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Berselli, Luigi Carlo

Author ID: berselli.luigi-carlo Recent zbMATH articles by "Berselli, Luigi Carlo"
Published as: Berselli, Luigi C.; Berselli, Luigi Carlo; Berselli, L. C.; Berselli, L.
External Links: MGP
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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 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 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

Publications by Year

Citations contained in zbMATH Open

84 Publications have been cited 1,077 times in 714 Documents Cited by Year
Mathematics of large eddy simulation of turbulent flows. Zbl 1089.76002
Berselli, L. C.; Iliescu, T.; Layton, W. J.
167
2006
Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations. Zbl 1075.35031
Berselli, Luigi C.; Galdi, Giovanni P.
99
2002
Existence of strong solutions for incompressible fluids with shear-dependent viscosities. Zbl 1261.35118
Berselli, Luigi C.; Diening, Lars; Ružička, Michael
58
2010
On the regularizing effect of the vorticity direction in incompressible viscous flows. Zbl 1014.35072
Beirão da Veiga, Hugo; Berselli, Luigi C.
55
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.
49
2009
On the finite element approximation of p-Stokes systems. Zbl 1426.76221
Belenki, L.; Berselli, L. C.; Diening, L.; Růžička, M.
38
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
35
2012
Convergence of approximate deconvolution models to the mean Navier-Stokes equations. Zbl 1302.76083
Berselli, Luigi C.; Lewandowski, Roger
31
2012
On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models. Zbl 1229.35165
Berselli, Luigi C.; Bisconti, Luca
27
2012
On a regularity criterion for the solutions to the 3D Navier-Stokes equations. Zbl 1034.35087
Berselli, Luigi C.
24
2002
Local solvability and turning for the inhomogeneous Muskat problem. Zbl 1295.35385
Berselli, Luigi C.; Córdoba, Diego; Granero-Belinchón, Rafael
23
2014
On the energy equality for the 3D Navier-Stokes equations. Zbl 1437.35526
Berselli, Luigi C.; Chiodaroli, Elisabetta
21
2020
Some geometric constraints and the problem of global regularity for the Navier-Stokes equations. Zbl 1176.35124
Berselli, Luigi C.
20
2009
Vanishing viscosity limit and long-time behavior for 2D quasi-geostrophic equations. Zbl 1044.35055
Berselli, Luigi C.
20
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
19
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.
16
2016
On the \(W ^{2,q }\)-regularity of incompressible fluids with shear-dependent viscosities: The shear-thinning case. Zbl 1193.76019
Berselli, Luigi C.
15
2009
On the large eddy simulation of the Taylor-Green vortex. Zbl 1067.76049
Berselli, Luigi C.
15
2005
Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt approximation. Zbl 1371.35191
Berselli, Luigi C.; Spirito, Stefano
15
2017
Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations. Zbl 1205.35186
Berselli, Luigi C.
14
2009
Some results on the Navier-Stokes equations with Navier boundary conditions. Zbl 1221.35272
Berselli, Luigi C.
14
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.
13
2010
Mathematical analysis for the rational large eddy simulation model. Zbl 1023.76012
Berselli, Luigi C.; Galdi, Giovanni P.; Iliescu, Traian; Layton, William J.
11
2002
Convergence analysis for a finite element approximation of a steady model for electrorheological fluids. Zbl 1457.65180
Berselli, Luigi C.; Breit, Dominic; Diening, Lars
11
2016
Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis. Zbl 1434.76027
Amrouche, Cherif; Berselli, Luigi C.; Lewandowski, Roger; Nguyen, Dinh Duong
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
10
2013
Global regularity for systems with \(p\)-structure depending on the symmetric gradient. Zbl 1417.76004
Berselli, Luigi C.; Ružička, Michael
10
2020
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 a theorem by Sohr for the Navier-Stokes equations. Zbl 1058.35054
Berselli, Luigi C.; Manfrin, Renato
9
2004
Global regularity properties of steady shear thinning flows. Zbl 1378.35236
Berselli, Luigi C.; Růžička, Michael
9
2017
On the Boussinesq system: regularity criteria and singular limits. Zbl 1260.35141
Berselli, Luigi C.; Spirito, Stefano
9
2012
Analysis of commutation errors for functions with low regularity. Zbl 1125.76032
Berselli, Luigi C.; Grisanti, Carlo R.; John, Volker
8
2007
On the existence and uniqueness of weak solutions for a vorticity seeding model. Zbl 1109.35085
Berselli, Luigi C.; Romito, Marco
8
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
8
2014
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 analysis of a geometrically selective turbulence model. Zbl 1437.35532
Chorfi, Nejmeddine; Abdelwahed, Mohamed; Berselli, Luigi C.
8
2020
Analysis of a large eddy simulation model based on anisotropic filtering. Zbl 1245.76034
Berselli, Luigi C.
7
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
7
2006
On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093
Berselli, Luigi C.; Flandoli, Franco
7
2010
Sufficient conditions for the regularity of the solutions of the Navier-Stokes equations. Zbl 0940.35159
Berselli, Luigi C.
6
1999
A note on regularity of weak solutions of the Navier-Stokes equations in \(\mathbb{R}^n\). Zbl 1044.35049
Berselli, Luigi C.
6
2002
On the Boussinesq equations with anisotropic filter in a vertical pipe. Zbl 1327.76051
