Edit Profile (opens in new tab) Berselli, Luigi Carlo Compute Distance To: Compute Author ID: berselli.luigi-carlo Published as: Berselli, Luigi C.; Berselli, Luigi Carlo; Berselli, L. C.; Berselli, L. External Links: MGP Documents Indexed: 92 Publications since 1997, including 2 Books 2 Contributions as Editor Co-Authors: 50 Co-Authors with 75 Joint Publications 1,163 Co-Co-Authors all top 5 Co-Authors 17 single-authored 11 Růžička, Michael 9 Spirito, Stefano 8 Lewandowski, Roger 5 Catania, Davide 5 Diening, Lars 5 Grisanti, Carlo-Romano 5 Iliescu, Traian 3 Bisconti, Luca 3 Galdi, Giovanni Paolo 3 Nguyen, Dinh Duong 2 Abdelwahed, Mohamed 2 Beirão da Veiga, Hugo 2 Breit, Dominic 2 Chiodaroli, Elisabetta 2 Chorfi, Nejmeddine 2 Cordoba, Diego 2 Flandoli, Franco 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 Constantin, Peter 1 Crispo, Francesca 1 Dias, João-Paulo 1 Dunca, Argus Adrian 1 Fagioli, Simone 1 Fan, Jishan 1 Fischer, Paul F. 1 Granero Belinchón, Rafael 1 Guasoni, Paolo 1 Gubinelli, Massimiliano 1 Guerra, Francesca 1 Kaltenbach, Alex 1 Kim, Tae-Yeon 1 Kiselev, Alexander A. 1 Mazzolai, Barbara 1 Menciassi, Arianna 1 Miloro, Piero 1 Morando, Alessandro 1 Rebholz, Leo G. 1 Saleri, Fausto 1 Sequeira, Adélia 1 Trebeschi, Paola all top 5 Serials 6 Journal of Mathematical Fluid Mechanics 4 Journal of Mathematical Analysis and Applications 4 Nonlinearity 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 2 Communications in Mathematical Physics 2 IMA Journal of Numerical Analysis 2 Mathematical Methods in the Applied Sciences 2 Journal of Differential Equations 2 SIAM Journal on Numerical Analysis 2 Differential and Integral Equations 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 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 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 Rivista di Matematica della Università di Parma. Serie V 1 Computational and Applied Mathematics 1 Journal of Mathematical Sciences. University of Tokyo 1 NoDEA. Nonlinear Differential Equations and Applications 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 Lecture Notes in Mathematics 1 Mathematics in Science and Engineering 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 AIMS Mathematics 1 SN Partial Differential Equations and Applications 1 Scientific Computation all top 5 Fields 83 Fluid mechanics (76-XX) 77 Partial differential equations (35-XX) 12 Numerical analysis (65-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 Operator theory (47-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 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 821 times in 550 Documents Cited by ▼ Year ▼ Mathematics of large eddy simulation of turbulent flows. Zbl 1089.76002Berselli, L. C.; Iliescu, T.; Layton, W. J. 139 2006 Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations. Zbl 1075.35031Berselli, Luigi C.; Galdi, Giovanni P. 82 2002 On the regularizing effect of the vorticity direction in incompressible viscous flows. Zbl 1014.35072Beirão da Veiga, Hugo; Berselli, Luigi C. 47 2002 Existence of strong solutions for incompressible fluids with shear-dependent viscosities. Zbl 1261.35118Berselli, Luigi C.; Diening, Lars; Ružička, Michael 41 2010 Navier-Stokes equations: Green’s matrices, vorticity direction, and regularity up to the boundary. Zbl 1155.35067Beirão da Veiga, Hugo; Berselli, Luigi C. 39 2009 Convergence of approximate deconvolution models to the mean Navier-Stokes equations. Zbl 1302.76083Berselli, Luigi C.; Lewandowski, Roger 26 2012 On the vanishing viscosity limit of 3D Navier-Stokes equations under slip boundary conditions in general domains. Zbl 1254.35175Berselli, Luigi