## Berselli, Luigi Carlo

Compute Distance To:
 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: 95 Publications since 1997, including 2 Books 2 Contributions as Editor Co-Authors: 50 Co-Authors with 78 Joint Publications 1,157 Co-Co-Authors
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### Co-Authors

 17 single-authored 12 Růžička, Michael 10 Spirito, Stefano 9 Lewandowski, Roger 6 Iliescu, Traian 5 Catania, Davide 5 Diening, Lars 5 Grisanti, Carlo-Romano 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 Koc, Birgul 1 Mazzolai, Barbara 1 Menciassi, Arianna 1 Miloro, Piero 1 Morando, Alessandro 1 Rebholz, Leo G. 1 Saleri, Fausto 1 Trebeschi, Paola
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### 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 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 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 Mathematics in Engineering 1 SN Partial Differential Equations and Applications 1 Scientific Computation 1 Advances in Continuous and Discrete Models
all top 5

### Fields

 85 Fluid mechanics (76-XX) 79 Partial differential equations (35-XX) 13 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 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

73 Publications have been cited 902 times in 599 Documents Cited by Year
Mathematics of large eddy simulation of turbulent flows. Zbl 1089.76002
Berselli, L. C.; Iliescu, T.; Layton, W. J.
2006
Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations. Zbl 1075.35031
Berselli, Luigi C.; Galdi, Giovanni P.
2002
On the regularizing effect of the vorticity direction in incompressible viscous flows. Zbl 1014.35072
Beirão da Veiga, Hugo; Berselli, Luigi C.
2002
Existence of strong solutions for incompressible fluids with shear-dependent viscosities. Zbl 1261.35118
Berselli, Luigi C.; Diening, Lars; Ružička, Michael
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.
2009
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
2012
On the finite element approximation of p-Stokes systems. Zbl 1426.76221
Belenki, L.; Berselli, L. C.; Diening, L.; Růžička, M.
2012
Convergence of approximate deconvolution models to the mean Navier-Stokes equations. Zbl 1302.76083
Berselli, Luigi C.; Lewandowski, Roger
2012
On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models. Zbl 1229.35165
Berselli, Luigi C.; Bisconti, Luca
2012
Local solvability and turning for the inhomogeneous Muskat problem. Zbl 1295.35385
Berselli, Luigi C.; Córdoba, Diego; Granero-Belinchón, Rafael
2014
On a regularity criterion for the solutions to the 3D Navier-Stokes equations. Zbl 1034.35087
Berselli, Luigi C.
2002
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
2009
Vanishing viscosity limit and long-time behavior for 2D quasi-geostrophic equations. Zbl 1044.35055
Berselli, Luigi C.
2002
Some geometric constraints and the problem of global regularity for the Navier-Stokes equations. Zbl 1176.35124
Berselli, Luigi C.
2009
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.
2016
On the large eddy simulation of the Taylor-Green vortex. Zbl 1067.76049
Berselli, Luigi C.
2005
On the $$W ^{2,q }$$-regularity of incompressible fluids with shear-dependent viscosities: The shear-thinning case. Zbl 1193.76019
Berselli, Luigi C.
2009
Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations. Zbl 1205.35186
Berselli, Luigi C.
2009
On the energy equality for the 3D Navier-Stokes equations. Zbl 1437.35526
Berselli, Luigi C.; Chiodaroli, Elisabetta
2020
Some results on the Navier-Stokes equations with Navier boundary conditions. Zbl 1221.35272
Berselli, Luigi C.
2010
Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt approximation. Zbl 1371.35191
Berselli, Luigi C.; Spirito, Stefano
2017
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.
2010
Mathematical analysis for the rational large eddy simulation model. Zbl 1023.76012
Berselli, Luigi C.; Galdi, Giovanni P.; Iliescu, Traian; Layton, William J.
