Zhang, Jiawen Global existence of strong solutions and Serrin-type blowup criterion for 3D combustion model in bounded domains. (English) Zbl 07766052 J. Math. Fluid Mech. 25, No. 4, Paper No. 86, 33 p. (2023). MSC: 76-XX PDF BibTeX XML Cite \textit{J. Zhang}, J. Math. Fluid Mech. 25, No. 4, Paper No. 86, 33 p. (2023; Zbl 07766052) Full Text: DOI arXiv
Cavallina, Lorenzo; Poggesi, Giorgio; Yachimura, Toshiaki Quantitative stability estimates for a two-phase Serrin-type overdetermined problem. (English) Zbl 1491.35296 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112919, 17 p. (2022). MSC: 35N25 35B35 35J25 35Q93 PDF BibTeX XML Cite \textit{L. Cavallina} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112919, 17 p. (2022; Zbl 1491.35296) Full Text: DOI arXiv
Neustupa, Jiří; Nečasová, Šárka; Kučera, Petr A pressure associated with a weak solution to the Navier-Stokes equations with Navier’s boundary conditions. (English) Zbl 1444.76041 J. Math. Fluid Mech. 22, No. 3, Paper No. 37, 20 p. (2020). MSC: 76D03 76D05 35Q30 PDF BibTeX XML Cite \textit{J. Neustupa} et al., J. Math. Fluid Mech. 22, No. 3, Paper No. 37, 20 p. (2020; Zbl 1444.76041) Full Text: DOI arXiv
Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan The Navier-Stokes equations with initial values in Besov spaces of type \(B^{-1+3/q}_{q,\infty}\). (English) Zbl 1390.35229 J. Korean Math. Soc. 54, No. 5, 1483-1504 (2017). MSC: 35Q30 35A02 76D03 76D05 35D35 35D30 35B65 PDF BibTeX XML Cite \textit{R. Farwig} et al., J. Korean Math. Soc. 54, No. 5, 1483--1504 (2017; Zbl 1390.35229) Full Text: DOI
Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan Initial values for the Navier-Stokes equations in spaces with weights in time. (English) Zbl 1364.35236 Funkc. Ekvacioj, Ser. Int. 59, No. 2, 199-216 (2016). MSC: 35Q30 76D05 35D30 35D35 PDF BibTeX XML Cite \textit{R. Farwig} et al., Funkc. Ekvacioj, Ser. Int. 59, No. 2, 199--216 (2016; Zbl 1364.35236) Full Text: DOI Link
Debbi, Latifa Well-posedness of the multidimensional fractional stochastic Navier-Stokes equations on the torus and on bounded domains. (English) Zbl 1335.60108 J. Math. Fluid Mech. 18, No. 1, 25-69 (2016). MSC: 60H15 35R60 35R11 PDF BibTeX XML Cite \textit{L. Debbi}, J. Math. Fluid Mech. 18, No. 1, 25--69 (2016; Zbl 1335.60108) Full Text: DOI arXiv
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
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner Necessary and sufficient conditions on local strong solvability of the Navier-Stokes system. (English) Zbl 1209.35096 Appl. Anal. 90, No. 1-2, 47-58 (2011). MSC: 35Q30 76D05 76D03 PDF BibTeX XML Cite \textit{R. Farwig} et al., Appl. Anal. 90, No. 1--2, 47--58 (2011; Zbl 1209.35096) Full Text: DOI
Han, Pigong Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains. (English) Zbl 1185.35164 Port. Math. (N.S.) 67, No. 1, 57-74 (2010). MSC: 35Q30 35B65 76D05 76D03 35D30 PDF BibTeX XML Cite \textit{P. Han}, Port. Math. (N.S.) 67, No. 1, 57--74 (2010; Zbl 1185.35164) Full Text: DOI Link
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann Energy-based regularity criteria for the Navier-Stokes equations. (English) Zbl 1185.35162 J. Math. Fluid Mech. 11, No. 3, 428-442 (2009). MSC: 35Q30 76D03 76D05 35B65 35D30 PDF BibTeX XML Cite \textit{R. Farwig} et al., J. Math. Fluid Mech. 11, No. 3, 428--442 (2009; Zbl 1185.35162) Full Text: DOI
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner On optimal initial value conditions for local strong solutions of the Navier-Stokes equations. (English) Zbl 1179.35210 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 55, No. 1, 89-110 (2009). MSC: 35Q30 76D05 PDF BibTeX XML Cite \textit{R. Farwig} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 55, No. 1, 89--110 (2009; Zbl 1179.35210) Full Text: DOI
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin’s condition. (English) Zbl 1154.35416 Rencławowicz, Joanna (ed.) et al., Parabolic and Navier-Stokes equations. Part 1. Proceedings of the confererence, Bȩdlewo, Poland, September 10–17, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 81, Pt. 1, 175-184 (2008). MSC: 35Q30 35D10 35B65 76D05 76D03 PDF BibTeX XML Cite \textit{R. Farwig} et al., Banach Cent. Publ. 81, 175--184 (2008; Zbl 1154.35416) Full Text: Link
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann Local in time regularity properties of the Navier-Stokes equations. (English) Zbl 1175.35100 Indiana Univ. Math. J. 56, No. 5, 2111-2131 (2007). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 76D05 35B65 PDF BibTeX XML Cite \textit{R. Farwig} et al., Indiana Univ. Math. J. 56, No. 5, 2111--2131 (2007; Zbl 1175.35100) Full Text: DOI
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data. (English) Zbl 1107.76022 J. Math. Soc. Japan 59, No. 1, 127-150 (2007). MSC: 76D03 35Q30 76D05 PDF BibTeX XML Cite \textit{R. Farwig} et al., J. Math. Soc. Japan 59, No. 1, 127--150 (2007; Zbl 1107.76022) Full Text: DOI
Bae, Hyeong-Ohk; Choe, Hi Jun; Kim, Do Wan Regularity and singularity of weak solutions to Ostwald-de Waele flows. (English) Zbl 0977.76005 J. Korean Math. Soc. 37, No. 6, 957-975 (2000). Reviewer: Valeriu Al.Sava (Iaşi) MSC: 76A05 35Q35 PDF BibTeX XML Cite \textit{H.-O. Bae} et al., J. Korean Math. Soc. 37, No. 6, 957--975 (2000; Zbl 0977.76005)
Beirão da Veiga, Hugo Concerning the regularity problem for the solutions of the Navier-Stokes equations. (English. Abridged French version) Zbl 0840.35075 C. R. Acad. Sci., Paris, Sér. I 321, No. 4, 405-408 (1995). MSC: 35Q30 35B65 PDF BibTeX XML Cite \textit{H. Beirão da Veiga}, C. R. Acad. Sci., Paris, Sér. I 321, No. 4, 405--408 (1995; Zbl 0840.35075)