Berselli, Luigi C.; Catania, Davide
6
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 global evolution of vortex filaments, blobs, and small loops in 3D ideal flows. Zbl 1116.76017
Berselli, Luigi C.; Gubinelli, Massimiliano
5
2007
Some results for the line vortex equation. Zbl 1019.76005
Berselli, Luigi C.; Bessaih, Hakima
5
2002
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 Leray’s problem for almost periodic flows. Zbl 1329.35230
Berselli, Luigi C.; Romito, Marco
5
2012
On the well-posedness of the Boussinesq equations with anisotropic filter for turbulent flows. Zbl 1308.76066
Berselli, Luigi C.; Catania, Davide
5
2015
On the Bardina’s model in the whole space. Zbl 1401.35240
Lewandowski, Roger; Berselli, Luigi C.
5
2018
Linear perturbations of the Kirchhoff equation. Zbl 1125.35385
Berselli, Luigi C.; Manfrin, Renato
4
2000
New substructuring domain decomposition methods for advection-diffusion equations. Zbl 0946.65126
Berselli, Luigi C.; Saleri, Fausto
4
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.
4
2011
Weak solutions to the Navier-Stokes equations constructed by semi-discretization are suitable. Zbl 1349.35268
Berselli, Luigi C.; Spirito, Stefano
4
2016
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
4
2009
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
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
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
4
2022
Space-time discretization for nonlinear parabolic systems with \(p\)-structure. Zbl 07465498
Berselli, Luigi C.; Růžička, Michael
4
2022
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
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 existence of almost-periodic solutions for the 2D dissipative Euler equations. Zbl 1480.35315
Berselli, Luigi C.; Bisconti, Luca
3
2015
Three-dimensional Navier-Stokes equations for turbulence. Zbl 1474.76007
Berselli, Luigi C.
3
2021
Classical solutions for the system \(\operatorname{curl} v = g\), with vanishing Dirichlet boundary conditions. Zbl 1409.26007
Berselli, Luigi C.; Longo, Placido
3
2019
A higher-order subfilter-scale model for large eddy simulation. Zbl 1107.76332
Berselli, Luigi C.; Iliescu, Traian
2
2003
Some problems of shape optimization arising in stationary fluid motion. Zbl 1058.49033
Berselli, Luigi C.; Guasoni, Paolo
2
2004
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
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
2
2014
Classical solutions of the divergence equation with Dini continuous data. Zbl 1439.35127
Berselli, Luigi C.; Longo, Placido
2
2020
Weak solutions constructed by semi-discretization are suitable: the case of slip boundary conditions. Zbl 1398.35144
Berselli, Luigi C.
2
2018
On the uniqueness for weak solutions of steady double-phase fluids. Zbl 1484.76003
Abdelwahed, Mohamed; Berselli, Luigi C.; Chorfi, Nejmeddine
2
2022
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
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
2
2013
Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications. Zbl 1493.47119
Berselli, Luigi C.; Kaltenbach, Alex; Růžička, Michael
2
2021
The Caccioppoli ultrafunctions. Zbl 1434.46024
Benci, Vieri; Berselli, Luigi Carlo; Grisanti, Carlo Romano
2
2019
Remarks on determining projections for stochastic dissipative equations. Zbl 0952.35165
Berselli, Luigi C.; Flandoli, Franco
1
1999
On the magnetohydrodynamic type equations in a new class of non-cylindrical domains. Zbl 0942.76087
Berselli, Luigi C.; Ferreira, Jorge
1
1999
Towards fluid equations by approximate deconvolution models. Zbl 1296.35116
Berselli, Luigi C.
1
2012
Horizontal approximate deconvolution for stratified flows: analysis and computations. Zbl 1303.76022
Berselli, Luigi C.; Iliescu, Traian; Özgökmen, Tamay
1
2011
Energy conservation for weak solutions of incompressible fluid equations: the Hölder case and connections with Onsager’s conjecture. Zbl 1520.35112
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
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
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
1
2021
On the existence of weak solutions for the steady Baldwin-Lomax model and generalizations. Zbl 1486.35342
Berselli, Luigi C.; Breit, Dominic
1
2021
Energy conservation for weak solutions of incompressible fluid equations: the Hölder case and connections with Onsager’s conjecture. Zbl 1520.35112
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
4
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
2
2022
Three-dimensional Navier-Stokes equations for turbulence. Zbl 1474.76007
Berselli, Luigi C.
3
2021
Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications. Zbl 1493.47119
Berselli, Luigi C.; Kaltenbach, Alex; Růžička, Michael
2
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
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
1
2021
On the existence of weak solutions for the steady Baldwin-Lomax model and generalizations. Zbl 1486.35342
Berselli, Luigi C.; Breit, Dominic
1
2021
On the energy equality for the 3D Navier-Stokes equations. Zbl 1437.35526
Berselli, Luigi C.; Chiodaroli, Elisabetta
21
2020
Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis. Zbl 1434.76027
Amrouche, Cherif; Berselli, Luigi C.; Lewandowski, Roger; Nguyen, Dinh Duong
11
2020
Global regularity for systems with \(p\)-structure depending on the symmetric gradient. Zbl 1417.76004
