Chen, Qionglei; Zhang, Qi Energy equality of the weak solutions to Navier-Stokes equations in the multiplier spaces. (English) Zbl 1522.35358 Appl. Math. Lett. 146, Article ID 108814, 6 p. (2023). MSC: 35Q30 76D05 35D30 PDFBibTeX XMLCite \textit{Q. Chen} and \textit{Q. Zhang}, Appl. Math. Lett. 146, Article ID 108814, 6 p. (2023; Zbl 1522.35358) Full Text: DOI
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
Giang, N. V.; Khai, D. Q.; Tri, N. M. On the energy equality for weak solutions of the Navier-Stokes equations. (English) Zbl 1513.35424 Adv. Differ. Equ. Control Process. 29, 101-115 (2022). MSC: 35Q30 76D05 35D30 PDFBibTeX XMLCite \textit{N. V. Giang} et al., Adv. Differ. Equ. Control Process. 29, 101--115 (2022; Zbl 1513.35424) Full Text: DOI
Wang, Yanqing; Mei, Xue; Huang, Yike Energy equality of the 3D Navier-Stokes equations and generalized Newtonian equations. (English) Zbl 1493.35072 J. Math. Fluid Mech. 24, No. 3, Paper No. 65, 10 p. (2022). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 42B35 35L65 76D03 76D05 35A01 35D30 35B65 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Math. Fluid Mech. 24, No. 3, Paper No. 65, 10 p. (2022; Zbl 1493.35072) Full Text: DOI
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.; 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
Zhang, Zujin Remarks on the energy equality for the non-Newtonian fluids. (English) Zbl 1428.35412 J. Math. Anal. Appl. 480, No. 2, Article ID 123443, 9 p. (2019). MSC: 35Q35 76A05 35D30 76D05 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Math. Anal. Appl. 480, No. 2, Article ID 123443, 9 p. (2019; Zbl 1428.35412) Full Text: DOI
Kozono, Hideo; Terasawa, Yutaka; Wakasugi, Yuta Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains. (English) Zbl 1513.35429 J. Differ. Equations 265, No. 4, 1227-1247 (2018). MSC: 35Q30 35B53 35D30 76D05 PDFBibTeX XMLCite \textit{H. Kozono} et al., J. Differ. Equations 265, No. 4, 1227--1247 (2018; Zbl 1513.35429) Full Text: DOI arXiv
Leslie, Trevor M.; Shvydkoy, Roman The energy measure for the Euler and Navier-Stokes equations. (English) Zbl 1405.35141 Arch. Ration. Mech. Anal. 230, No. 2, 459-492 (2018). MSC: 35Q30 35B44 76D05 35R06 PDFBibTeX XMLCite \textit{T. M. Leslie} and \textit{R. Shvydkoy}, Arch. Ration. Mech. Anal. 230, No. 2, 459--492 (2018; Zbl 1405.35141) Full Text: DOI arXiv
Maremonti, Paolo A note on Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations. (English) Zbl 1394.35329 J. Math. Fluid Mech. 20, No. 2, 379-392 (2018). MSC: 35Q30 35B65 76D03 76D05 35D30 PDFBibTeX XMLCite \textit{P. Maremonti}, J. Math. Fluid Mech. 20, No. 2, 379--392 (2018; Zbl 1394.35329) Full Text: DOI arXiv
Leslie, Trevor M.; Shvydkoy, Roman Conditions implying energy equality for weak solutions of the Navier-Stokes equations. (English) Zbl 1387.76102 SIAM J. Math. Anal. 50, No. 1, 870-890 (2018). MSC: 76S05 35Q35 PDFBibTeX XMLCite \textit{T. M. Leslie} and \textit{R. Shvydkoy}, SIAM J. Math. Anal. 50, No. 1, 870--890 (2018; Zbl 1387.76102) Full Text: DOI arXiv
Farwig, Reinhard Jean Leray: Sur le mouvement d’un liquide visqueux emplissant l’espace. Acta Math. 63 (1934), 193–248. (English) Zbl 1373.76004 Jahresber. Dtsch. Math.-Ver. 119, No. 4, 249-272 (2017). MSC: 76-03 76D05 01A70 PDFBibTeX XMLCite \textit{R. Farwig}, Jahresber. Dtsch. Math.-Ver. 119, No. 4, 249--272 (2017; Zbl 1373.76004) Full Text: DOI
Farwig, Reinhard Local regularity results for the instationary Navier-Stokes equations based on Besov space type criteria. (English) Zbl 1336.35275 Amann, Herbert (ed.) et al., Recent developments of mathematical fluid mechanics. Proceedings of the international conference on mathematical fluid dynamics on the occasion of Yoshihiro Shibata’s 60th birthday, Nara, Japan, March, 5–9, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0938-2/hbk; 978-3-0348-0939-9/ebook). Advances in Mathematical Fluid Mechanics, 183-214 (2016). MSC: 35Q30 35B65 PDFBibTeX XMLCite \textit{R. Farwig}, in: Recent developments of mathematical fluid mechanics. Proceedings of the international conference on mathematical fluid dynamics on the occasion of Yoshihiro Shibata's 60th birthday, Nara, Japan, March, 5--9, 2013. Basel: Birkhäuser/Springer. 183--214 (2016; Zbl 1336.35275) Full Text: DOI
Farwig, Reinhard On regularity of weak solutions to the instationary Navier-Stokes system: a review on recent results. (English) Zbl 1304.35484 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 1, 91-122 (2014). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 35B65 76D05 76D03 35B44 35D30 35D35 PDFBibTeX XMLCite \textit{R. Farwig}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 1, 91--122 (2014; Zbl 1304.35484) Full Text: DOI
Dumas, Eric; Sueur, Franck On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations. (English) Zbl 1294.35094 Commun. Math. Phys. 330, No. 3, 1179-1225 (2014). MSC: 35Q35 35Q61 35D30 35B65 76W05 78A25 PDFBibTeX XMLCite \textit{E. Dumas} and \textit{F. Sueur}, Commun. Math. Phys. 330, No. 3, 1179--1225 (2014; Zbl 1294.35094) Full Text: DOI arXiv
Abe, Ken; Giga, Yoshikazu Analyticity of the Stokes semigroup in spaces of bounded functions. (English) Zbl 1288.35383 Acta Math. 211, No. 1, 1-46 (2013). MSC: 35Q35 PDFBibTeX XMLCite \textit{K. Abe} and \textit{Y. Giga}, Acta Math. 211, No. 1, 1--46 (2013; Zbl 1288.35383) Full Text: DOI