Kim, Dugyu \(L^r\)-results of the stationary Navier-Stokes flows around a rotating obstacle. (English) Zbl 07741474 Z. Angew. Math. Phys. 74, No. 5, Paper No. 187, 21 p. (2023). Reviewer: Matthias Täufer (Hagen) MSC: 35Q30 76D05 76D07 76U05 74F10 35D35 35D30 35A01 35A02 PDF BibTeX XML Cite \textit{D. Kim}, Z. Angew. Math. Phys. 74, No. 5, Paper No. 187, 21 p. (2023; Zbl 07741474) Full Text: DOI
Hishida, Toshiaki Spatial pointwise behavior of time-periodic Navier-Stokes flow induced by oscillation of a moving obstacle. (English) Zbl 1498.35389 J. Math. Fluid Mech. 24, No. 4, Paper No. 102, 26 p. (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76D05 35B10 35B05 35D30 35A02 PDF BibTeX XML Cite \textit{T. Hishida}, J. Math. Fluid Mech. 24, No. 4, Paper No. 102, 26 p. (2022; Zbl 1498.35389) Full Text: DOI arXiv
Galdi, Giovanni P.; Neustupa, Jiří Nonlinear spectral instability of steady-state flow of a viscous liquid past a rotating obstacle. (English) Zbl 1487.35290 Math. Ann. 382, No. 1-2, 357-382 (2022). MSC: 35Q30 35B35 47D60 76D05 76M60 PDF BibTeX XML Cite \textit{G. P. Galdi} and \textit{J. Neustupa}, Math. Ann. 382, No. 1--2, 357--382 (2022; Zbl 1487.35290) Full Text: DOI arXiv
Eiter, Thomas On the Stokes-type resolvent problem associated with time-periodic flow around a rotating obstacle. (English) Zbl 1490.76081 J. Math. Fluid Mech. 24, No. 2, Paper No. 52, 17 p. (2022). MSC: 76D07 76U05 47A10 35B10 76D05 35Q30 PDF BibTeX XML Cite \textit{T. Eiter}, J. Math. Fluid Mech. 24, No. 2, Paper No. 52, 17 p. (2022; Zbl 1490.76081) Full Text: DOI arXiv
Chen, Tuowei; Zhang, Yongqian A strong solution of Navier-Stokes equations with a rotation effect for isentropic compressible fluids. (English) Zbl 1513.35421 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 5, 1579-1605 (2021). MSC: 35Q30 76N10 76N15 76U05 PDF BibTeX XML Cite \textit{T. Chen} and \textit{Y. Zhang}, Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 5, 1579--1605 (2021; Zbl 1513.35421) Full Text: DOI
Hishida, Toshiaki An alternative proof of \(L^q-L^r\) estimates of the Oseen semigroup in higher dimensional exterior domains. (English) Zbl 1491.76022 SN Partial Differ. Equ. Appl. 2, No. 2, Paper No. 32, 12 p. (2021). MSC: 76D07 PDF BibTeX XML Cite \textit{T. Hishida}, SN Partial Differ. Equ. Appl. 2, No. 2, Paper No. 32, 12 p. (2021; Zbl 1491.76022) Full Text: DOI
Neustupa, Jiří Stability of a steady flow of an incompressible Newtonian fluid in an exterior domain. (English) Zbl 1479.76039 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., 239-263 (2021). MSC: 76E09 76D03 35Q30 76-02 PDF BibTeX XML Cite \textit{J. Neustupa}, in: Waves in flows. The 2018 Prague-sum workshop lectures, Prague, Czech Republic, August 27--31, 2018. Cham: Birkhäuser. 239--263 (2021; Zbl 1479.76039) Full Text: DOI
Chen, Tuowei; Zhang, Yongqian Initial boundary value problems for two-dimensional isentropic compressible Navier-Stokes equations with rotating effect terms. (English) Zbl 1486.35324 J. Math. Anal. Appl. 504, No. 2, Article ID 125430, 23 p. (2021). MSC: 35Q30 76N10 76U05 74F10 35B40 35D35 35A01 35A02 PDF BibTeX XML Cite \textit{T. Chen} and \textit{Y. Zhang}, J. Math. Anal. Appl. 504, No. 2, Article ID 125430, 23 p. (2021; Zbl 1486.35324) Full Text: DOI
