Berselli, Luigi C. Energy conservation for weak solutions of incompressible fluid equations: the Hölder case and connections with Onsager’s conjecture. (English) Zbl 1520.35112 J. Differ. Equations 368, 350-375 (2023). Reviewer: Mitsuo Higaki (Kobe) MSC: 35Q30 35Q31 76D05 35D30 35B65 PDFBibTeX XMLCite \textit{L. C. Berselli}, J. Differ. Equations 368, 350--375 (2023; Zbl 1520.35112) Full Text: DOI arXiv
Berselli, Luigi Carlo; Chiodaroli, Elisabetta Remarks on the energy equality for the 3D Navier-Stokes equations. (English) Zbl 1485.35317 Bodnár, Tomáš (ed.) et al., Waves in flows. The 2018 Prague-sum workshop lectures, Prague, Czech Republic, August 27–31, 2018. Cham: Birkhäuser. Adv. Math. Fluid Mech., 91-107 (2021). Reviewer: Fatma Gamze Duzgun (Ankara) MSC: 35Q30 35D30 76D05 PDFBibTeX XMLCite \textit{L. C. Berselli} and \textit{E. Chiodaroli}, in: Waves in flows. The 2018 Prague-sum workshop lectures, Prague, Czech Republic, August 27--31, 2018. Cham: Birkhäuser. 91--107 (2021; Zbl 1485.35317) Full Text: DOI
Berselli, Luigi C.; Iliescu, Traian; Koc, Birgul; Lewandowski, Roger Long-time Reynolds averaging of reduced order models for fluid flows: Preliminary results. (English) Zbl 1511.76016 Math. Eng. (Springfield) 2, No. 1, 1-25 (2020). MSC: 76D05 35Q30 PDFBibTeX XMLCite \textit{L. C. Berselli} et al., Math. Eng. (Springfield) 2, No. 1, 1--25 (2020; Zbl 1511.76016) Full Text: DOI arXiv
Amrouche, Cherif; Berselli, Luigi C.; Lewandowski, Roger; Nguyen, Dinh Duong Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis. (English) Zbl 1434.76027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111790, 24 p. (2020). MSC: 76D05 35Q30 76F65 76D03 PDFBibTeX XMLCite \textit{C. Amrouche} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111790, 24 p. (2020; Zbl 1434.76027) Full Text: DOI arXiv
Chorfi, Nejmeddine; Abdelwahed, Mohamed; Berselli, Luigi C. On the analysis of a geometrically selective turbulence model. (English) Zbl 1437.35532 Adv. Nonlinear Anal. 9, 1402-1419 (2020). MSC: 35Q30 76F65 76D03 76D05 35B65 35D30 35D35 35A15 35B45 PDFBibTeX XMLCite \textit{N. Chorfi} et al., Adv. Nonlinear Anal. 9, 1402--1419 (2020; Zbl 1437.35532) Full Text: DOI
Berselli, Luigi C.; Chiodaroli, Elisabetta On the energy equality for the 3D Navier-Stokes equations. (English) Zbl 1437.35526 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111704, 24 p. (2020). MSC: 35Q30 35D30 76D05 PDFBibTeX XMLCite \textit{L. C. Berselli} and \textit{E. Chiodaroli}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111704, 24 p. (2020; Zbl 1437.35526) Full Text: DOI arXiv
Berselli, Luigi C.; Catania, Davide A note on the Euler-Voigt system in a 3D bounded domain: propagation of singularities and absence of the boundary layer. (English) Zbl 1427.35197 AIMS Math. 4, No. 1, 1-11 (2019). MSC: 35Q35 76F02 76B99 76D05 PDFBibTeX XMLCite \textit{L. C. Berselli} and \textit{D. Catania}, AIMS Math. 4, No. 1, 1--11 (2019; Zbl 1427.35197) Full Text: DOI
Berselli, Luigi C.; Lewandowski, Roger On the Reynolds time-averaged equations and the long-time behavior of Leray-Hopf weak solutions, with applications to ensemble averages. (English) Zbl 1423.76089 Nonlinearity 32, No. 11, 4579-4608 (2019). MSC: 76D05 76F05 PDFBibTeX XMLCite \textit{L. C. Berselli} and \textit{R. Lewandowski}, Nonlinearity 32, No. 11, 4579--4608 (2019; Zbl 1423.76089) Full Text: DOI arXiv
Berselli, Luigi C.; Kim, Tae-Yeon; Rebholz, Leo G. Analysis of a reduced-order approximate deconvolution model and its interpretation as a Navier-Stokes-Voigt regularization. (English) Zbl 1346.35157 Discrete Contin. Dyn. Syst., Ser. B 21, No. 4, 1027-1050 (2016). MSC: 35Q35 76F65 76D03 PDFBibTeX XMLCite \textit{L. C. Berselli} et al., Discrete Contin. Dyn. Syst., Ser. B 21, No. 4, 1027--1050 (2016; Zbl 1346.35157) Full Text: DOI arXiv
Berselli, Luigi C.; Spirito, Stefano An elementary approach to the inviscid limits for the 3D Navier-Stokes equations with slip boundary conditions and applications to the 3D Boussinesq equations. (English) Zbl 1304.35480 NoDEA, Nonlinear Differ. Equ. Appl. 21, No. 2, 149-166 (2014). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 35B25 35B30 76D05 PDFBibTeX XMLCite \textit{L. C. Berselli} and \textit{S. Spirito}, NoDEA, Nonlinear Differ. Equ. Appl. 21, No. 2, 149--166 (2014; Zbl 1304.35480) Full Text: DOI arXiv
Berselli, Luigi Carlo; Spirito, Stefano On the vanishing viscosity limit of 3D Navier-Stokes equations under slip boundary conditions in general domains. (English) Zbl 1254.35175 Commun. Math. Phys. 316, No. 1, 171-198 (2012). MSC: 35Q30 35D40 76D05 PDFBibTeX XMLCite \textit{L. C. Berselli} and \textit{S. Spirito}, Commun. Math. Phys. 316, No. 1, 171--198 (2012; Zbl 1254.35175) Full Text: DOI
Berselli, Luigi C. Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations. (English) Zbl 1205.35186 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 55, No. 2, 209-224 (2009). MSC: 35Q30 35B65 76D05 PDFBibTeX XMLCite \textit{L. C. Berselli}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 55, No. 2, 209--224 (2009; Zbl 1205.35186) Full Text: DOI
Beirão da Veiga, Hugo; Berselli, Luigi C. Navier-Stokes equations: Green’s matrices, vorticity direction, and regularity up to the boundary. (English) Zbl 1155.35067 J. Differ. Equations 246, No. 2, 597-628 (2009). MSC: 35Q30 35D10 76D05 76D03 76M30 PDFBibTeX XMLCite \textit{H. Beirão da Veiga} and \textit{L. C. Berselli}, J. Differ. Equations 246, No. 2, 597--628 (2009; Zbl 1155.35067) Full Text: DOI
Berselli, Luigi C.; Galdi, Giovanni P. Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations. (English) Zbl 1075.35031 Proc. Am. Math. Soc. 130, No. 12, 3585-3595 (2002). MSC: 35Q30 35B65 35D10 76D03 76D05 PDFBibTeX XMLCite \textit{L. C. Berselli} and \textit{G. P. Galdi}, Proc. Am. Math. Soc. 130, No. 12, 3585--3595 (2002; Zbl 1075.35031) Full Text: DOI