He, Cheng; Li, Jing; Lü, Boqiang Global well-posedness and exponential stability of 3D Navier-Stokes equations with density-dependent viscosity and vacuum in unbounded domains. (English) Zbl 07326818 Arch. Ration. Mech. Anal. 239, No. 3, 1809-1835 (2021). MSC: 35Q30 35B 35Q 76D PDF BibTeX XML Cite \textit{C. He} et al., Arch. Ration. Mech. Anal. 239, No. 3, 1809--1835 (2021; Zbl 07326818) Full Text: DOI
Zhang, Jianlin; Qin, Yuming Exact solutions for the Cauchy problem to the 3D spherically symmetric incompressible Navier-Stokes equations. (English) Zbl 1438.35313 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 3, 778-790 (2018). MSC: 35Q30 35Q35 35D35 76N10 76N15 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{Y. Qin}, Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 3, 778--790 (2018; Zbl 1438.35313) Full Text: DOI
Okabe, Takahiro Space-time asymptotics of the two dimensional Navier-Stokes flow in the whole plane. (English) Zbl 1378.35225 J. Differ. Equations 264, No. 2, 728-754 (2018). MSC: 35Q30 76D05 35C20 35B40 30H10 PDF BibTeX XML Cite \textit{T. Okabe}, J. Differ. Equations 264, No. 2, 728--754 (2018; Zbl 1378.35225) Full Text: DOI
Jia, Yan; Xie, Qianqian; Dou, Hong Remarks on \(L^{2}\) decay of solutions for the third-grade non-Newtonian fluid flows in \(\mathbb{R}^{3}\). (English) Zbl 1379.35243 Bound. Value Probl. 2017, Paper No. 132, 10 p. (2017). MSC: 35Q35 76A05 76M25 PDF BibTeX XML Cite \textit{Y. Jia} et al., Bound. Value Probl. 2017, Paper No. 132, 10 p. (2017; Zbl 1379.35243) Full Text: DOI
Qin, Yuming; Zhang, Jianlin Asymptotic behavior of exact solutions for the Cauchy problem to the 3D cylindrically symmetric Navier-Stokes equations. (English) Zbl 1368.35210 Math. Methods Appl. Sci. 40, No. 12, 4538-4547 (2017). MSC: 35Q30 35Q35 35D35 76N10 76N15 PDF BibTeX XML Cite \textit{Y. Qin} and \textit{J. Zhang}, Math. Methods Appl. Sci. 40, No. 12, 4538--4547 (2017; Zbl 1368.35210) Full Text: DOI
Chang, Tongkeun; Jin, Bum Ja Pointwise decay estimate of Navier-Stokes flows in the half space with slowly decreasing initial value. (English) Zbl 1365.35104 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 157, 167-188 (2017). MSC: 35Q30 76D07 35B65 PDF BibTeX XML Cite \textit{T. Chang} and \textit{B. J. Jin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 157, 167--188 (2017; Zbl 1365.35104) Full Text: DOI
Chang, Tongkeun; Jin, Bum Ja Notes on the space-time decay rate of the Stokes flows in the half space. (English) Zbl 1364.35112 J. Differ. Equations 263, No. 1, 240-263 (2017). MSC: 35K15 76D07 35B40 PDF BibTeX XML Cite \textit{T. Chang} and \textit{B. J. Jin}, J. Differ. Equations 263, No. 1, 240--263 (2017; Zbl 1364.35112) Full Text: DOI
Weng, Shangkun Space-time decay estimates for the incompressible viscous resistive MHD and Hall-MHD equations. (English) Zbl 1347.35207 J. Funct. Anal. 270, No. 6, 2168-2187 (2016). Reviewer: Thomas Hagen (Memphis) MSC: 35Q35 76W05 PDF BibTeX XML Cite \textit{S. Weng}, J. Funct. Anal. 270, No. 6, 2168--2187 (2016; Zbl 1347.35207) Full Text: DOI
