Research papers (Reverse Chronological order)
105.
 | Luigi
C. Berselli and Stefanos Georgiadis,
Three results on the Energy conservation for the 3D Euler equations,
NoDEA
Nonlinear Differential Equations Appl., to appear.
arXiv:2307.04410
104.
| Luigi
C. Berselli François Legeais, and Roger Lewandowski,
Surface boundary layers through a scalar equation with an
eddy viscosity vanishing at the ground, To appear in ESAIM Math. Model. Numer. Anal.
hal-03877325
103.
| Luigi
C. Berselli,
On the vorticity direction and the regularity of 3D Navier-Stokes equations, Nonlinearity 36 (2023) 4303-4313.
doi:
10.1088/1361-6544/ace096
102.
| Luigi
C. Berselli, Energy conservation for weak
solutions of incompressible fluid equations: the Hölder case and
connections with Onsager's conjecture, J. Differential Equations 368, 350-375 (2023)
doi:10.1016/j.jde.2023.06.002
101.
| Luigi
C. Berselli,
Remarks on the ``Onsager singularity
theorem'' for Leray-Hopf weak solutions: the Hölder continuous
case, Mathematics 11 1062 (2023).
doi:10.3390/math11041062
100.
| Luigi
C. Berselli, Alex Kaltenbach, Roger Lewandowski, and Michael
Růžička,
On the existence of
weak solutions for a family of unsteady rotational Smagorinsky
models, Pure Appl. Funct. Anal. 8, 83--102 (2023).
online version
arXiv:2107.00236
99.
| Luigi
C. Berselli, and Stefano Spirito,
Convergence of
second-order in time numerical discretizations for the evolution
Navier-Stokes equations, Adv. Contin. Discrete Models 65 (2022) 65
doi:10.1186/s13662-022-03736-2
98.
| Luigi
C. Berselli and Michael
Růžička,
Natural second order regularity for systems in the case 1<p≤2 using the A-approximation, 3-37, In Carapau, F., Vaidya, A. (eds) Recent Advances in Mechanics and Fluid-Structure Interaction with Applications. Advances in Mathematical Fluid Mechanics (2022). Birkhäuser, Cham.
doi:10.1007/978-3-031-14324-3_1
97.
| Luigi
C. Berselli and Michael
Růžička,
Natural second-order regularity for parabolic systems with
stress
tensor with (p,δ)-structure and depending only on the
symmetric gradient,
Calc. Var. Partial Differential Equations. 61,
137 (2022) doi:10.1007/s00526-022-02247-y
96.
|
Luigi C. Berselli and Michael Růžička,
Space-time discretization for nonlinear parabolic systems
with p-structure, IMA J. Numer. Anal. 42 (2022)
260--299 doi:
10.1093/imanum/draa079
95.
| Luigi
C. Berselli, Alex Kaltenbach, and Michael
Růžička, Analysis of
fully discrete, quasi non-conforming approximations of evolution
equations and applications, Math. Models Methods
Appl. Sci. 31 (2021) 2297--2343
doi:10.1142/S0218202521500494
94.
|
Luigi C. Berselli and Michael Růžička,
Optimal error estimate for a space-time discretization for
incompressible generalized Newtonian fluids: The Dirichlet
problem, SN Partial Differ. Equ. Appl. 31 (2021) 2297--2343
doi:10.1007/s42985-021-00082-y
93.
|
Mohamed Abdelwahed, Luigi C. Berselli, and Nejmeddine Chorfi,
On the uniqueness for weak solutions of steady double-phase
fluids, Adv. Nonlinear Anal. 11 (2022) 454--468.
doi:10.1515/anona-2020-0196
92.
|
Luigi C. Berselli and Elisabetta Chiodaroli
Remarks On the energy equality for the 3D Navier--Stokes
equations, In: Bodnár T., Galdi G.P.,
Nečasová S. (eds) Waves in Flows, pp 91-107. Advances
in Mathematical Fluid Mechanics. Birkähuser, Cham.,
doi:10.1007/978-3-030-68144-9_3
91.