Berselli, Luigi C.; Ružička, Michael
10
2020
On the analysis of a geometrically selective turbulence model. Zbl 1437.35532
Chorfi, Nejmeddine; Abdelwahed, Mohamed; Berselli, Luigi C.
8
2020
Classical solutions of the divergence equation with Dini continuous data. Zbl 1439.35127
Berselli, Luigi C.; Longo, Placido
2
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
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
Classical solutions for the system \(\operatorname{curl} v = g\), with vanishing Dirichlet boundary conditions. Zbl 1409.26007
Berselli, Luigi C.; Longo, Placido
3
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.
5
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
15
2017
Global regularity properties of steady shear thinning flows. Zbl 1378.35236
Berselli, Luigi C.; Růžička, Michael
9
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.
16
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
11
2016
Weak solutions to the Navier-Stokes equations constructed by semi-discretization are suitable. Zbl 1349.35268
Berselli, Luigi C.; Spirito, Stefano
4
2016
On the regularity up to the boundary for certain nonlinear elliptic systems. Zbl 1335.35058
Berselli, Luigi C.; Grisanti, Carlo R.
3
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
8
2015
On the Boussinesq equations with anisotropic filter in a vertical pipe. Zbl 1327.76051
Berselli, Luigi C.; Catania, Davide
6
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 well-posedness of the Boussinesq equations with anisotropic filter for turbulent flows. Zbl 1308.76066
Berselli, Luigi C.; Catania, Davide
5
2015
On the existence of almost-periodic solutions for the 2D dissipative Euler equations. Zbl 1480.35315
Berselli, Luigi C.; Bisconti, Luca
3
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
8
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
2
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
10
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
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
2
2013
On the finite element approximation of p-Stokes systems. Zbl 1426.76221
Belenki, L.; Berselli, L. C.; Diening, L.; Růžička, M.
38
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
35
2012
Convergence of approximate deconvolution models to the mean Navier-Stokes equations. Zbl 1302.76083
Berselli, Luigi C.; Lewandowski, Roger
31
2012
On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models. Zbl 1229.35165
Berselli, Luigi C.; Bisconti, Luca
27
2012
On the Boussinesq system: regularity criteria and singular limits. Zbl 1260.35141
Berselli, Luigi C.; Spirito, Stefano
9
2012
Analysis of a large eddy simulation model based on anisotropic filtering. Zbl 1245.76034
Berselli, Luigi C.
7
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.
4
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
58
2010
Some results on the Navier-Stokes equations with Navier boundary conditions. Zbl 1221.35272
Berselli, Luigi C.
14
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.
13
2010
On a stochastic approach to eddy viscosity models for turbulent flows. Zbl 1374.76093
Berselli, Luigi C.; Flandoli, Franco
7
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.
49
2009
Some geometric constraints and the problem of global regularity for the Navier-Stokes equations. Zbl 1176.35124
Berselli, Luigi C.
20
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
19
2009
On the \(W ^{2,q }\)-regularity of incompressible fluids with shear-dependent viscosities: The shear-thinning case. Zbl 1193.76019
Berselli, Luigi C.
15
2009
Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations. Zbl 1205.35186
Berselli, Luigi C.
14
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
4
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.
167
2006
On the existence and uniqueness of weak solutions for a vorticity seeding model. Zbl 1109.35085
Berselli, 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 1370.76065
Berselli, Luigi C.; John, Volker
7
2006
On the large eddy simulation of the Taylor-Green vortex. Zbl 1067.76049
Berselli, Luigi C.
15
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
2
2003
Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations. Zbl 1075.35031
Berselli, Luigi C.; Galdi, Giovanni P.
99
2002
On the regularizing effect of the vorticity direction in incompressible viscous flows. Zbl 1014.35072
Beirão da Veiga, Hugo; Berselli, Luigi C.
55
2002
On a regularity criterion for the solutions to the 3D Navier-Stokes equations. Zbl 1034.35087
Berselli, Luigi C.
24
2002
Vanishing viscosity limit and long-time behavior for 2D quasi-geostrophic equations. Zbl 1044.35055
Berselli, Luigi C.
20
2002
Mathematical analysis for the rational large eddy simulation model. Zbl 1023.76012
Berselli, Luigi C.; Galdi, Giovanni P.; Iliescu, Traian; Layton, William J.
11
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
5
2002
Linear perturbations of the Kirchhoff equation. Zbl 1125.35385
Berselli, Luigi C.; Manfrin, Renato
4
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
Remarks on determining projections for stochastic dissipative equations. Zbl 0952.35165
Berselli, Luigi C.; Flandoli, Franco
1
1999
On the magnetohydrodynamic type equations in a new class of non-cylindrical domains. Zbl 0942.76087
Berselli, Luigi C.; Ferreira, Jorge
1
1999
all top 5