Han, Pigong Long-time behavior for Navier-Stokes flows in a two-dimensional exterior domain. (English) Zbl 1329.35250 J. Funct. Anal. 270, No. 3, 1091-1152 (2016). MSC: 35Q35 35B40 76D05 76D07 PDF BibTeX XML Cite \textit{P. Han}, J. Funct. Anal. 270, No. 3, 1091--1152 (2016; Zbl 1329.35250) Full Text: DOI
Deuring, Paul Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains. (English) Zbl 1328.35149 J. Math. Fluid Mech. 17, No. 2, 199-232 (2015). MSC: 35Q30 65N30 76D05 35D30 PDF BibTeX XML Cite \textit{P. Deuring}, J. Math. Fluid Mech. 17, No. 2, 199--232 (2015; Zbl 1328.35149) Full Text: DOI
Han, Pigong Decay results of higher-order norms for the Navier-Stokes flows in 3D exterior domains. (English) Zbl 1309.35054 Commun. Math. Phys. 334, No. 1, 397-432 (2015). MSC: 35Q30 76D05 35B65 PDF BibTeX XML Cite \textit{P. Han}, Commun. Math. Phys. 334, No. 1, 397--432 (2015; Zbl 1309.35054) Full Text: DOI
Zhao, Caidi; Liang, Yunyun; Zhao, Min Upper and lower bounds of time decay rate of solutions to a class of incompressible third grade fluid equations. (English) Zbl 1297.35194 Nonlinear Anal., Real World Appl. 15, 229-238 (2014). MSC: 35Q35 35Q79 35D30 76A05 PDF BibTeX XML Cite \textit{C. Zhao} et al., Nonlinear Anal., Real World Appl. 15, 229--238 (2014; Zbl 1297.35194) Full Text: DOI
Han, Pigong Decay rates for the incompressible Navier-Stokes flows in 3D exterior domains. (English) Zbl 1256.35058 J. Funct. Anal. 263, No. 10, 3235-3269 (2012). MSC: 35Q30 35D35 76D05 76D07 PDF BibTeX XML Cite \textit{P. Han}, J. Funct. Anal. 263, No. 10, 3235--3269 (2012; Zbl 1256.35058) Full Text: DOI
He, Cheng; Wang, Lizhen Weighted \(L^p\)-estimates for Stokes flow in \(\mathbb R_+^n\) with applications to the non-stationary Navier-Stokes flow. (English) Zbl 1219.35171 Sci. China, Math. 54, No. 3, 573-586 (2011). MSC: 35Q30 76D05 35B40 PDF BibTeX XML Cite \textit{C. He} and \textit{L. Wang}, Sci. China, Math. 54, No. 3, 573--586 (2011; Zbl 1219.35171) Full Text: DOI
Jia, Yan; Zhang, Xingwei; Dong, Bo-Qing The asymptotic behavior of solutions to three-dimensional Navier-Stokes equations with nonlinear damping. (English) Zbl 1216.35088 Nonlinear Anal., Real World Appl. 12, No. 3, 1736-1747 (2011). MSC: 35Q30 35B35 35B40 76D05 76D03 PDF BibTeX XML Cite \textit{Y. Jia} et al., Nonlinear Anal., Real World Appl. 12, No. 3, 1736--1747 (2011; Zbl 1216.35088) Full Text: DOI
Jin, Bum Ja Weighted \(L^q-L^1\) estimate of the Stokes flow in the half space. (English) Zbl 1182.35181 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 2, 1031-1043 (2010). MSC: 35Q30 76D07 76D03 35B45 PDF BibTeX XML Cite \textit{B. J. Jin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 2, 1031--1043 (2010; Zbl 1182.35181) Full Text: DOI
Bae, Hyeong-Ohk; Brandolese, Lorenzo; Jin, Bum Ja Asymptotic behavior for the Navier-Stokes equations with nonzero external forces. (English) Zbl 1238.76015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e292-e302 (2009). MSC: 76D05 35Q30 76D07 PDF BibTeX XML Cite \textit{H.-O. Bae} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e292--e302 (2009; Zbl 1238.76015) Full Text: DOI
