, Michael 14 2017 Analysis of a reduced-order approximate deconvolution model and its interpretation as a Navier-Stokes-Voigt regularization. Zbl 1346.35157 Berselli, Luigi C.; Kim, Tae-Yeon; Rebholz, Leo G. 17 2016 Convergence analysis for a finite element approximation of a steady model for electrorheological fluids. Zbl 1457.65180 Berselli, Luigi C.; Breit, Dominic; Diening, Lars 12 2016 Weak solutions to the Navier-Stokes equations constructed by semi-discretization are suitable. Zbl 1349.35268 Berselli, Luigi C.; Spirito, Stefano 5 2016 On the regularity up to the boundary for certain nonlinear elliptic systems. Zbl 1335.35058 Berselli, Luigi C.; Grisanti, Carlo R. 3 2016 On the well-posedness of the Boussinesq equations with anisotropic filter for turbulent flows. Zbl 1308.76066 Berselli, Luigi C.; Catania, Davide 8 2015 Logarithmic and improved regularity criteria for the 3D nematic liquid crystals models, Boussinesq system, and MHD equations in a bounded domain. Zbl 1314.35079 Berselli, Luigi C.; Fan, Jishan 8 2015 On the Boussinesq equations with anisotropic filter in a vertical pipe. Zbl 1327.76051 Berselli, Luigi C.; Catania, Davide 8 2015 Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids. Zbl 1326.76056 Berselli, Luigi C.; Diening, Lars; Růžička, Michael 6 2015 On the existence of almost-periodic solutions for the 2D dissipative Euler equations. Zbl 1480.35315 Berselli, Luigi C.; Bisconti, Luca 4 2015 Local solvability and turning for the inhomogeneous Muskat problem. Zbl 1295.35385 Berselli, Luigi C.; Córdoba, Diego; Granero-Belinchón, Rafael 23 2014 An elementary approach to the inviscid limits for the 3D Navier-Stokes equations with slip boundary conditions and applications to the 3D Boussinesq equations. Zbl 1304.35480 Berselli, Luigi C.; Spirito, Stefano 9 2014 Pulsatile viscous flows in elliptical vessels and annuli: solution to the inverse problem, with application to blood and cerebrospinal fluid flow. Zbl 1391.76884 Berselli, Luigi C.; Guerra, Francesca; Mazzolai, Barbara; Sinibaldi, Edoardo 3 2014 Convergence of approximate deconvolution models to the mean magnetohydrodynamics equations: analysis of two models. Zbl 1307.76081 Berselli, Luigi C.; Catania, Davide; Lewandowski, Roger 11 2013 Exact solution to the inverse Womersley problem for pulsatile flows in cylindrical vessels, with application to magnetic particle targeting. Zbl 1426.76100 Berselli, Luigi C.; Miloro, Piero; Menciassi, Arianna; Sinibaldi, Edoardo 3 2013 An elementary proof of uniqueness of particle trajectories for solutions of a class of shear-thinning non-Newtonian 2D fluids. Zbl 1310.76003 Berselli, Luigi C.; Bisconti, Luca 2 2013 On the finite element approximation of p-Stokes systems. Zbl 1426.76221 Belenki, L.; Berselli, L. C.; Diening, L.; Růžička, M. 42 2012 On the vanishing viscosity limit of 3D Navier-Stokes equations under slip boundary conditions in general domains. Zbl 1254.35175 Berselli, Luigi Carlo; Spirito, Stefano 41 2012 Convergence of approximate deconvolution models to the mean Navier-Stokes equations. Zbl 1302.76083 Berselli, Luigi C.; Lewandowski, Roger 34 2012 On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models. Zbl 1229.35165 Berselli, Luigi C.; Bisconti, Luca 32 2012 On the Boussinesq system: regularity criteria and singular limits. Zbl 1260.35141 Berselli, Luigi C.; Spirito, Stefano 11 2012 Analysis of a large eddy simulation model based on anisotropic filtering. Zbl 1245.76034 Berselli, Luigi C. 8 2012 On Leray’s problem for almost periodic flows. Zbl 1329.35230 Berselli, Luigi C.; Romito, Marco 5 2012 Towards fluid equations by approximate deconvolution models. Zbl 1296.35116 Berselli, Luigi C. 1 2012 Horizontal large eddy simulation of stratified mixing in a lock-exchange system. Zbl 