Cited by 763 Authors

49 Berselli, Luigi Carlo
22 Beirão da Veiga, Hugo
22 Rebholz, Leo G.
19 Layton, William J.
19 Růžička, Michael
18 Iliescu, Traian
18 Neda, Monika
15 Fan, Jishan
13 Lewandowski, Roger
12 Bisconti, Luca
12 Gala, Sadek
12 San, Omer
11 Yang, Jiaqi
10 Liu, Qiao
10 Sin, Cholmin
10 Titi, Edriss Saleh
9 Catania, Davide
9 Dunca, Argus Adrian
9 Granero Belinchón, Rafael
9 Zhou, Yong
8 Chae, Dongho
8 John, Volker
8 Kukavica, Igor
8 Spirito, Stefano
8 Trenchea, Catalin
8 Wang, Yanqing
8 Wang, Zhu
7 Constantin, Peter
7 Crispo, Francesca
7 Grujić, Zoran
7 Kang, Kyungkeun
7 Kim, Jaemyoung
7 Manica, Carolina Cardoso
7 Matioc, Bogdan-Vasile
7 Ragusa, Maria Alessandra
6 Bae, Hyeong-Ohk
6 Diening, Lars
6 Gazzola, Filippo
6 Kaltenbach, Alex
6 Kim, Tae-Yeon
6 Maulik, Romit
6 Süli, Endre E.
6 Xiao, Yuelong
6 Ye, Yulin
6 Yu, Xinwei
5 Borggaard, Jeff T.
5 Chacón Rebollo, Tomás
5 Denaro, Filippo Maria
5 Fujimoto, Kōdai
5 Guo, Zhengguang
5 Lee, Jihoon
5 Li, Fucai
5 Neustupa, Jiří
5 Penel, Patrick
5 Turbin, Mikhail V.
5 Xin, Zhouping
5 Ziane, Mohammed
4 Ahlkrona, Josefin
4 Amrouche, Chérif
4 Baranovskiĭ, Evgeniĭ Sergeevich
4 Bessaih, Hakima
4 Breit, Dominic
4 Chorfi, Nejmeddine
4 Cordoba, Diego
4 Dong, Boqing
4 Grisanti, Carlo-Romano
4 Jia, Yan
4 Jiang, Nan
4 Jin, Bumja
4 Kindl, Adela
4 Larios, Adam
4 Mariano, Paolo Maria
4 Nakamura, Gen
4 Rojas-Medar, Marko Antonio
4 Rozza, Gianluigi
4 Takhirov, Aziz
4 Tran, Chuong V.
4 Wu, Fan
4 Zhang, Zujin
4 Zhong, Xin
3 Abdelwahed, Mohamed
3 Bae, Hantaek
3 Cao, Chongsheng
3 Connors, Jeffrey Mark
3 Falocchi, Alessio
3 Farhat, Aseel
3 Farwig, Reinhard
3 Flandoli, Franco
3 Fried, Eliot
3 Galdi, Giovanni Paolo
3 Gancedo, Francisco
3 Gómez Mármol, Macarena
3 Grasselli, Maurizio
3 Gubinelli, Massimiliano
3 Holm, Darryl Dallas
3 Ju, Ning
3 Kaya, Songul
3 Koc, Birgul
3 Labovsky, Alexander E.
3 Lube, Gert
...and 663 more Authors
all top 5