Bae, Hyeong-Ohk; Brandolese, Lorenzo On the effect of external forces on incompressible fluid motions at large distances. (English) Zbl 1205.76073 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 55, No. 2, 225-238 (2009). MSC: 76D05 35Q30 35B40 PDF BibTeX XML Cite \textit{H.-O. Bae} and \textit{L. Brandolese}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 55, No. 2, 225--238 (2009; Zbl 1205.76073) Full Text: DOI
He, Cheng; Miyakawa, Tetsuro On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain. (English) Zbl 1162.35061 J. Differ. Equations 246, No. 6, 2355-2386 (2009). MSC: 35Q30 76D05 PDF BibTeX XML Cite \textit{C. He} and \textit{T. Miyakawa}, J. Differ. Equations 246, No. 6, 2355--2386 (2009; Zbl 1162.35061) Full Text: DOI
Dong, Bo-Qing Time decay rates of the isotropic non-Newtonian flows in \(\mathbb R^{n}\). (English) Zbl 1115.35106 Acta Math. Appl. Sin., Engl. Ser. 23, No. 1, 99-106 (2007). Reviewer: Igor Andrianov (Köln) MSC: 35Q35 76A05 35B40 PDF BibTeX XML Cite \textit{B.-Q. Dong}, Acta Math. Appl. Sin., Engl. Ser. 23, No. 1, 99--106 (2007; Zbl 1115.35106) Full Text: DOI
Bae, Hyeong-Ohk Temporal decays in \(L^1\) and \(L^{\infty}\) for the Stokes flow. (English) Zbl 1091.35055 J. Differ. Equations 222, No. 1, 1-20 (2006). Reviewer: Jens Rademacher (Berlin) MSC: 35Q30 76D03 35B40 76D07 PDF BibTeX XML Cite \textit{H.-O. Bae}, J. Differ. Equations 222, No. 1, 1--20 (2006; Zbl 1091.35055) Full Text: DOI
Bae, Hyeong-Ohk Temporal and spatial decays for the Navier-Stokes equations. (English) Zbl 1224.35308 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, e2103-e2112 (2005). MSC: 35Q30 35B40 35B45 76D05 PDF BibTeX XML Cite \textit{H.-O. Bae}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5--7, e2103--e2112 (2005; Zbl 1224.35308) Full Text: DOI
Bae, Hyeong-Ohk; Jin, Bum Ja Upper and lower bounds of temporal and spatial decays for the Navier-Stokes equations. (English) Zbl 1062.35058 J. Differ. Equations 209, No. 2, 365-391 (2005). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35Q30 35B40 76N10 PDF BibTeX XML Cite \textit{H.-O. Bae} and \textit{B. J. Jin}, J. Differ. Equations 209, No. 2, 365--391 (2005; Zbl 1062.35058) Full Text: DOI
Brandolese, Lorenzo Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations. (English) Zbl 1057.35026 Rev. Mat. Iberoam. 20, No. 1, 223-256 (2004). Reviewer: Uwe Kähler (Aveiro) MSC: 35Q30 35B40 76D05 PDF BibTeX XML Cite \textit{L. Brandolese}, Rev. Mat. Iberoam. 20, No. 1, 223--256 (2004; Zbl 1057.35026) Full Text: DOI EuDML
Brandolese, Lorenzo; Meyer, Yves On the instantaneous spreading for the Navier-Stokes system in the whole space. (English) Zbl 1080.35063 ESAIM, Control Optim. Calc. Var. 8, 273-285 (2002). MSC: 35Q30 35B40 76D05 76D03 PDF BibTeX XML Cite \textit{L. Brandolese} and \textit{Y. Meyer}, ESAIM, Control Optim. Calc. Var. 8, 273--285 (2002; Zbl 1080.35063) Full Text: DOI Numdam EuDML