Carlo; Spirito, Stefano 26 2012 On the finite element approximation of p-Stokes systems. Zbl 1426.76221Belenki, L.; Berselli, L. C.; Diening, L.; Růžička, M. 23 2012 On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models. Zbl 1229.35165Berselli, Luigi C.; Bisconti, Luca 21 2012 Local solvability and turning for the inhomogeneous Muskat problem. Zbl 1295.35385Berselli, Luigi C.; Córdoba, Diego; Granero-Belinchón, Rafael 20 2014 On a regularity criterion for the solutions to the 3D Navier-Stokes equations. Zbl 1034.35087Berselli, Luigi C. 19 2002 Vanishing viscosity limit and long-time behavior for 2D quasi-geostrophic equations. Zbl 1044.35055Berselli, Luigi C. 18 2002 On the regularity of the solutions to the 3D Navier-Stokes equations: a remark on the role of the helicity. Zbl 1172.35051Berselli, Luigi C.; Córdoba, Diego 17 2009 Some geometric constraints and the problem of global regularity for the Navier-Stokes equations. Zbl 1176.35124Berselli, Luigi C. 15 2009 On the large eddy simulation of the Taylor-Green vortex. Zbl 1067.76049Berselli, Luigi C. 14 2005 On the \(W ^{2,q }\)-regularity of incompressible fluids with shear-dependent viscosities: The shear-thinning case. Zbl 1193.76019Berselli, Luigi C. 13 2009 Analysis of a reduced-order approximate deconvolution model and its interpretation as a Navier-Stokes-Voigt regularization. Zbl 1346.35157Berselli, Luigi C.; Kim, Tae-Yeon; Rebholz, Leo G. 12 2016 Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations. Zbl 1205.35186Berselli, Luigi C. 11 2009 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 1193.35125Berselli, Luigi C. 10 2010 Convergence of approximate deconvolution models to the mean magnetohydrodynamics equations: analysis of two models. Zbl 1307.76081Berselli, Luigi C.; Catania, Davide; Lewandowski, Roger 10 2013 Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt approximation. Zbl 1371.35191Berselli, Luigi C.; Spirito, Stefano 10 2017 Mathematical analysis for the rational large eddy simulation model. Zbl 1023.76012Berselli, Luigi C.; Galdi, Giovanni P.; Iliescu, Traian; Layton, William J. 10 2002 Some results on the Navier-Stokes equations with Navier boundary conditions. Zbl 1221.35272Berselli, Luigi C. 10 2010 Analytical and numerical results for the Rational Large Eddy Simulation model. Zbl 1151.76414Barbato, David; Berselli, Luigi C.; Grisanti, Carlo R. 9 2007 Analysis of commutation errors for functions with low regularity. Zbl 1125.76032Berselli, Luigi C.; Grisanti, Carlo R.; John, Volker 8 2007 On the existence and uniqueness of weak solutions for a vorticity seeding model. Zbl 1109.35085Berselli, Luigi C.; Romito, Marco 8 2006 On a theorem by Sohr for the Navier-Stokes equations. Zbl 1058.35054Berselli, Luigi C.; Manfrin, Renato 7 2004 Asymptotic behaviour of commutation errors and the divergence of the Reynolds stress tensor near the wall in the turbulent channel flow. Zbl 1370.76065Berselli, Luigi C.; John, Volker 7 2006 On the energy equality for the 3D Navier-Stokes equations. Zbl 1437.35526Berselli, Luigi C.; Chiodaroli, Elisabetta 7 2020 On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093Berselli, Luigi C.; Flandoli, Franco 6 2010 Logarithmic and improved regularity criteria for the 3D nematic liquid crystals models, Boussinesq system, and MHD equations in a bounded domain. Zbl 1314.35079Berselli, Luigi C.; Fan, Jishan 6 2015 On the Boussinesq system: regularity criteria and singular limits. Zbl 1260.35141Berselli, Luigi C.; Spirito, Stefano 6 2012 A note on regularity of weak solutions of the Navier-Stokes equations in \(\mathbb{R}^n\). Zbl 1044.35049Berselli, Luigi C. 6 2002 Analysis of a large