Cited in 187 Serials

42 Journal of Mathematical Fluid Mechanics
36 Journal of Mathematical Analysis and Applications
26 Journal of Differential Equations
23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Applied Mathematics Letters
16 Mathematical Methods in the Applied Sciences
14 Computer Methods in Applied Mechanics and Engineering
14 Journal of Computational Physics
13 Communications in Mathematical Physics
13 Nonlinearity
13 Nonlinear Analysis. Real World Applications
12 Computers & Mathematics with Applications
12 Applied Mathematics and Computation
10 Archive for Rational Mechanics and Analysis
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Chinese Annals of Mathematics. Series B
9 Journal of Computational and Applied Mathematics
9 Proceedings of the American Mathematical Society
9 SIAM Journal on Numerical Analysis
9 Numerical Methods for Partial Differential Equations
8 Journal of Mathematical Physics
8 Physica D
8 Journal of Scientific Computing
8 Advances in Nonlinear Analysis
7 Journal of Fluid Mechanics
7 Acta Applicandae Mathematicae
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Calculus of Variations and Partial Differential Equations
7 Discrete and Continuous Dynamical Systems. Series S
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
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Boundary Value Problems
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
5 Computers and Fluids
5 Journal of Statistical Physics
5 Mathematics of Computation
5 Numerische Mathematik
5 Applications of Mathematics
5 Journal of Nonlinear Science
5 NoDEA. Nonlinear Differential Equations and Applications
5 AIMS Mathematics
4 Applicable Analysis
4 Applied Numerical Mathematics
4 International Journal of Computer Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Journal of Evolution Equations
4 Discrete and Continuous Dynamical Systems. Series B
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Communications on Pure and Applied Analysis
4 S\(\vec{\text{e}}\)MA Journal
4 Evolution Equations and Control Theory
3 Advances in Mathematics
3 Journal of Functional Analysis
3 Mathematische Nachrichten
3 Rendiconti del Seminario Matematico della Università di Padova
3 Transactions of the American Mathematical Society
3 Asymptotic Analysis
3 Abstract and Applied Analysis
3 Journal of Turbulence
3 Computational Methods in Applied Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Advances in Mathematical Physics
3 SN Partial Differential Equations and Applications
2 International Journal for Numerical Methods in Fluids
2 Physica A
2 Annales Polonici Mathematici
2 Archiv der Mathematik
2 Mathematische Annalen
2 Quarterly of Applied Mathematics
2 Zeitschrift für Analysis und ihre Anwendungen
2 Revista Matemática Iberoamericana
2 Mathematical and Computer Modelling
2 Applied Mathematical Modelling
2 Communications in Partial Differential Equations
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
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 Milan Journal of Mathematics
2 Frontiers of Mathematics in China
2 Kinetic and Related Models
2 Advances in Numerical Analysis
2 Science China. Mathematics
2 Journal of Elliptic and Parabolic Equations
2 Mathematics in Engineering
2 Results in Applied Mathematics
2 Journal of Computational Physics: X
1 Acta Mechanica
...and 87 more Serials

Citations by Year