Hishida, Toshiaki Decay estimates of gradient of a generalized Oseen evolution operator arising from time-dependent rigid motions in exterior domains. (English) Zbl 1446.35100 Arch. Ration. Mech. Anal. 238, No. 1, 215-254 (2020). MSC: 35Q30 76D05 76D07 76U05 35B40 76M60 PDF BibTeX XML Cite \textit{T. Hishida}, Arch. Ration. Mech. Anal. 238, No. 1, 215--254 (2020; Zbl 1446.35100) Full Text: DOI arXiv
Kim, Dugyu The energy equality and regularity results for the stationary Navier-Stokes equations on the exterior of a rotating obstacle. (English) Zbl 1421.35247 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 181, 119-140 (2019). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 35D30 35D35 76D07 35B65 76U05 PDF BibTeX XML Cite \textit{D. Kim}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 181, 119--140 (2019; Zbl 1421.35247) Full Text: DOI
Hishida, Toshiaki Large time behavior of a generalized Oseen evolution operator, with applications to the Navier-Stokes flow past a rotating obstacle. (English) Zbl 1405.35139 Math. Ann. 372, No. 3-4, 915-949 (2018). MSC: 35Q30 76D05 76U05 PDF BibTeX XML Cite \textit{T. Hishida}, Math. Ann. 372, No. 3--4, 915--949 (2018; Zbl 1405.35139) Full Text: DOI arXiv
Higaki, Mitsuo; Maekawa, Yasunori; Nakahara, Yuu On stationary Navier-Stokes flows around a rotating obstacle in two-dimensions. (English) Zbl 1392.35207 Arch. Ration. Mech. Anal. 228, No. 2, 603-651 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q30 76D05 35B40 35A01 35A02 76U05 PDF BibTeX XML Cite \textit{M. Higaki} et al., Arch. Ration. Mech. Anal. 228, No. 2, 603--651 (2018; Zbl 1392.35207) Full Text: DOI arXiv
Deuring, Paul; Kračmar, Stanislav; Nečasová, Šárka Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity. (English) Zbl 1367.35105 Z. Angew. Math. Phys. 68, No. 1, Paper No. 16, 15 p. (2017). MSC: 35Q30 65N30 76D05 76M10 PDF BibTeX XML Cite \textit{P. Deuring} et al., Z. Angew. Math. Phys. 68, No. 1, Paper No. 16, 15 p. (2017; Zbl 1367.35105) Full Text: DOI arXiv
Maekawa, Yasunori On stability of steady circular flows in a two-dimensional exterior disk. (English) Zbl 1371.35199 Arch. Ration. Mech. Anal. 225, No. 1, 287-374 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q30 76D05 76U05 35B35 76E07 33C10 PDF BibTeX XML Cite \textit{Y. Maekawa}, Arch. Ration. Mech. Anal. 225, No. 1, 287--374 (2017; Zbl 1371.35199) Full Text: DOI Link
Deuring, Paul; Kračmar, Stanislav; Nečasová, Šárka A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation. (English) Zbl 1360.35142 Discrete Contin. Dyn. Syst. 37, No. 3, 1389-1409 (2017). MSC: 35Q30 76D05 76M10 65N30 PDF BibTeX XML Cite \textit{P. Deuring} et al., Discrete Contin. Dyn. Syst. 37, No. 3, 1389--1409 (2017; Zbl 1360.35142) Full Text: DOI
Hishida, Toshiaki Asymptotic structure of steady Stokes flow around a rotating obstacle in two dimensions. (English) Zbl 1366.76024 Shibata, Yoshihiro (ed.) et al., Mathematical fluid dynamics, present and future. Tokyo, Japan, November 11–14, 2014. Tokyo: Springer (ISBN 978-4-431-56455-3/hbk; 978-4-431-56457-7/ebook). Springer Proceedings in Mathematics & Statistics 183, 95-137 (2016). MSC: 76D07 76U05 35Q30 PDF BibTeX XML Cite \textit{T. Hishida}, Springer Proc. Math. Stat. 183, 95--137 (2016; Zbl 1366.76024) Full Text: DOI arXiv