|
Luigi C. Berselli and Stefano Spirito,
On the existence of Leray-Hopf Weak
Solutions to the Navier-Stokes equations,
Fluids 6 (2021), 42
doi:10.3390/fluids6010042
90.
| Luigi
C. Berselli, Roger Lewandowski, and Dinh Duong Nguyen,
Rotational forms of Large Eddy Simulation turbulence models: modeling
and mathematical theory, Chin. Ann. Math. Ser. B 42 (2021),
1--24
doi:10.1007/s11401-021-0001-2
89.
|
Luigi C. Berselli and Dominic Breit
On the existence of weak solutions for
the steady Baldwin-Lomax model and generalizations,
J. Math. Anal. Appl. 501 (2021) 124643 doi:
10.1016/j.jmaa.2020.124633
88.
|
Luigi C. Berselli, Argus A. Dunca, Roger Lewandowski, and Dinh Duong Nguyen,
Modeling Error of α-Models of Turbulence on a Two-Dimensional Torus,
Discrete Contin. Dynam. Systems Series B 22 (2020), 4613--4643
doi:
10.3934/dcdsb.2020305
87.
Luigi C. Berselli and Placido Longo,
Classical solutions of the divergence
equation with Dini-continuous datum, J. Math. Fluid Mech. 22 (2020)
paper no. 26 doi:10.1007/s00021-020-0488-4
86.
Nejmeddine Chorfi, Mohamed Abdelwahed, and Luigi C. Berselli,
On the analysis of a geometrically selective turbulence model, Adv. Nonlinear Anal. 9 (2020) 1402--1419,
doi:10.1515/anona-2020-0057
85.
Cherif Amrouche, Luigi C. Berselli, Roger Lewandowski, and Dinh Duong Nguyen,
Turbulent flows as generalized
Kelvin-Voigt materials: modeling and analysis, Nonlinear
Anal. 196 (2020) 111790
doi:10.1016/j.na.2020
84.
Luigi C. Berselli and Michael Růžička,
On the regularity of
solution to the time-dependent p-Stokes system,
Opuscula Math. 40 (2020) 49--69.
doi:10.7494/OpMath.2020.40.1.49
83.
Luigi C. Berselli and Elisabetta Chiodaroli,
On the energy
equality for the 3D Navier--Stokes equations,
Nonlinear Anal. 192 (2020) 111704
doi:10.1016/j.na.2019.111704
82.
Luigi C. Berselli and Michael Růžička,
Global regularity for systems with p-structure
depending on the symmetric gradient,
Adv. Nonlinear Anal. 9 (2020) 176-192 MR3935869 doi:10.1515/anona-2018-0090
81.
Luigi C. Berselli and Roger Lewandowski,
On the Reynolds time-averaged equations and the
long-time behavior of Leray-Hopf weak solutions, with applications
to ensemble averages, Nonlinearity 32 (2019) 4579-4608,
doi:10.1088/1361-6544/ab32bc
80.
Luigi C. Berselli, Simone Fagioli, and Stefano
Spirito, Suitable weak solutions of the
Navier-Stokes equations constructed by a space-time numerical
discretization, J. Math. Pures Appl. (9) 125 (2019) 189-208
MR3944203
doi:10.1016/j.matpur.2018.09.004
79.
Luigi C. Berselli, Traian Iliescu, Birgul Koc, and Roger Lewandowski,
Long-Time Reynolds Averaging of Reduced Order
Models for Fluid Flows: Preliminary Results, Math. in
Engineering 2 (2019) 1-25
doi:
10.3934/mine.2020001
78.
Vieri Benci, Luigi C. Berselli and Carlo R. Grisanti,
The Caccioppoli ultrafunctions,
Adv. Nonlinear Anal. 9 (2018) 946-978 MR3918412
doi:
10.1515/anona-2017-0225
77.