eddy simulation model based on anisotropic filtering. Zbl 1245.76034Berselli, Luigi C. 6 2012 Convergence analysis for a finite element approximation of a steady model for electrorheological fluids. Zbl 1457.65180Berselli, Luigi C.; Breit, Dominic; Diening, Lars 6 2016 Global regularity properties of steady shear thinning flows. Zbl 1378.35236Berselli, Luigi C.; Růžička, Michael 5 2017 Sufficient conditions for the regularity of the solutions of the Navier-Stokes equations. Zbl 0940.35159Berselli, Luigi C. 5 1999 On the global evolution of vortex filaments, blobs, and small loops in 3D ideal flows. Zbl 1116.76017Berselli, Luigi C.; Gubinelli, Massimiliano 5 2007 Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids. Zbl 1326.76056Berselli, Luigi C.; Diening, Lars; Růžička, Michael 5 2015 Some results for the line vortex equation. Zbl 1019.76005Berselli, Luigi C.; Bessaih, Hakima 5 2002 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 1304.35480Berselli, Luigi C.; Spirito, Stefano 5 2014 On the analysis of a geometrically selective turbulence model. Zbl 1437.35532Chorfi, Nejmeddine; Abdelwahed, Mohamed; Berselli, Luigi C. 5 2020 Global regularity for systems with \(p\)-structure depending on the symmetric gradient. Zbl 1417.76004Berselli, Luigi C.; Ružička, Michael 4 2020 On the Boussinesq equations with anisotropic filter in a vertical pipe. Zbl 1327.76051Berselli, Luigi C.; Catania, Davide 4 2015 New substructuring domain decomposition methods for advection-diffusion equations. Zbl 0946.65126Berselli, Luigi C.; Saleri, Fausto 4 2000 Optimal error estimates for a semi-implicit Euler scheme for incompressible fluids with shear dependent viscosities. Zbl 1406.76006Berselli, Luigi C.; Diening, Lars; Růžička, Michael 4 2009 Horizontal large eddy simulation of stratified mixing in a lock-exchange system. Zbl 1432.76119Berselli, Luigi C.; Fischer, Paul F.; Iliescu, Traian; Özgökmen, Tamay M. 4 2011 On Leray’s problem for almost periodic flows. Zbl 1329.35230Berselli, Luigi C.; Romito, Marco 4 2012 Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis. Zbl 1434.76027Amrouche, Cherif; Berselli, Luigi C.; Lewandowski, Roger; Nguyen, Dinh Duong 4 2020 On the Bardina’s model in the whole space. Zbl 1401.35240Lewandowski, Roger; Berselli, Luigi C. 3 2018 On the construction of suitable weak solutions to the 3D Navier-Stokes equations in a bounded domain by an artificial compressibility method. Zbl 1386.35321Berselli, Luigi C.; Spirito, Stefano 3 2018 Weak solutions to the Navier-Stokes equations constructed by semi-discretization are suitable. Zbl 1349.35268Berselli, Luigi C.; Spirito, Stefano 3 2016 On the space-time regularity of \(C(0,T;L^n)\)-very weak solutions to the Navier-Stokes equations. Zbl 1126.35038Berselli, Luigi C.; Galdi, Giovanni P. 3 2004 On the consistency of the rational large eddy simulation model. Zbl 1299.76096Berselli, Luigi C.; Grisanti, Carlo R. 3 2004 On the well-posedness of the Boussinesq equations with anisotropic filter for turbulent flows. Zbl 1308.76066Berselli, Luigi C.; Catania, Davide 3 2015 On the existence of almost-periodic solutions for the 2D dissipative Euler equations. Zbl 1480.35315Berselli, Luigi C.; Bisconti, Luca 3 2015 On the Reynolds time-averaged equations and the long-time behavior of Leray-Hopf weak solutions, with applications to ensemble averages. Zbl 1423.76089Berselli, Luigi C.; Lewandowski, Roger 3 2019 Suitable weak solutions of the Navier-Stokes equations constructed by a space-time numerical discretization. Zbl 1414.35143Berselli, Luigi C.; Fagioli, Simone; Spirito, Stefano 2 2019 Linear perturbations of the Kirchhoff equation. Zbl 1125.35385Berselli, Luigi