2002
Convergence of approximate deconvolution models to the mean magnetohydrodynamics equations: analysis of two models. Zbl 1307.76081
Berselli, Luigi C.; Catania, Davide; Lewandowski, Roger
2013
Analytical and numerical results for the Rational Large Eddy Simulation model. Zbl 1151.76414
Barbato, David; Berselli, Luigi C.; Grisanti, Carlo R.
2007
On a theorem by Sohr for the Navier-Stokes equations. Zbl 1058.35054
Berselli, Luigi C.; Manfrin, Renato
2004
On the existence and uniqueness of weak solutions for a vorticity seeding model. Zbl 1109.35085
Berselli, Luigi C.; Romito, Marco
2006
Analysis of commutation errors for functions with low regularity. Zbl 1125.76032
Berselli, Luigi C.; Grisanti, Carlo R.; John, Volker
2007
On the Boussinesq system: regularity criteria and singular limits. Zbl 1260.35141
Berselli, Luigi C.; Spirito, Stefano
2012
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
2006
On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093
Berselli, Luigi C.; Flandoli, Franco
2010
Convergence analysis for a finite element approximation of a steady model for electrorheological fluids. Zbl 1457.65180
Berselli, Luigi C.; Breit, Dominic; Diening, Lars
2016
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
2015
Global regularity properties of steady shear thinning flows. Zbl 1378.35236
Berselli, Luigi C.; Růžička, Michael
2017
A note on regularity of weak solutions of the Navier-Stokes equations in $$\mathbb{R}^n$$. Zbl 1044.35049
Berselli, Luigi C.
2002
On the analysis of a geometrically selective turbulence model. Zbl 1437.35532
Chorfi, Nejmeddine; Abdelwahed, Mohamed; Berselli, Luigi C.
2020
Global regularity for systems with $$p$$-structure depending on the symmetric gradient. Zbl 1417.76004
Berselli, Luigi C.; Ružička, Michael
2020
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
2015
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
2014
Analysis of a large eddy simulation model based on anisotropic filtering. Zbl 1245.76034
Berselli, Luigi C.
2012
Some results for the line vortex equation. Zbl 1019.76005
Berselli, Luigi C.; Bessaih, Hakima
2002
On the Bardina’s model in the whole space. Zbl 1401.35240
Lewandowski, Roger; Berselli, Luigi C.
2018
On the global evolution of vortex filaments, blobs, and small loops in 3D ideal flows. Zbl 1116.76017
Berselli, Luigi C.; Gubinelli, Massimiliano
2007
Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis. Zbl 1434.76027
Amrouche, Cherif; Berselli, Luigi C.; Lewandowski, Roger; Nguyen, Dinh Duong
2020
Sufficient conditions for the regularity of the solutions of the Navier-Stokes equations. Zbl 0940.35159
Berselli, Luigi C.
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
2019
On the Boussinesq equations with anisotropic filter in a vertical pipe. Zbl 1327.76051
Berselli, Luigi C.; Catania, Davide
2015
On Leray’s problem for almost periodic flows. Zbl 1329.35230
Berselli, Luigi C.; Romito, Marco
2012
New substructuring domain decomposition methods for advection-diffusion equations. Zbl 0946.65126
Berselli, Luigi C.; Saleri, Fausto
2000
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.
2011
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
2009
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
2019
Weak solutions to the Navier-Stokes equations constructed by semi-discretization are suitable. Zbl 1349.35268
Berselli, Luigi C.; Spirito, Stefano
2016
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
2018
Linear perturbations of the Kirchhoff equation. Zbl 1125.35385
Berselli, Luigi C.; Manfrin, Renato
2000
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.
2004
On the consistency of the rational large eddy simulation model. Zbl 1299.76096
Berselli, Luigi C.; Grisanti, Carlo R.