Luigi C. Berselli and Davide Catania, A note on
the Euler--Voigt System in a 3D Bounded Domain: Propagation of
Singularities and Absence of the Boundary Layer, AIMS Mathematics,
4(1) (2019) 1--11.
doi:10.3934/Math.2019.1.1
76.
Luigi C. Berselli, David Wells, Traian
Iliescu, and Xuping Xie, Large Eddy
Simulation Reduced Order Models, pp.151--157 in Direct and
Large-Eddy Simulation XI. Springer Verlag. ERCOFTAC Series, Vol. 25
M.V.Salvetti et al. (Eds.) 2019 XXV, 551 p. 390 illus.
ISBN 978-3-030-04915-7
75.
Luigi C. Berselli and Placido Longo
Classical solutions for the system curl v=g,
with vanishing dirichlet boundary conditions, Discrete
Contin. Dynam. Systems Series S. 12 (2019) 215-229 MR3842318
doi:10.3934/dcdss.201901 5
74.
Luigi C. Berselli and Roger
Lewandowski, On the Bardina's model in the
whole space, J. Math. Fluid Mech. 20 (2018) 1335-1351
MR3841985
doi:
10.1007/s00021-018-0369-2
73.
Luigi C. Berselli and Stefano
Spirito, On the convergence of a fully
discrete scheme of LES type to physically relevant solutions of
the incompressible Navier-Stokes, Z. Angew. Math. Phys.69
(2018) 61, 15 pp. MR3799088
doi:
10.1007s00033-018-0955-4
72.
Luigi
C. Berselli, Weak solutions constructed by
semi-discretization are suitable: the case of slip boundary
conditions, Int. J. Numer. Anal. Model. 15 (2018), no. 4-5,
479-491 MR3789574
Journal link
71.
Luigi C. Berselli and Stefano
Spirito, On the construction of suitable
weak solutions to the 3D Navier-Stokes equations in a bounded
domain by an artificial compressibility,
Commun. Contemp. Math. 20 (2018), no. 1, 1650064, 16 pp. MR3714830
doi:10.1142/S0219199716500644
70.
Luigi C. Berselli and Michael
Růžička, Global
regularity properties of steady shear thinning flows,
J. Math Anal. Appl. 50 (2017) 839--871.
doi:
10.1016/j.jmaa.2017.01.016
69.
Luigi C. Berselli and Stefano Spirito,
Suitable weak solutions to the 3D Navier-Stokes
equations are constructed with the Voigt approximation,
J. Differential Equations, 262 (2017) 3285-3316.
doi:10.1016/j.jde.2016.11.027
68.
Luigi C. Berselli and Stefano
Spirito, Weak solutions to the Navier-Stokes
equations constructed by semi-discretization are suitable, in
Recent Advances in Partial Differential Equations and Applications,
85-97, Contemp. Math., 666 Amer. Math. Soc., Providence, RI, 2016.
doi:10.1090/conm/666/13243
67.
Luigi C. Berselli, Tae-Yeon Kim, and Leo
G. Rebholz, Analysis of a Reduced-Order
Approximate Deconvolution Model and its interpretation as a NS-Voigt
regularization, Discrete Contin. Dynam. Systems Series B 21
(2016) 1027-1050
doi:10.3934/dcdsb.2016.21.1027
66.
Luigi C. Berselli, Dominic Breit, and Lars
Diening, Convergence Analysis for a Finite Element Approximation
of a Steady Model for Electrorheological Fluids, Numer. Math. 132 (2016) 657-689
doi:10.1007/s00211-015-0735-4
65.
Matteo Cerminara, Tomaso Esposti Ongaro, and Luigi
C. Berselli,ASHEE: a compressible, equilibrium-Eulerian model for
volcanic ash plumes, Geosci. Model Dev. 9 (2016) 697-730
doi:10.5194/gmd-9-697-2016
64.
Luigi C. Berselli and Carlo R. Grisanti,
On the regularity up to the boundary for certain nonlinear elliptic equations,
Discrete Contin. Dynam. Systems Series S. 9 (2016) 51-71 doi:10.3934/dcdss.2016.9.53
63.