C.; Manfrin, Renato 2 2000 A higher-order subfilter-scale model for large eddy simulation. Zbl 1107.76332Berselli, Luigi C.; Iliescu, Traian 2 2003 Pulsatile viscous flows in elliptical vessels and annuli: solution to the inverse problem, with application to blood and cerebrospinal fluid flow. Zbl 1391.76884Berselli, Luigi C.; Guerra, Francesca; Mazzolai, Barbara; Sinibaldi, Edoardo 2 2014 The Caccioppoli ultrafunctions. Zbl 1434.46024Benci, Vieri; Berselli, Luigi Carlo; Grisanti, Carlo Romano 1 2019 Weak solutions constructed by semi-discretization are suitable: the case of slip boundary conditions. Zbl 1398.35144Berselli, Luigi C. 1 2018 Classical solutions for the system \(\operatorname{curl} v = g\), with vanishing Dirichlet boundary conditions. Zbl 1409.26007Berselli, Luigi C.; Longo, Placido 1 2019 Horizontal approximate deconvolution for stratified flows: analysis and computations. Zbl 1303.76022Berselli, Luigi C.; Iliescu, Traian; Özgökmen, Tamay 1 2011 Remarks on determining projections for stochastic dissipative equations. Zbl 0952.35165Berselli, Luigi C.; Flandoli, Franco 1 1999 Some problems of shape optimization arising in stationary fluid motion. Zbl 1058.49033Berselli, Luigi C.; Guasoni, Paolo 1 2004 On the magnetohydrodynamic type equations in a new class of non-cylindrical domains. Zbl 0942.76087Berselli, Luigi C.; Ferreira, Jorge 1 1999 An elementary proof of uniqueness of particle trajectories for solutions of a class of shear-thinning non-Newtonian 2D fluids. Zbl 1310.76003Berselli, Luigi C.; Bisconti, Luca 1 2013 A note on the Euler-Voigt system in a 3D bounded domain: propagation of singularities and absence of the boundary layer. Zbl 1427.35197Berselli, Luigi C.; Catania, Davide 1 2019 Towards fluid equations by approximate deconvolution models. Zbl 1296.35116Berselli, Luigi C. 1 2012 On the regularity up to the boundary for certain nonlinear elliptic systems. Zbl 1335.35058Berselli, Luigi C.; Grisanti, Carlo R. 1 2016 On the energy equality for the 3D Navier-Stokes equations. Zbl 1437.35526Berselli, Luigi C.; Chiodaroli, Elisabetta 7 2020 On the analysis of a geometrically selective turbulence model. Zbl 1437.35532Chorfi, Nejmeddine; Abdelwahed, Mohamed; Berselli, Luigi C. 5 2020 Global regularity for systems with \(p\)-structure depending on the symmetric gradient. Zbl 1417.76004Berselli, Luigi C.; Ružička, Michael 4 2020 Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis. Zbl 1434.76027Amrouche, Cherif; Berselli, Luigi C.; Lewandowski, Roger; Nguyen, Dinh Duong 4 2020 On the Reynolds time-averaged equations and the long-time behavior of Leray-Hopf weak solutions, with applications to ensemble averages. Zbl 1423.76089Berselli, Luigi C.; Lewandowski, Roger 3 2019 Suitable weak solutions of the Navier-Stokes equations constructed by a space-time numerical discretization. Zbl 1414.35143Berselli, Luigi C.; Fagioli, Simone; Spirito, Stefano 2 2019 The Caccioppoli ultrafunctions. Zbl 1434.46024Benci, Vieri; Berselli, Luigi Carlo; Grisanti, Carlo Romano 1 2019 Classical solutions for the system \(\operatorname{curl} v = g\), with vanishing Dirichlet boundary conditions. Zbl 1409.26007Berselli, Luigi C.; Longo, Placido 1 2019 A note on the Euler-Voigt system in a 3D bounded domain: propagation of singularities and absence of the boundary layer. Zbl 1427.35197Berselli, Luigi C.; Catania, Davide 1 2019 On the Bardina’s model in the whole space. Zbl 1401.35240Lewandowski, Roger; Berselli, Luigi C. 3 2018 On the construction of suitable weak solutions to the 3D Navier-Stokes equations in a bounded domain by an artificial compressibility method. Zbl 1386.35321Berselli, Luigi