1432.76119 Berselli, Luigi C.; Fischer, Paul F.; Iliescu, Traian; Özgökmen, Tamay M. 5 2011 Horizontal approximate deconvolution for stratified flows: analysis and computations. Zbl 1303.76022 Berselli, Luigi C.; Iliescu, Traian; Özgökmen, Tamay 1 2011 Existence of strong solutions for incompressible fluids with shear-dependent viscosities. Zbl 1261.35118 Berselli, Luigi C.; Diening, Lars; Ružička, Michael 67 2010 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. Zbl 1193.35125 Berselli, Luigi C. 16 2010 Some results on the Navier-Stokes equations with Navier boundary conditions. Zbl 1221.35272 Berselli, Luigi C. 15 2010 On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093 Berselli, Luigi C.; Flandoli, Franco 8 2010 Navier-Stokes equations: Green’s matrices, vorticity direction, and regularity up to the boundary. Zbl 1155.35067 Beirão da Veiga, Hugo; Berselli, Luigi C. 53 2009 Some geometric constraints and the problem of global regularity for the Navier-Stokes equations. Zbl 1176.35124 Berselli, Luigi C. 23 2009 On the regularity of the solutions to the 3D Navier-Stokes equations: a remark on the role of the helicity. Zbl 1172.35051 Berselli, Luigi C.; Córdoba, Diego 21 2009 On the \(W ^{2,q }\)-regularity of incompressible fluids with shear-dependent viscosities: The shear-thinning case. Zbl 1193.76019 Berselli, Luigi C. 16 2009 Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations. Zbl 1205.35186 Berselli, Luigi C. 15 2009 Optimal error estimates for a semi-implicit Euler scheme for incompressible fluids with shear dependent viscosities. Zbl 1406.76006 Berselli, Luigi C.; Diening, Lars; Růžička, Michael 6 2009 Analytical and numerical results for the Rational Large Eddy Simulation model. Zbl 1151.76414 Barbato, David; Berselli, Luigi C.; Grisanti, Carlo R. 9 2007 Analysis of commutation errors for functions with low regularity. Zbl 1125.76032 Berselli, Luigi C.; Grisanti, Carlo R.; John, Volker 8 2007 On the global evolution of vortex filaments, blobs, and small loops in 3D ideal flows. Zbl 1116.76017 Berselli, Luigi C.; Gubinelli, Massimiliano 5 2007 Mathematics of large eddy simulation of turbulent flows. Zbl 1089.76002 Berselli, L. C.; Iliescu, T.; Layton, W. J. 181 2006 On the existence and uniqueness of weak solutions for a vorticity seeding model. Zbl 1109.35085 Berselli, Luigi C.; Romito, Marco 9 2006 Asymptotic behaviour of commutation errors and the divergence of the Reynolds stress tensor near the wall in the turbulent channel flow. Zbl 1370.76065 Berselli, Luigi C.; John, Volker 7 2006 On the large eddy simulation of the Taylor-Green vortex. Zbl 1067.76049 Berselli, Luigi C. 21 2005 On a theorem by Sohr for the Navier-Stokes equations. Zbl 1058.35054 Berselli, Luigi C.; Manfrin, Renato 9 2004 On the space-time regularity of \(C(0,T;L^n)\)-very weak solutions to the Navier-Stokes equations. Zbl 1126.35038 Berselli, Luigi C.; Galdi, Giovanni P. 5 2004 On the consistency of the rational large eddy simulation model. Zbl 1299.76096 Berselli, Luigi C.; Grisanti, Carlo R. 3 2004 Some problems of shape optimization arising in stationary fluid motion. Zbl 1058.49033 Berselli, Luigi C.; Guasoni, Paolo 2 2004 A higher-order subfilter-scale model for large eddy simulation. Zbl 1107.76332 Berselli, Luigi C.; Iliescu, Traian 3 2003 Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations. Zbl 1075.35031 Berselli, Luigi C.; Galdi, Giovanni P. 103 2002 On the regularizing effect of the vorticity direction in incompressible viscous flows. Zbl 1014.35072 Beirão da Veiga, Hugo; Berselli, Luigi C. 60 2002 On a regularity criterion for the solutions to the 3D Navier-Stokes equations. Zbl 1034.35087 Berselli, Luigi C. 26 2002 Vanishing viscosity limit and long-time behavior for 2D quasi-geostrophic