Luigi C. Berselli and Davide Catania, On
the Boussinesq equations with anisotropic filter in a vertical pipe, Dyn. Partial
Differ. Equ. 12 (2015) 177-192
doi:10.4310/DPDE.2015.v12.n2.a5
62.
Luigi C. Berselli, Matteo Cerminara, and
Traian Iliescu, Disperse two-phase flows, with
applications to geophysical problems, Pure Appl. Geophys. 172
(2015), 181-196
doi:10.1007/s00024-014-0889-5
61.
Luigi C. Berselli, Matteo Cerminara, Tomaso Esposti Ongaro,
and Maria Vittoria Salvetti, Direct numerical simulation of a
compressible multiphase flow through the Eulerian approach, pp. 639-647 in Direct
and Large-Eddy Simulation IX. Springer Verlag. ERCOFTAC Series, Vol. 20 J. Fröhlich,
H. Kuerten, B.J. Geurts, V. Armenio (Eds.) 2015, XX, 700 p. 401 illus. ISBN
978-3-319-14447-4
60.
Luigi C. Berselli, Lars Diening, and Michael
Růžička, Optimal error estimate for
semi-implicit space-time discretization for the equations describing
incompressible generalized Newtonian fluids, IMA J. Numer. Anal. 35
(2015), 680-697
doi:10.1093/imanum/dru008
59.
Luigi C. Berselli and Luca
Bisconti, On the Existence of
Almost-Periodic Solutions for the 2D Dissipative Euler
Equations, Rev. Mat. Iberoam. 31 (2015), 267-290.
doi:10.4171/RMI/833
58.
Luigi C. Berselli and Jishan
Fan, Logarithmic and improved regularity criteria a for the 3D
nematic liquid crystals models, Boussinesq system, and MHD equations in a bounded
domain, Commun. Pure Appl. Anal. 14 (2015) 637-655
doi:10.3934/cpaa.2015.14.637
57.
Luigi C. Berselli and Davide Catania, On
the well-posedness of the Boussinesq equations with anisotropic filter for turbulent
flows, ZAA-Z. Anal. Anwend 34 (2015), 61-83
doi:10.4171/ZAA/1529
56.
Luigi C. Berselli and Stefano Spirito, On
inviscid limits for the Navier-Stokes equations with slip boundary conditions involving
the vorticity, pp. 967-974, In: Hyperbolic Problems: Theory, Numerics,
Applications. (2014) F.Ancona, A.Bressan, P.Marcati, A.Marson Eds. (Proceedings of the
International Conference HYP2012), AIMS Appl. Math. Vol. 8 ISBN-13: 978-1-60133-017-8.
Publisher
web Page
55.
Luigi C. Berselli, Some results on the
two-dimensional dissipative Euler equations, pp. 322-332, In: Hyperbolic Problems:
Theory, Numerics, Applications. (2014) F.Ancona, A.Bressan, P.Marcati, A.Marson
Eds. (Proceedings of the International Conference HYP2012), AIMS Appl. Math. Vol. 8
ISBN-13: 978-1-60133-017-8.
Publisher
web Page
54.
Luigi C. Berselli, A Note on Strong Solutions to the
Stokes System, Acta Appl. Math. 134 (2014), 123-1341
doi:10.1007/s10440-014-9873-4
53.
Luigi C. Berselli, Diego Córdoba, and
Rafael Granero-Belinchon, Local solvability and
turning for the inhomogeneous Muskat problem, Interfaces Free
Boundaries. 16 (2014) 175-213
doi:10.4171/IFB/317
52.
Luigi C. Berselli and Stefano Spirito, An
elementary approach to inviscid limits for the 3D Navier-Stokes equations with slip
boundary conditions and applications to the 3D Boussinesq equations, NoDEA
Nonlinear Differential Equations Appl., 21 (2014) 149-166
doi:10.1088/0951-7715/26/4/103110.1007/s00030-013-0242-1
51.