C.; Spirito, Stefano 3 2018 Weak solutions constructed by semi-discretization are suitable: the case of slip boundary conditions. Zbl 1398.35144Berselli, Luigi C. 1 2018 Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt approximation. Zbl 1371.35191Berselli, Luigi C.; Spirito, Stefano 10 2017 Global regularity properties of steady shear thinning flows. Zbl 1378.35236Berselli, Luigi C.; Růžička, Michael 5 2017 Analysis of a reduced-order approximate deconvolution model and its interpretation as a Navier-Stokes-Voigt regularization. Zbl 1346.35157Berselli, Luigi C.; Kim, Tae-Yeon; Rebholz, Leo G. 12 2016 Convergence analysis for a finite element approximation of a steady model for electrorheological fluids. Zbl 1457.65180Berselli, Luigi C.; Breit, Dominic; Diening, Lars 6 2016 Weak solutions to the Navier-Stokes equations constructed by semi-discretization are suitable. Zbl 1349.35268Berselli, Luigi C.; Spirito, Stefano 3 2016 On the regularity up to the boundary for certain nonlinear elliptic systems. Zbl 1335.35058Berselli, Luigi C.; Grisanti, Carlo R. 1 2016 Logarithmic and improved regularity criteria for the 3D nematic liquid crystals models, Boussinesq system, and MHD equations in a bounded domain. Zbl 1314.35079Berselli, Luigi C.; Fan, Jishan 6 2015 Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids. Zbl 1326.76056Berselli, Luigi C.; Diening, Lars; Růžička, Michael 5 2015 On the Boussinesq equations with anisotropic filter in a vertical pipe. Zbl 1327.76051Berselli, Luigi C.; Catania, Davide 4 2015 On the well-posedness of the Boussinesq equations with anisotropic filter for turbulent flows. Zbl 1308.76066Berselli, Luigi C.; Catania, Davide 3 2015 On the existence of almost-periodic solutions for the 2D dissipative Euler equations. Zbl 1480.35315Berselli, Luigi C.; Bisconti, Luca 3 2015 Local solvability and turning for the inhomogeneous Muskat problem. Zbl 1295.35385Berselli, Luigi C.; Córdoba, Diego; Granero-Belinchón, Rafael 20 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 1304.35480Berselli, Luigi C.; Spirito, Stefano 5 2014 Pulsatile viscous flows in elliptical vessels and annuli: solution to the inverse problem, with application to blood and cerebrospinal fluid flow. Zbl 1391.76884Berselli, Luigi C.; Guerra, Francesca; Mazzolai, Barbara; Sinibaldi, Edoardo 2 2014 Convergence of approximate deconvolution models to the mean magnetohydrodynamics equations: analysis of two models. Zbl 1307.76081Berselli, Luigi C.; Catania, Davide; Lewandowski, Roger 10 2013 An elementary proof of uniqueness of particle trajectories for solutions of a class of shear-thinning non-Newtonian 2D fluids. Zbl 1310.76003Berselli, Luigi C.; Bisconti, Luca 1 2013 Convergence of approximate deconvolution models to the mean Navier-Stokes equations. Zbl 1302.76083Berselli, Luigi C.; Lewandowski, Roger 26 2012 On the vanishing viscosity limit of 3D Navier-Stokes equations under slip boundary conditions in general domains. Zbl 1254.35175Berselli, Luigi Carlo; Spirito, Stefano 26 2012 On the finite element approximation of p-Stokes systems. Zbl 1426.76221Belenki, L.; Berselli, L. C.; Diening, L.; Růžička, M. 23 2012 On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models. Zbl 1229.35165Berselli, Luigi C.; Bisconti, Luca 21 2012 On the Boussinesq system: regularity criteria and singular limits. Zbl 1260.35141Berselli, Luigi C.; Spirito, Stefano 6 2012 Analysis of a large eddy simulation model based on anisotropic filtering. Zbl 1245.76034Berselli, Luigi C. 6 2012 On Leray’s problem for almost periodic flows. Zbl 1329.35230Berselli, Luigi C.; Romito, Marco 4 2012 Towards fluid equations by approximate deconvolution