2004
On the existence of almost-periodic solutions for the 2D dissipative Euler equations. Zbl 1480.35315
Berselli, Luigi C.; Bisconti, Luca
2015
On the well-posedness of the Boussinesq equations with anisotropic filter for turbulent flows. Zbl 1308.76066
Berselli, Luigi C.; Catania, Davide
2015
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
2019
A higher-order subfilter-scale model for large eddy simulation. Zbl 1107.76332
Berselli, Luigi C.; Iliescu, Traian
2003
Some problems of shape optimization arising in stationary fluid motion. Zbl 1058.49033
Berselli, Luigi C.; Guasoni, Paolo
2004
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
2014
On the regularity up to the boundary for certain nonlinear elliptic systems. Zbl 1335.35058
Berselli, Luigi C.; Grisanti, Carlo R.
2016
Classical solutions for the system $$\operatorname{curl} v = g$$, with vanishing Dirichlet boundary conditions. Zbl 1409.26007
Berselli, Luigi C.; Longo, Placido
2019
The Caccioppoli ultrafunctions. Zbl 1434.46024
Benci, Vieri; Berselli, Luigi Carlo; Grisanti, Carlo Romano
2019
Space-time discretization for nonlinear parabolic systems with $$p$$-structure. Zbl 07465498
Berselli, Luigi C.; Růžička, Michael
2022
Weak solutions constructed by semi-discretization are suitable: the case of slip boundary conditions. Zbl 1398.35144
Berselli, Luigi C.
2018
Towards fluid equations by approximate deconvolution models. Zbl 1296.35116
Berselli, Luigi C.
2012
Horizontal approximate deconvolution for stratified flows: analysis and computations. Zbl 1303.76022
Berselli, Luigi C.; Iliescu, Traian; Özgökmen, Tamay
2011
On the magnetohydrodynamic type equations in a new class of non-cylindrical domains. Zbl 0942.76087
Berselli, Luigi C.; Ferreira, Jorge
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
2013
Remarks on determining projections for stochastic dissipative equations. Zbl 0952.35165
Berselli, Luigi C.; Flandoli, Franco
1999
Space-time discretization for nonlinear parabolic systems with $$p$$-structure. Zbl 07465498
Berselli, Luigi C.; Růžička, Michael
2022
On the energy equality for the 3D Navier-Stokes equations. Zbl 1437.35526
Berselli, Luigi C.; Chiodaroli, Elisabetta
2020
On the analysis of a geometrically selective turbulence model. Zbl 1437.35532
Chorfi, Nejmeddine; Abdelwahed, Mohamed; Berselli, Luigi C.
2020
Global regularity for systems with $$p$$-structure depending on the symmetric gradient. Zbl 1417.76004
Berselli, Luigi C.; Ružička, Michael
2020
Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis. Zbl 1434.76027
Amrouche, Cherif; Berselli, Luigi C.; Lewandowski, Roger; Nguyen, Dinh Duong
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
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
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
2019
Classical solutions for the system $$\operatorname{curl} v = g$$, with vanishing Dirichlet boundary conditions. Zbl 1409.26007
Berselli, Luigi C.; Longo, Placido
2019
The Caccioppoli ultrafunctions. Zbl 1434.46024
Benci, Vieri; Berselli, Luigi Carlo; Grisanti, Carlo Romano
2019
On the Bardina’s model in the whole space. Zbl 1401.35240
Lewandowski, Roger; Berselli, Luigi C.
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
2018
Weak solutions constructed by semi-discretization are suitable: the case of slip boundary conditions. Zbl 1398.35144
Berselli, Luigi C.
2018
Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt approximation. Zbl 1371.35191
Berselli, Luigi C.; Spirito, Stefano
2017
Global regularity properties of steady shear thinning flows. Zbl 1378.35236
Berselli, Luigi C.; Růžička, Michael
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.
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
2016
Weak solutions to the Navier-Stokes equations constructed by semi-discretization are suitable. Zbl 1349.35268
Berselli, Luigi C.; Spirito, Stefano
2016
On the regularity up to the boundary for certain nonlinear elliptic systems. Zbl 1335.35058
Berselli, Luigi C.; Grisanti, Carlo R.