Luigi C. Berselli, Barbara Mazzolai, Francesca Guerra, and
Edoardo Sinibaldi, Pulsatile Viscous Flows in Elliptical Vessels and
Annuli: Solution to the Inverse Problem, with Application to Blood and Cerebrospinal Fluid
Flow, SIAM J. Appl. Math. 74 (2014) 40-59.
doi:10.1137/120903385
50.
Luigi C. Berselli, Davide Catania, and
Roger Lewandowski, Existence and convergence of
an MHD approximate deconvolution model, ESAIM Proc. 39 (2013)
25-31
doi:10.1051/proc/201339004
49.
Luigi C. Berselli and Luca
Bisconti, An elementary proof of uniqueness of
the particle trajectories for solutions of a class of 2D
shear-thinning non-Newtonian fluids, Nonlinearity 26 (2013)
1031-1047
doi:10.1088/0951-7715/26/4/1031
48.
Luigi C. Berselli, Davide Catania, and
Roger Lewandowski, Convergence of approximate
deconvolution models to the mean Magnetohydrodynamics Equations:
Analysis of two models, J. Math. Anal. Appl. 401 (2013)
864-880
doi:10.1016/j.jmaa.2012.12.051
47.
Luigi C. Berselli, Piero Miloro, Arianna Menciassi, and Edoardo
Sinibaldi, Exact solution to the inverse Womersley problem for
pulsatile flows in cylindrical vessels, with application to magnetic particle
targeting, Appl. Math. Comput. 219 (2013) 5717-5729
doi:10.1016/j.amc.2012.11.071
46.
Luigi C. Berselli,
Towards fluid equations by Approximate
Deconvolution Models,in Partial differential equations and
fluid mechanics, 1-22, London Math. Soc. Lecture Note Ser. (402),
Cambridge Univ. Press, Cambridge, 2012, ISBN:9781107609259
Publisher
web Page
45.
Luigi C. Berselli and Stefano Spirito, On
the vanishing viscosity limit for the Navier-Stokes equations under slip boundary
conditions in general domains, Commun. Math. Phys., 316 (2012) 171-198.
doi:10.1007/s00220-012-1581-1
44.
Luigi C. Berselli and Marco Romito, On
Leray's problem for almost periodic flows, J. Math. Sci. Univ. Tokyo, 19 (2012)
69-130. Journal
link
43.
Luigi C. Berselli and Stefano Spirito, A
remark on the Euler equations in dimension two
Riv. Mat. Univ Parma, (3) 2012, 1-23. MR2976418 (Proceedings of the Intensive
Research Month on Hyperbolic Conservation Laws and Fluid Dynamics, Parma, Italy, February
1-28, 2010) Journal link
42. Liudmilla Belenki, Luigi C. Berselli, Lars
Diening, and Michael
Růžička, On the finite
element approximation of the p-Stokes system, SIAM J. Numer. Anal., 50
(2012), 373-397, MR2914267
doi:10.1137/10080436X
41. Luigi C. Berselli and Roger
Lewandowski, Convergence of approximate deconvolution models to the
mean Navier-Stokes equations, Ann. Inst. H. Poincaré Anal. Non
Linéaire, 29 (2012) 171-198,
doi:doi:10.1016/j.anihpc.2011.10.001
40. Luigi C. Berselli and Luca Bisconti, On
the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models,
Nonlinear Anal. 75 (2012), 117-130, MR2846786
doi:10.1016/j.na.2011.08.011
39. Luigi C. Berselli, Analysis of a Large
Eddy Simulation model based on anisotropic filtering, J. Math. Anal. Appl. 386
(2012), 149-170. MR2834874 (2012g:76089)
doi: 10.1016/j.jmaa.2011.07.044
38. Luigi C. Berselli and Stefano Spirito, On
the Boussinesq system: regularity criteria and singular limits, Methods
Appl. Anal. 18 (2011) 391-416. MR2965984
Journal link
37. Luigi C. Berselli, Paul F. Fischer, Traian Iliescu, and Tamay
Özgökmen, Horizontal Large Eddy Simulation of Stratified Mixing in a
Lock-Exchange System, J. Sci. Comput. 49 (2011), 3-17. MR2831668
doi:10.1007/s10915-011-9464-8
36. Luigi C. Berselli, Traian Iliescu, and Tamay
Özgökmen, Horizontal Approximate Deconvolution for Stratified Flows:
Analysis and Computations. In Quality and reliability of large-eddy simulations II,
399-410, ERCOFTAC Series vol. 16, Berlin, Springer,
2011. doi:10.1007/978-94-007-0231-8_36
35. Luigi
C. Berselli, Some results on the Navier-Stokes equations with Navier
boundary conditions, Riv. Mat. Univ Parma (8) 1 2010,
1-75. (Special volume with the proceedings of the seventh meeting on hyperbolic
conservation laws and fluid dynamics: recent results and research perspectives, SISSA,
Trieste Aug. 31, Sep. 4, 2009) MR2761078
(2012d:35267) Journal link
34.