models. Zbl 1296.35116Berselli, Luigi C. 1 2012 Horizontal large eddy simulation of stratified mixing in a lock-exchange system. Zbl 1432.76119Berselli, Luigi C.; Fischer, Paul F.; Iliescu, Traian; Özgökmen, Tamay M. 4 2011 Horizontal approximate deconvolution for stratified flows: analysis and computations. Zbl 1303.76022Berselli, Luigi C.; Iliescu, Traian; Özgökmen, Tamay 1 2011 Existence of strong solutions for incompressible fluids with shear-dependent viscosities. Zbl 1261.35118Berselli, Luigi C.; Diening, Lars; Ružička, Michael 41 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 1193.35125Berselli, Luigi C. 10 2010 Some results on the Navier-Stokes equations with Navier boundary conditions. Zbl 1221.35272Berselli, Luigi C. 10 2010 On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093Berselli, Luigi C.; Flandoli, Franco 6 2010 Navier-Stokes equations: Green’s matrices, vorticity direction, and regularity up to the boundary. Zbl 1155.35067Beirão da Veiga, Hugo; Berselli, Luigi C. 39 2009 On the regularity of the solutions to the 3D Navier-Stokes equations: a remark on the role of the helicity. Zbl 1172.35051Berselli, Luigi C.; Córdoba, Diego 17 2009 Some geometric constraints and the problem of global regularity for the Navier-Stokes equations. Zbl 1176.35124Berselli, Luigi C. 15 2009 On the \(W ^{2,q }\)-regularity of incompressible fluids with shear-dependent viscosities: The shear-thinning case. Zbl 1193.76019Berselli, Luigi C. 13 2009 Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations. Zbl 1205.35186Berselli, Luigi C. 11 2009 Optimal error estimates for a semi-implicit Euler scheme for incompressible fluids with shear dependent viscosities. Zbl 1406.76006Berselli, Luigi C.; Diening, Lars; Růžička, Michael 4 2009 Analytical and numerical results for the Rational Large Eddy Simulation model. Zbl 1151.76414Barbato, David; Berselli, Luigi C.; Grisanti, Carlo R. 9 2007 Analysis of commutation errors for functions with low regularity. Zbl 1125.76032Berselli, 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 1116.76017Berselli, Luigi C.; Gubinelli, Massimiliano 5 2007 Mathematics of large eddy simulation of turbulent flows. Zbl 1089.76002Berselli, L. C.; Iliescu, T.; Layton, W. J. 139 2006 On the existence and uniqueness of weak solutions for a vorticity seeding model. Zbl 1109.35085Berselli, Luigi C.; Romito, Marco 8 2006 Asymptotic behaviour of commutation errors and the divergence of the Reynolds stress tensor near the wall in the turbulent channel flow. Zbl 1370.76065Berselli, Luigi C.; John, Volker 7 2006 On the large eddy simulation of the Taylor-Green vortex. Zbl 1067.76049Berselli, Luigi C. 14 2005 On a theorem by Sohr for the Navier-Stokes equations. Zbl 1058.35054Berselli, Luigi C.; Manfrin, Renato 7 2004 On the space-time regularity of \(C(0,T;L^n)\)-very weak solutions to the Navier-Stokes equations. Zbl 1126.35038Berselli, Luigi C.; Galdi, Giovanni P. 3 2004 On the consistency of the rational large eddy simulation model. Zbl 1299.76096Berselli, Luigi C.; Grisanti, Carlo R. 3 2004 Some problems of shape optimization arising in stationary fluid motion. Zbl 1058.49033Berselli, Luigi C.; Guasoni, Paolo 1 2004 A higher-order subfilter-scale model for large eddy simulation. Zbl 1107.76332Berselli, Luigi C.; Iliescu, Traian 2 2003 Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations. Zbl 1075.35031Berselli, Luigi C.; Galdi, Giovanni P. 82 2002 On the regularizing effect of the vorticity direction in incompressible viscous flows. Zbl 1014.35072Beirão da Veiga, Hugo; Berselli, Luigi C. 47 2002 On a regularity criterion for the solutions to the 3D Navier-Stokes