2016
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
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
2015
On the Boussinesq equations with anisotropic filter in a vertical pipe. Zbl 1327.76051
Berselli, Luigi C.; Catania, Davide
2015
On the existence of almost-periodic solutions for the 2D dissipative Euler equations. Zbl 1480.35315
Berselli, Luigi C.; Bisconti, Luca
2015
On the well-posedness of the Boussinesq equations with anisotropic filter for turbulent flows. Zbl 1308.76066
Berselli, Luigi C.; Catania, Davide
2015
Local solvability and turning for the inhomogeneous Muskat problem. Zbl 1295.35385
Berselli, Luigi C.; Córdoba, Diego; Granero-Belinchón, Rafael
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
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
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
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
2013
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
2012
On the finite element approximation of p-Stokes systems. Zbl 1426.76221
Belenki, L.; Berselli, L. C.; Diening, L.; Růžička, M.
2012
Convergence of approximate deconvolution models to the mean Navier-Stokes equations. Zbl 1302.76083
Berselli, Luigi C.; Lewandowski, Roger
2012
On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models. Zbl 1229.35165
Berselli, Luigi C.; Bisconti, Luca
2012
On the Boussinesq system: regularity criteria and singular limits. Zbl 1260.35141
Berselli, Luigi C.; Spirito, Stefano
2012
Analysis of a large eddy simulation model based on anisotropic filtering. Zbl 1245.76034
Berselli, Luigi C.
2012
On Leray’s problem for almost periodic flows. Zbl 1329.35230
Berselli, Luigi C.; Romito, Marco
2012
Towards fluid equations by approximate deconvolution models. Zbl 1296.35116
Berselli, Luigi C.
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.
2011
Horizontal approximate deconvolution for stratified flows: analysis and computations. Zbl 1303.76022
Berselli, Luigi C.; Iliescu, Traian; Özgökmen, Tamay
2011
Existence of strong solutions for incompressible fluids with shear-dependent viscosities. Zbl 1261.35118
Berselli, Luigi C.; Diening, Lars; Ružička, Michael
2010
Some results on the Navier-Stokes equations with Navier boundary conditions. Zbl 1221.35272
Berselli, Luigi C.
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.
2010
On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093
Berselli, Luigi C.; Flandoli, Franco
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.
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
2009
Some geometric constraints and the problem of global regularity for the Navier-Stokes equations. Zbl 1176.35124
Berselli, Luigi C.
2009
On the $$W ^{2,q }$$-regularity of incompressible fluids with shear-dependent viscosities: The shear-thinning case. Zbl 1193.76019
Berselli, Luigi C.
2009
Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations. Zbl 1205.35186
Berselli, Luigi C.
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
2009
Analytical and numerical results for the Rational Large Eddy Simulation model. Zbl 1151.76414
Barbato, David; Berselli, Luigi C.; Grisanti, Carlo R.
2007
Analysis of commutation errors for functions with low regularity. Zbl 1125.76032
Berselli, Luigi C.; Grisanti, Carlo R.; John, Volker
2007
On the global evolution of vortex filaments, blobs, and small loops in 3D ideal flows. Zbl 1116.76017
Berselli, Luigi C.; Gubinelli, Massimiliano
2007
Mathematics of large eddy simulation of turbulent flows. Zbl 1089.76002
Berselli, L. C.; Iliescu, T.; Layton, W. J.
2006
On the existence and uniqueness of weak solutions for a vorticity seeding model. Zbl 1109.35085
Berselli, Luigi C.; Romito, Marco
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
2006
On the large eddy simulation of the Taylor-Green vortex. Zbl 1067.76049
Berselli, Luigi C.
2005
On a theorem by Sohr for the Navier-Stokes equations. Zbl 1058.35054
Berselli, Luigi C.; Manfrin, Renato
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.
2004
On the consistency of the rational large eddy simulation model. Zbl 1299.76096
Berselli, Luigi C.; Grisanti, Carlo R.