Luigi C. Berselli and Franco
Flandoli, On a stochastic approach to eddy viscosity models for
turbulent flows, Contributions to current challenges in mathematical fluid
mechanics, Adv. Math. Fluid Mech., Birkhäuser, Basel, 2010,
55-81. ISBN
978-3-642-04067-2, MR2665025,
doi:10.1007/978-3-642-04068-9_5
33.
Luigi C. Berselli, 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. Discrete
Contin. Dynam. Systems Series S. 3 (2010),
199-219. MR2610559, doi:10.3934/dcdss.2010.3.199
32.
Luigi C. Berselli, Lars Diening, and Michael
Růžička, Existence of strong solutions for
incompressible fluids with shear dependent viscosities. J. Math. Fluid
Mech 12 (2010) 101-132. MR 2602916,
doi:10.1007/s00021-008-0277-y
31.
Luigi C. Berselli, Some
criteria concerning the vorticity and the problem of global regularity for the 3D
Navier-Stokes equations. Ann. Univ. Ferrara Sez. VII
Sci. Mat. 55 (2009), 209-224. MR 2563656,
doi:10.1007/s11565-009-0076-2
30. Luigi
C. Berselli, Some geometric constraints and the problem of global
regularity for the Navier-Stokes
equations. Nonlinearity 22 (2009),
2561-2581. MR2539768,
doi:10.1088/0951-7715/22/10/013
29.
Luigi C. Berselli and Diego
Córdoba, On the regularity of the solutions to the 3D Navier-Stokes
equations: a remark on the role of the helicity. C. R. Acad. Sci. Paris, Ser
I, 347 (2009), 613-618. MR 2532916,
doi:10.1016/j.crma.2009.02.003
28.
Luigi C. Berselli, Lars Dieining, and Michael
Růžička, Optimal error
estimates for a semi-implicit Euler scheme for incompressible fluids
with shear dependent viscosities. SIAM
J. Numer. Anal. 47 (2009), 2177-2202. MR
2519599, doi:10.1137/080720024
27.
Luigi C. Berselli,
On the W2,q-regularity of incompressible fluids with
shear-dependent viscosities: The shear thinning case. J. Math. Fluid Mech 11 (2009), 171-185. MR2516130,
doi:10.1007/s00021-008-0254-5
26.
Hugo Beirão da Veiga and Luigi C.
Berselli, Navier-Stokes equations: Green matrices, vorticity
direction, and regularity up to the boundary, J. Differential
Equations 246 (2009) 597-628. MR2468730,
doi:10.1016/j.jde.2008.02.043
25.
Luigi C. Berselli, Carlo R. Grisanti, and Volker
John, Analysis of commutation errors for functions with low
regularity, J. Comput. Appl. Math. 206 (2007),
1027-1045. MR2333730 (2009e:76094)
doi:10.1016/j.cam.2006.09.011
24.
David Barbato, Luigi C. Berselli, and Carlo
R. Grisanti, Analytical and numerical results for the Rational
Large Eddy Simulation model, J. Math. Fluid
Mech. 9 (2007), 44-74. MR2305825 (2009b:76080)
doi:10.1007/s00021-006-0191-0.