equations. Zbl 1034.35087Berselli, Luigi C. 19 2002 Vanishing viscosity limit and long-time behavior for 2D quasi-geostrophic equations. Zbl 1044.35055Berselli, Luigi C. 18 2002 Mathematical analysis for the rational large eddy simulation model. Zbl 1023.76012Berselli, Luigi C.; Galdi, Giovanni P.; Iliescu, Traian; Layton, William J. 10 2002 A note on regularity of weak solutions of the Navier-Stokes equations in \(\mathbb{R}^n\). Zbl 1044.35049Berselli, Luigi C. 6 2002 Some results for the line vortex equation. Zbl 1019.76005Berselli, Luigi C.; Bessaih, Hakima 5 2002 New substructuring domain decomposition methods for advection-diffusion equations. Zbl 0946.65126Berselli, Luigi C.; Saleri, Fausto 4 2000 Linear perturbations of the Kirchhoff equation. Zbl 1125.35385Berselli, Luigi C.; Manfrin, Renato 2 2000 Sufficient conditions for the regularity of the solutions of the Navier-Stokes equations. Zbl 0940.35159Berselli, Luigi C. 5 1999 Remarks on determining projections for stochastic dissipative equations. Zbl 0952.35165Berselli, Luigi C.; Flandoli, Franco 1 1999 On the magnetohydrodynamic type equations in a new class of non-cylindrical domains. Zbl 0942.76087Berselli, Luigi C.; Ferreira, Jorge 1 1999 all cited Publications top 5 cited Publications all top 5 Cited by 580 Authors 44 Berselli, Luigi Carlo 22 Rebholz, Leo G. 19 Beirão da Veiga, Hugo 19 Layton, William J. 17 Neda, Monika 13 Fan, Jishan 12 Lewandowski, Roger 12 Růžička, Michael 11 Gala, Sadek 11 Iliescu, Traian 11 San, Omer 10 Titi, Edriss Saleh 9 Bisconti, Luca 8 Catania, Davide 8 Dunca, Argus Adrian 8 Granero Belinchón, Rafael 8 John, Volker 8 Yang, Jiaqi 8 Zhou, Yong 7 Chae, Dongho 7 Grujić, Zoran 7 Liu, Qiao 7 Manica, Carolina Cardoso 6 Bae, Hyeong-Ohk 6 Constantin, Peter 6 Crispo, Francesca 6 Kang, Kyungkeun 6 Kim, Tae-Yeon 6 Kukavica, Igor 6 Maulik, Romit 6 Spirito, Stefano 6 Trenchea, Catalin 6 Yu, Xinwei 5 Chacón Rebollo, Tomás 5 Kim, Jaemyoung 5 Lee, Jihoon 5 Matioc, Bogdan-Vasile 5 Penel, Patrick 5 Ragusa, Maria Alessandra 5 Süli, Endre E. 5 Wang, Zhu 5 Xin, Zhouping 4 Amrouche, Chérif 4 Bessaih, Hakima 4 Borggaard, Jeff T. 4 Breit, Dominic 4 Chorfi, Nejmeddine 4 Cordoba, Diego 4 Diening, Lars 4 Dong, Boqing 4 Gazzola, Filippo 4 Grisanti, Carlo-Romano 4 Jia, Yan 4 Jiang, Nan 4 Jin, Bumja 4 Kindl, Adela 4 Mariano, Paolo Maria 4 Nakamura, Gen 4 Neustupa, Jiří 4 Sin, Cholmin 4 Tran, Chuong V. 4 Xiao, Yuelong 4 Zhang, Zujin 4 Zhong, Xin 3 Abdelwahed, Mohamed 3 Bae, Hantaek 3 Cao, Chongsheng 3 Connors, Jeffrey Mark 3 Denaro, Filippo Maria 3 Flandoli, Franco 3 Fried, Eliot 3 Galdi, Giovanni Paolo 3 Gancedo, Francisco 3 Gómez Mármol, Macarena 3 Gubinelli, Massimiliano 3 Guo, Zhengguang 3 Ju, Ning 3 Kaya, Songul 3 Larios, Adam 3 Li, Fucai 3 Lube, Gert 3 Nguyen, Dinh Duong 3 Niche, César J. 3 Olshanskii, Maxim A. 3 Pokorný, Milan 3 Rojas-Medar, Marko Antonio 3 Rubino, Samuele 3 Stanculescu, Iuliana 3 Vicol, Vlad C. 3 Wang, Yanqing 3 Zhang, Zhifei 3 Ziane, Mohammed 2 Ahlkrona, Josefin 2 Akhtar, Imran 2 Ali, Hani 2 Bradshaw, Zachary 2 Breckling, Sean 2 Burczak, Jan 2 Caraballo Garrido, Tomás 2 Chiodaroli, Elisabetta ...and 480 more Authors all top 5 Cited in 147 Serials 38 Journal of Mathematical Fluid Mechanics 34 Journal of Mathematical Analysis and Applications 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Journal of Differential Equations 15 Applied Mathematics Letters 13 Computer Methods in Applied Mechanics and Engineering 12 Communications in Mathematical Physics 11 Computers & Mathematics with Applications 11 Applied Mathematics and Computation 10 Journal of Computational Physics 10 Chinese Annals of Mathematics. Series B 9 Archive