2004
Some problems of shape optimization arising in stationary fluid motion. Zbl 1058.49033
Berselli, Luigi C.; Guasoni, Paolo
2004
A higher-order subfilter-scale model for large eddy simulation. Zbl 1107.76332
Berselli, Luigi C.; Iliescu, Traian
2003
Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations. Zbl 1075.35031
Berselli, Luigi C.; Galdi, Giovanni P.
2002
On the regularizing effect of the vorticity direction in incompressible viscous flows. Zbl 1014.35072
Beirão da Veiga, Hugo; Berselli, Luigi C.
2002
On a regularity criterion for the solutions to the 3D Navier-Stokes equations. Zbl 1034.35087
Berselli, Luigi C.
2002
Vanishing viscosity limit and long-time behavior for 2D quasi-geostrophic equations. Zbl 1044.35055
Berselli, Luigi C.
2002
Mathematical analysis for the rational large eddy simulation model. Zbl 1023.76012
Berselli, Luigi C.; Galdi, Giovanni P.; Iliescu, Traian; Layton, William J.
2002
A note on regularity of weak solutions of the Navier-Stokes equations in $$\mathbb{R}^n$$. Zbl 1044.35049
Berselli, Luigi C.
2002
Some results for the line vortex equation. Zbl 1019.76005
Berselli, Luigi C.; Bessaih, Hakima
2002
New substructuring domain decomposition methods for advection-diffusion equations. Zbl 0946.65126
Berselli, Luigi C.; Saleri, Fausto
2000
Linear perturbations of the Kirchhoff equation. Zbl 1125.35385
Berselli, Luigi C.; Manfrin, Renato
2000
Sufficient conditions for the regularity of the solutions of the Navier-Stokes equations. Zbl 0940.35159
Berselli, Luigi C.
1999
On the magnetohydrodynamic type equations in a new class of non-cylindrical domains. Zbl 0942.76087
Berselli, Luigi C.; Ferreira, Jorge
1999
Remarks on determining projections for stochastic dissipative equations. Zbl 0952.35165
Berselli, Luigi C.; Flandoli, Franco
1999
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### Cited by 640 Authors

 47 Berselli, Luigi Carlo 22 Rebholz, Leo G. 19 Beirão da Veiga, Hugo 19 Layton, William J. 17 Neda, Monika 14 Iliescu, Traian 13 Fan, Jishan 13 Lewandowski, Roger 13 Růžička, Michael 12 Gala, Sadek 12 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 7 Matioc, Bogdan-Vasile 7 Spirito, Stefano 7 Trenchea, Catalin 6 Bae, Hyeong-Ohk 6 Constantin, Peter 6 Crispo, Francesca 6 Kang, Kyungkeun 6 Kim, Jaemyoung 6 Kim, Tae-Yeon 6 Kukavica, Igor 6 Maulik, Romit 6 Ragusa, Maria Alessandra 6 Süli, Endre E. 6 Wang, Yanqing 6 Wang, Zhu 6 Yu, Xinwei 5 Chacón Rebollo, Tomás 5 Gazzola, Filippo 5 Lee, Jihoon 5 Neustupa, Jiří 5 Penel, Patrick 5 Sin, Cholmin 5 Xiao, Yuelong 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 Grisanti, Carlo-Romano 4 Jia, Yan 4 Jiang, Nan 4 Jin, Bumja 4 Kindl, Adela 4 Li, Fucai 4 Mariano, Paolo Maria 4 Nakamura, Gen 4 Tran, Chuong V. 4 Ye, Yulin 4 Zhang, Zujin 4 Zhong, Xin 3 Abdelwahed, Mohamed 3 Bae, Hantaek 3 Cao, Chongsheng 3 Connors, Jeffrey Mark 3 Denaro, Filippo Maria 3 Farhat, Aseel 3 Flandoli, Franco 3 Fried, Eliot 3 Galdi, Giovanni Paolo 3 Gancedo, Francisco 3 Gómez Mármol, Macarena 3 Gubinelli, Massimiliano 3 Guo, Zhengguang 3 Holm, Darryl Dallas 3 Ju, Ning 3 Kaya, Songul 3 Koc, Birgul 3 Labovsky, Alexander E. 3 Larios, Adam 3 Lube, Gert 3 Nguyen, Dinh Duong 3 Niche, César J. 3 Olshanskii, Maxim A. 3 Pakzad, Ali 3 Pokorný, Milan 3 Rojas-Medar, Marko Antonio 3 Rozza, Gianluigi 3 Rubino, Samuele 3 Stanculescu, Iuliana 3 Takhirov, Aziz 3 Vedula, Prakash 3 Vicol, Vlad C. 3 Wei, Wei ...and 540 more Authors
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### Cited in 160 Serials