23.
Luigi C. Berselli and Massimiliano
Gubinelli, On the global evolution of vortex filaments, blobs, and
small loops in 3D ideal
flows, Comm. Math. Phys. 269 (2007),
693-713. MR2276358 (2007m:76027)
doi:10.1007/s00220-006-0142-x.
22.
Luigi C. Berselli and Volker
John, Asymptotic behavior of commutation errors and the divergence
of the Reynolds stress tensor near the wall in the turbulent channel
flow, Math. Meth. Appl. Sci., 29 (2006)
1709-1719. MR2248564(2008a:76071) doi:10.1002/mma.750
21.
Luigi C. Berselli and Marco
Romito, On the existence and uniqueness of weak solutions for a
vorticity seeding model, SIAM J. Math.
Anal. 37 (2006), 1780-1799. MR 2213394 (2007a:35115)
doi:10.1137/04061249X.
20.
LuigI C. Berselli, On the
Large Eddy Simulation of the Taylor-Green vortex, J. Math. Fluid
Mech. 7 (2005) S164-S191. MR2192847 (2006j:76072)
doi:10.1007/s00021-005-0152-z
19.
Luigi C. Berselli and Paolo
Guasoni, Some problems of shape optimization arising in stationary
fluid motion, Adv. Math. Sci. Appl., 14 (2004)
no. 1, 279-293. MR2083629 (2005d:49059)
Journal link
18.
Luigi C. Berselli and
Giovanni P. Galdi, On the space-time regularity
of C(0,T;Ln)-very
weak solutions to the Navier-Stokes equations, Nonlinear
Anal. 58 (2004), no. 5-6, 703-717. MR2078742
(2006b:35254) doi:10.1016/j.na.2005.05.034
Corrigendum: ibidem 63 (2005),
642.
17.
Luigi C. Berselli and Carlo
R. Grisanti, On the consistency of the Rational Large Eddy
Simulation model, Comput. Vis. Sci. 6 (2004),
75-82. MR2061268 (2005e:76055) doi:10.1007/s00791-003-0111-2
16.
Luigi C. Berselli and Renato
Manfrin, On a theorem by Sohr for the Navier-Stokes
equations, J. Evol. Equ 4 (2004), no. 1,
193-211. MR 2059302 (2005b:35216)
doi:10.1007/s00028-003-1135-2
15.
Luigi C. Berselli and Traian
Iliescu, A Higher Order Subfilter-Scale Model for Large Eddy
Simulation, J. Comput. Appl. Math. 159 (2003)
411-430. MR2005969 (2004f:76076)
doi:10.1016/S0377-0427(03)00544-2
14.
Luigi C. Berselli, Vanishing
viscosity limit and long-time behavior for 2D quasi-geostrophic equations, Indiana
Univ. Math. J. 51 (2002), no. 4, 905-930.
MR1947863 (2005c:35237)
doi:10.1512/iumj.2002.51.2075
13.
Luigi C. Berselli and Hakima Bessaih, Some results for the line vortex equation, Nonlinearity 15 (2002),
no. 6, 1729-1746. MR1938468 (2003m:76028) doi:10.1088/0951-7715/15/6/301
12.
Luigi C. Berselli, A note on
regularity of weak solutions of the Navier-Stokes equations in
Rn, Japan.
J. Math. (N.S.) 28 (2002), no. 1, 51-60. MR1933477
(2003i:35223) Journal link
11.
Luigi C. Berselli, Giovanni P. Galdi,
Traian Iliescu, and William J. Layton, Mathematical analysis
for the rational large eddy simulation model, Math. Models Methods
Appl. Sci. 12 (2002), no. 8, 1131-1152. MR1924604
(2003k:76077)
doi:10.1142/S0218202502002057
10.