equations. Zbl 1044.35055 Berselli, Luigi C. 21 2002 Mathematical analysis for the rational large eddy simulation model. Zbl 1023.76012 Berselli, Luigi C.; Galdi, Giovanni P.; Iliescu, Traian; Layton, William J. 13 2002 A note on regularity of weak solutions of the Navier-Stokes equations in \(\mathbb{R}^n\). Zbl 1044.35049 Berselli, Luigi C. 6 2002 Some results for the line vortex equation. Zbl 1019.76005 Berselli, Luigi C.; Bessaih, Hakima 6 2002 Linear perturbations of the Kirchhoff equation. Zbl 1125.35385 Berselli, Luigi C.; Manfrin, Renato 5 2000 New substructuring domain decomposition methods for advection-diffusion equations. Zbl 0946.65126 Berselli, Luigi C.; Saleri, Fausto 4 2000 Sufficient conditions for the regularity of the solutions of the Navier-Stokes equations. Zbl 0940.35159 Berselli, Luigi C. 6 1999 On the magnetohydrodynamic type equations in a new class of non-cylindrical domains. Zbl 0942.76087 Berselli, Luigi C.; Ferreira, Jorge 2 1999 Remarks on determining projections for stochastic dissipative equations. Zbl 0952.35165 Berselli, Luigi C.; Flandoli, Franco 1 1999 all cited Publications top 5 cited Publications all top 5 Cited by 853 Authors 54 Berselli, Luigi Carlo 23 Beirão da Veiga, Hugo 23 Rebholz, Leo Gregory 21 Layton, William J. 20 Růžička, Michael 19 Iliescu, Traian 19 Neda, Monika 16 Bisconti, Luca 15 Fan, Jishan 15 Lewandowski, Roger 13 Gala, Sadek 13 San, Omer 13 Yang, Jiaqi 12 Catania, Davide 11 Sin, Cholmin 11 Wang, Yanqing 10 Dunca, Argus Adrian 10 Liu, Qiao 10 Titi, Edriss Saleh 10 Ye, Yulin 10 Zhou, Yong 9 Granero Belinchón, Rafael 9 Kukavica, Igor 9 Ragusa, Maria Alessandra 8 Chae, Dongho 8 John, Volker 8 Kaltenbach, Alex 8 Kang, Kyungkeun 8 Kim, Jaemyoung 8 Manica, Carolina Cardoso 8 Spirito, Stefano 8 Trenchea, Catalin 8 Wang, Zhu 7 Constantin, Peter 7 Crispo, Francesca 7 Diening, Lars 7 Gazzola, Filippo 7 Grujić, Zoran 7 Matioc, Bogdan-Vasile 7 Maulik, Romit 7 Xiao, Yuelong 6 Bae, Hyeong-Ohk 6 Kim, Tae-Yeon 6 Süli, Endre E. 6 Yu, Xinwei 6 Zhang, Zujin 6 Ziane, Mohammed 5 Abdelwahed, Mohamed 5 Amrouche, Chérif 5 Baranovskiĭ, Evgeniĭ Sergeevich 5 Bessaih, Hakima 5 Borggaard, Jeff T. 5 Chacón Rebollo, Tomás 5 Denaro, Filippo Maria 5 Falocchi, Alessio 5 Flandoli, Franco 5 Fujimoto, Kōdai 5 Guo, Zhengguang 5 Jin, Bumja 5 Lee, Jihoon 5 Li, Fucai 5 Mariano, Paolo Maria 5 Neustupa, Jiří 5 Penel, Patrick 5 Rojas-Medar, Marko Antonio 5 Turbin, Mikhail V. 5 Wei, Wei 5 Wu, Fan 5 Xin, Zhouping 5 Zhang, Zhipeng 5 Zhong, Xin 4 Ahlkrona, Josefin 4 Breit, Dominic 4 Chorfi, Nejmeddine 4 Cordoba, Diego 4 Dong, Boqing 4 Grisanti, Carlo-Romano 4 Jia, Yan 4 Jiang, Nan 4 Kaya, Songul 4 Kindl, Adela 4 Labovsky, Alexander E. 4 Larios, Adam 4 Nakamura, Gen 4 Pakzad, Ali 4 Rogava, Jemal L. 4 Rozza, Gianluigi 4 Skalák, Zdeněk 4 Takhirov, Aziz 4 Tran, Chuong V. 3 Bae, Hantaek 3 Barker, Tobias 3 Cao, Chongsheng 3 Chen, Qionglei 3 Chiodaroli, Elisabetta 3 Connors, Jeffrey Mark 3 Evans, John A. 3 Farhat, Aseel 3 Farrell, Patrick E. 3 Farwig, Reinhard ...and 753 more Authors all top 5 Cited in 198 Serials 45 Journal of Mathematical Fluid Mechanics 37 Journal of Mathematical Analysis and Applications 28 Journal of Differential Equations 27 Mathematical Methods in the Applied Sciences 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Applied Mathematics Letters 18 Computer Methods in Applied Mechanics and Engineering 15 Nonlinear Analysis. Real World Applications 14 Journal of Computational Physics 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Computers & Mathematics with Applications 13 Communications in Mathematical Physics 13 Nonlinearity 12 Applied Mathematics and Computation 11 Numerical Methods for Partial Differential Equations 10 Archive for Rational Mechanics and Analysis 10 Journal of Mathematical