 39 Journal of Mathematical Fluid Mechanics 35 Journal of Mathematical Analysis and Applications 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Journal of Differential Equations 17 Applied Mathematics Letters 13 Computer Methods in Applied Mechanics and Engineering 12 Computers & Mathematics with Applications 12 Communications in Mathematical Physics 12 Journal of Computational Physics 11 Applied Mathematics and Computation 11 Nonlinear Analysis. Real World Applications 10 Archive for Rational Mechanics and Analysis 10 Chinese Annals of Mathematics. Series B 9 Journal of Computational and Applied Mathematics 9 Proceedings of the American Mathematical Society 8 Mathematical Methods in the Applied Sciences 8 Journal of Scientific Computing 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 Discrete and Continuous Dynamical Systems. Series S 7 Advances in Nonlinear Analysis 6 Acta Applicandae Mathematicae 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Physica D 6 International Journal of Computational Fluid Dynamics 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Boundary Value Problems 6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 5 Journal of Statistical Physics 5 Nonlinearity 5 Mathematics of Computation 5 SIAM Journal on Numerical Analysis 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Journal of Nonlinear Science 4 Computers and Fluids 4 Applied Mathematics and Optimization 4 Numerische Mathematik 4 Applied Numerical Mathematics 4 Applications of Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Calculus of Variations and Partial Differential Equations 4 Discrete and Continuous Dynamical Systems 4 Journal of Evolution Equations 4 Discrete and Continuous Dynamical Systems. Series B 4 Communications on Pure and Applied Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 S$$\vec{\text{e}}$$MA Journal 4 AIMS Mathematics 3 Advances in Mathematics 3 Rendiconti del Seminario Matematico della Università di Padova 3 International Journal of Computer Mathematics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Abstract and Applied Analysis 3 Journal of Turbulence 3 Computational Methods in Applied Mathematics 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Advances in Mathematical Physics 3 Evolution Equations and Control Theory 2 Applicable Analysis 2 International Journal for Numerical Methods in Fluids 2 Physica A 2 Annales Polonici Mathematici 2 Archiv der Mathematik 2 Journal of Functional Analysis 2 Mathematische Annalen 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 Electronic Journal of Differential Equations (EJDE) 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 Archives of Computational Methods in Engineering 2 Journal of Numerical Mathematics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Frontiers of Mathematics in China 2 Kinetic and Related Models 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 Bulletin of Mathematical Biology 1 Theoretical and Computational Fluid Dynamics 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Calcolo 1 Hiroshima Mathematical Journal ...and 60 more Serials
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### Cited in 30 Fields

 499 Fluid mechanics (76-XX) 445 Partial differential equations (35-XX) 105 Numerical analysis (65-XX) 16 Geophysics (86-XX) 13 Real functions (26-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Mechanics of deformable solids (74-XX) 7 Functional analysis (46-XX) 7 Probability theory and stochastic processes (60-XX) 6 Optics, electromagnetic theory (78-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Biology and other natural sciences (92-XX) 5 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 3 Computer science (68-XX) 3 Quantum theory (81-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)