Kučera, Petr; Neustupa, Jiří On robustness of a strong solution to the Navier-Stokes equations with Navier’s boundary conditions in the \(L^3\)-norm. (English) Zbl 1367.35109 Nonlinearity 30, No. 4, 1564-1583 (2017). MSC: 35Q30 35B35 76D05 76E09 35B65 PDF BibTeX XML Cite \textit{P. Kučera} and \textit{J. Neustupa}, Nonlinearity 30, No. 4, 1564--1583 (2017; Zbl 1367.35109) 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 PDF BibTeX XML Cite \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
Komo, Christian Uniqueness criteria and strong solutions of the Boussinesq equations in completely general domains. (English) Zbl 1320.35282 Z. Anal. Anwend. 34, No. 2, 147-164 (2015). Reviewer: Cheng He (Beijing) MSC: 35Q35 76D03 35D35 35D30 PDF BibTeX XML Cite \textit{C. Komo}, Z. Anal. Anwend. 34, No. 2, 147--164 (2015; Zbl 1320.35282) 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 PDF BibTeX XML Cite \textit{R. Farwig}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 1, 91--122 (2014; Zbl 1304.35484) Full Text: DOI
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner Besov space regularity conditions for weak solutions of the Navier-Stokes equations. (English) Zbl 1291.35177 J. Math. Fluid Mech. 16, No. 2, 307-320 (2014). MSC: 35Q30 76D03 76D05 PDF BibTeX XML Cite \textit{R. Farwig} et al., J. Math. Fluid Mech. 16, No. 2, 307--320 (2014; Zbl 1291.35177) Full Text: DOI
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner Extensions of Serrin’s uniqueness and regularity conditions for the Navier-Stokes equations. (English) Zbl 1254.76053 J. Math. Fluid Mech. 14, No. 3, 529-540 (2012). MSC: 76D05 35Q30 PDF BibTeX XML Cite \textit{R. Farwig} et al., J. Math. Fluid Mech. 14, No. 3, 529--540 (2012; Zbl 1254.76053) Full Text: DOI
Han, Pigong Interior regularity of weak solutions to the perturbed Navier-Stokes equations. (English) Zbl 1265.35246 Appl. Math., Praha 57, No. 5, 427-444 (2012). Reviewer: Jiří Neústupa (Praha) MSC: 35Q30 76D05 35B65 PDF BibTeX XML Cite \textit{P. Han}, Appl. Math., Praha 57, No. 5, 427--444 (2012; Zbl 1265.35246) Full Text: DOI Link
Han, Pigong; He, Cheng Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. (English) Zbl 1256.35081 Math. Methods Appl. Sci. 35, No. 11, 1335-1355 (2012). MSC: 35Q35 35D30 35B65 PDF BibTeX XML Cite \textit{P. Han} and \textit{C. He}, Math. Methods Appl. Sci. 35, No. 11, 1335--1355 (2012; Zbl 1256.35081) Full Text: DOI
Han, Pigong Regularity of weak solutions to 3D incompressible Navier-Stokes equations. (English) Zbl 1239.35110 J. Evol. Equ. 10, No. 1, 195-204 (2010). MSC: 35Q30 35B65 76D03 76D05 35D30 PDF BibTeX XML Cite \textit{P. Han}, J. Evol. Equ. 10, No. 1, 195--204 (2010; Zbl 1239.35110) Full Text: DOI
Farwig, Reinhard; Sohr, Hermann On the existence of local strong solutions for the Navier-Stokes equations in completely general domains. (English) Zbl 1194.35306 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 6, 1459-1465 (2010). MSC: 35Q30 35B30 76D05 76D03 PDF BibTeX XML Cite \textit{R. Farwig} and \textit{H. Sohr}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 6, 1459--1465 (2010; Zbl 1194.35306) Full Text: DOI
Farwig, Reinhard; Komo, Christian Regularity of weak solutions to the Navier-Stokes equations in exterior domains. (English) Zbl 1189.76115 NoDEA, Nonlinear Differ. Equ. Appl. 17, No. 3, 303-321 (2010). MSC: 76D05 35Q30 35B65 PDF BibTeX XML Cite \textit{R. Farwig} and \textit{C. Komo}, NoDEA, Nonlinear Differ. Equ. Appl. 17, No. 3, 303--321 (2010; Zbl 1189.76115) 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 PDF BibTeX XML Cite \textit{L. C. Berselli}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 55, No. 2, 209--224 (2009; Zbl 1205.35186) Full Text: DOI
Farwig, Reinhard; Sohr, Hermann Optimal initial value conditions for the existence of local strong solutions of the Navier-Stokes equations. (English) Zbl 1173.35096 Math. Ann. 345, No. 3, 631-642 (2009). MSC: 35Q30 76D05 76D07 35D05 PDF BibTeX XML Cite \textit{R. Farwig} and \textit{H. Sohr}, Math. Ann. 345, No. 3, 631--642 (2009; Zbl 1173.35096) Full Text: DOI