for Rational Mechanics and Analysis 9 Journal of Computational and Applied Mathematics 9 Proceedings of the American Mathematical Society 8 Mathematical Methods in the Applied Sciences 8 Nonlinear Analysis. Real World Applications 7 Journal of Fluid Mechanics 7 Journal of Mathematical Physics 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Numerical Methods for Partial Differential Equations 7 Advances in Nonlinear Analysis 6 Acta Applicandae Mathematicae 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 International Journal of Computational Fluid Dynamics 6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 6 Discrete and Continuous Dynamical Systems. Series S 5 Journal of Statistical Physics 5 Nonlinearity 5 Mathematics of Computation 5 SIAM Journal on Numerical Analysis 5 Physica D 5 Journal of Scientific Computing 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Journal of Nonlinear Science 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Computers and Fluids 4 Applied Mathematics and Optimization 4 Applications of Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Evolution Equations 4 Discrete and Continuous Dynamical Systems. Series B 4 Communications on Pure and Applied Analysis 4 Boundary Value Problems 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 S\(\vec{\text{e}}\)MA Journal 3 Advances in Mathematics 3 Rendiconti del Seminario Matematico della Università di Padova 3 Applied Numerical Mathematics 3 International Journal of Computer Mathematics 3 Calculus of Variations and Partial Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Abstract and Applied Analysis 3 Journal of Turbulence 3 Computational Methods in Applied Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Evolution Equations and Control Theory 3 AIMS Mathematics 2 Applicable Analysis 2 International Journal for Numerical Methods in Fluids 2 Annales Polonici Mathematici 2 Archiv der Mathematik 2 Mathematische Annalen 2 Numerische Mathematik 2 Quarterly of Applied Mathematics 2 Transactions of the American Mathematical Society 2 Zeitschrift für Analysis und ihre Anwendungen 2 Revista Matemática Iberoamericana 2 Applied Mathematical Modelling 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Journal of Dynamics and Differential Equations 2 SIAM Journal on Scientific Computing 2 Physics of Fluids 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems 2 Mathematical Physics, Analysis and Geometry 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Archives of Computational Methods in Engineering 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Frontiers of Mathematics in China 2 Kinetic and Related Models 2 Advances in Mathematical Physics 2 Advances in Numerical Analysis 2 Science China. Mathematics 2 SN Partial Differential Equations and Applications 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Lithuanian Mathematical Journal 1 Physica A 1 Bulletin of Mathematical Biology 1 Theoretical and Computational Fluid Dynamics 1 Acta Mathematica Vietnamica 1 The Annals of Probability 1 Calcolo 1 Hiroshima Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Bulletin of the Korean Mathematical Society ...and 47 more Serials all top 5 Cited in 30 Fields 458 Fluid mechanics (76-XX) 404 Partial differential equations (35-XX) 92 Numerical analysis (65-XX) 15 Geophysics (86-XX) 12 Real functions (26-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of deformable solids (74-XX) 6 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 6 Optics, electromagnetic theory (78-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 3 Quantum theory (81-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year