Luigi C. Berselli and
Giovanni P. Galdi, Regularity criteria involving the pressure
for the weak solutions to the Navier-Stokes equations,
Proc. Amer. Math. Soc. 130 (2002), no. 12, 3585-3595
(electronic). MR1920038 (2003e:35240)
doi:10.1090/S0002-9939-02-06697-2
9.
Luigi C. Berselli, On a
regularity criterion for the solutions to the 3D Navier-Stokes equations,
Differential Integral Equations 15 (2002), no. 9,
1129-1137. MR1919765
(2003e:35249) Permanent link
8.
Hugo Beirão da Veiga and Luigi
C. Berselli, On the regularizing effect of the vorticity direction
in incompressible viscous flows, Differential Integral
Equations 15 (2002), no. 3, 345-356. MR1870646
(2002k:35248) Permanent link
7.
Luigi C. Berselli and Renato
Manfrin, Linear perturbations of the Kirchhoff equation,
Comput. Appl. Math. 19 (2000), no. 2, 157-178.
MR1994873 (2004c:35276) Journal link
doi:10.1007/s00028-003-1135-2
6.
Luigi C. Berselli and Fausto
Saleri, New substructuring domain decomposition methods for
advection-diffusion equations, J. Comput. Appl.
Math. 116 (2000), no. 2, 201-220. MR1750917
(2001d:65120)
doi:10.1016/S0377-0427(99)00317-9
5.
Luigi C. Berselli and Jorge
Ferreira, On the magnetohydrodynamic type equations in a new class
of non-cylindrical domains, Boll. Unione Mat. Ital. Sez. B
Artic. Ric. Mat. (8) 2 (1999), no. 2, 365-382. MR
1706576 (2000g:76109)
Journal link
4.
Luigi C. Berselli, Sufficient conditions
for the regularity of the solutions of the Navier-Stokes equations, Math. Methods
Appl. Sci. 22 (1999), no. 13, 1079-1085. MR1706110
(2000f:35111)
doi:10.1002/(SICI)1099-1476(19990910)22:13<1079::AID-MMA71>3.0.CO;2-4
3. Luigi C. Berselli and Franco
Flandoli, Remarks on determining projections for
stochastic dissipative equations, Discrete Contin. Dynam.
Systems 5 (1999), no. 1, 197-214.
MR1664501 (99i:35184)
doi:10.3934/dcds.1999.5.197
2. Luigi
C. Berselli, Remarks on the electrohydrodynamics
equations in a domain with moving boundary,
Bol. Soc. Parana. Mat. (2) 18 (1998),
no. 1-2, 87-105 (2000). MR1769797 (2001k:76096)
1. Luigi C. Berselli and Giovanni
Cimatti, A theorem of existence for the
equations of the Winslow’s effect Riv. Mat. Univ. Parma
(5) 6 (1997), 61-71 (1998). MR1632711
(99d:76005) Journal
link
Other papers
1.
Luigi C. Berselli and
Michael Růžička, Preface
of Progress in Fluid Mechanics, (Authors: Buckmaster, T.,
Canic, S., Constantin, P., Kiselev, A.A.) Lecture Notes in Mathematics
2272, 2020, ISBN 978-3-030-54898-8
2.
A. Alonso Rodriguez, L.C. Berselli, A. Morando, A.,P. Trebeschi,
Preface of the Special issue on "Fluid dynamics and electromagnetism: theory
and numerical approximation". Discrete Contin. Dyn. Syst. Ser. S 9
(2016), no. 1, i. MR3462259
3.
A. Sequeira, J.P. Dias,
A. Valli, A., P. Secchi, P.; L.C. Berselli, F. Crispo, Tributes to
Hugo Beirão de Veiga. Recent advances in partial differential
equations and applications, 1-22, Contemp. Math., 666,
Amer. Math. Soc., Providence, RI, (2016). MR3537455
4.
Luigi
C. Berselli, Intorno ad alcune questioni di
meccanica dei fluidi, (Italian), Resumé of the Ph.D.
Thesis, Boll. Unione Mat. Ital. Sez. A
Mat. Soc. Cult. (8) III-A (2000),
271--274.
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