Physics 10 Journal of Computational and Applied Mathematics 10 SIAM Journal on Numerical Analysis 10 Chinese Annals of Mathematics. Series B 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Proceedings of the American Mathematical Society 9 Journal of Scientific Computing 9 Boundary Value Problems 8 Physica D 8 Journal of Nonlinear Science 8 Discrete and Continuous Dynamical Systems. Series B 8 Discrete and Continuous Dynamical Systems. Series S 8 Advances in Nonlinear Analysis 7 Journal of Fluid Mechanics 7 Acta Applicandae Mathematicae 7 Calculus of Variations and Partial Differential Equations 7 NoDEA. Nonlinear Differential Equations and Applications 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 6 Computers and Fluids 6 Applied Mathematics and Optimization 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Discrete and Continuous Dynamical Systems 6 International Journal of Computational Fluid Dynamics 5 Applicable Analysis 5 Journal of Statistical Physics 5 Mathematics of Computation 5 Numerische Mathematik 5 Applications of Mathematics 5 Acta Mathematica Scientia. Series B. (English Edition) 5 AIMS Mathematics 4 Advances in Mathematics 4 Applied Numerical Mathematics 4 The Journal of Geometric Analysis 4 International Journal of Computer Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Evolution Equations 4 Communications on Pure and Applied Analysis 4 S\(\vec{\text{e}}\)MA Journal 4 Evolution Equations and Control Theory 3 International Journal for Numerical Methods in Fluids 3 Journal of Functional Analysis 3 Mathematische Annalen 3 Mathematische Nachrichten 3 Rendiconti del Seminario Matematico della Università di Padova 3 Transactions of the American Mathematical Society 3 Asymptotic Analysis 3 Applied Mathematical Modelling 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 Abstract and Applied Analysis 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Journal of Turbulence 3 Computational Methods in Applied Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Numerical Mathematics 3 Advances in Mathematical Physics 3 SN Partial Differential Equations and Applications 3 Results in Applied Mathematics 2 Physica A 2 Rocky Mountain Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Polonici Mathematici 2 Archiv der Mathematik 2 Quarterly of Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Acta Mathematicae Applicatae Sinica. English Series 2 Revista Matemática Iberoamericana 2 Mathematical and Computer Modelling 2 Communications in Partial Differential Equations 2 Journal of Dynamics and Differential Equations 2 SIAM Journal on Scientific Computing 2 Physics of Fluids 2 Advances in Computational Mathematics 2 Mathematical Physics, Analysis and Geometry 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Communications in Contemporary Mathematics 2 Archives of Computational Methods in Engineering 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Milan Journal of Mathematics 2 International Journal of Numerical Analysis and Modeling 2 Frontiers of Mathematics in China ...and 98 more Serials all top 5 Cited in 35 Fields 667 Fluid mechanics (76-XX) 608 Partial differential equations (35-XX) 143 Numerical analysis (65-XX) 24 Geophysics (86-XX) 17 Real functions (26-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Probability theory and stochastic processes (60-XX) 14 Mechanics of deformable solids (74-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Functional analysis (46-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 7 Ordinary differential equations (34-XX) 6 Optics, electromagnetic theory (78-XX) 5 Operator theory (47-XX) 3 Approximations and expansions (41-XX) 3 Computer science (68-XX) 3 Quantum theory (81-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year