Galdi, Giovanni Paolo; Neustupa, Jiří Stability of steady flow past a rotating body. (English) Zbl 1374.35281 Shibata, Yoshihiro (ed.) et al., Mathematical fluid dynamics, present and future. Tokyo, Japan, November 11–14, 2014. Tokyo: Springer (ISBN 978-4-431-56455-3/hbk; 978-4-431-56457-7/ebook). Springer Proceedings in Mathematics & Statistics 183, 71-94 (2016). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 35B35 76D05 76E07 PDF BibTeX XML Cite \textit{G. P. Galdi} and \textit{J. Neustupa}, Springer Proc. Math. Stat. 183, 71--94 (2016; Zbl 1374.35281) Full Text: DOI
Shao, Shuguang; Wang, Shu; Xu, Wen-Qing; Han, Bin Global existence for the 2D Navier-Stokes flow in the exterior of a moving or rotating obstacle. (English) Zbl 1360.35149 Kinet. Relat. Models 9, No. 4, 767-776 (2016). MSC: 35Q30 35A01 35B65 53C35 76D05 PDF BibTeX XML Cite \textit{S. Shao} et al., Kinet. Relat. Models 9, No. 4, 767--776 (2016; Zbl 1360.35149) Full Text: DOI
Zhai, Cuili; Zhang, Ting Global existence and uniqueness theorem to 2-D incompressible non-resistive MHD system with non-equilibrium background magnetic field. (English) Zbl 1348.35207 J. Differ. Equations 261, No. 6, 3519-3550 (2016). Reviewer: Cheng He (Beijing) MSC: 35Q35 76W05 42B25 35B35 35A01 35A02 PDF BibTeX XML Cite \textit{C. Zhai} and \textit{T. Zhang}, J. Differ. Equations 261, No. 6, 3519--3550 (2016; Zbl 1348.35207) Full Text: DOI
Deuring, Paul; Galdi, Giovanni P. Exponential decay of the vorticity in the steady-state flow of a viscous liquid past a rotating body. (English) Zbl 1342.35244 Arch. Ration. Mech. Anal. 221, No. 1, 183-213 (2016). MSC: 35Q35 76U05 76D05 PDF BibTeX XML Cite \textit{P. Deuring} and \textit{G. P. Galdi}, Arch. Ration. Mech. Anal. 221, No. 1, 183--213 (2016; Zbl 1342.35244) Full Text: DOI
An, Rong; Li, Kai-tai Accuracy analysis of the boundary integral method for steady Navier-Stokes equations around a rotating obstacle. (English) Zbl 1338.76080 Acta Math. Appl. Sin., Engl. Ser. 32, No. 2, 529-536 (2016). MSC: 76M15 PDF BibTeX XML Cite \textit{R. An} and \textit{K.-t. Li}, Acta Math. Appl. Sin., Engl. Ser. 32, No. 2, 529--536 (2016; Zbl 1338.76080) Full Text: DOI
Nečasová, Šárka; Wolf, Joerg On the existence of global strong solutions to the equations modeling a motion of a rigid body around a viscous fluid. (English) Zbl 1332.35296 Discrete Contin. Dyn. Syst. 36, No. 3, 1539-1562 (2016). MSC: 35Q35 76D05 PDF BibTeX XML Cite \textit{Š. Nečasová} and \textit{J. Wolf}, Discrete Contin. Dyn. Syst. 36, No. 3, 1539--1562 (2016; Zbl 1332.35296) Full Text: DOI
Deuring, Paul; Krčmar, Stanislav; Nečasová, Šárka Linearized stationary incompressible flow around rotating and translating bodies – Leray solutions. (English) Zbl 1304.35536 Discrete Contin. Dyn. Syst., Ser. S 7, No. 5, 967-979 (2014). MSC: 35Q35 76D07 35J57 76U05 PDF BibTeX XML Cite \textit{P. Deuring} et al., Discrete Contin. Dyn. Syst., Ser. S 7, No. 5, 967--979 (2014; Zbl 1304.35536) Full Text: DOI
Kračmar, S.; Nečasová, Š.; Novotný, A. The motion of a compressible viscous fluid around rotating body. (English) Zbl 1302.35296 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 1, 189-208 (2014). MSC: 35Q30 76N10 35D30 PDF BibTeX XML Cite \textit{S. Kračmar} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 1, 189--208 (2014; Zbl 1302.35296) Full Text: DOI Link
Campiti, Michele; Galdi, Giovanni P.; Hieber, Matthias Global existence of strong solutions for \(2\)-dimensional Navier-Stokes equations on exterior domains with growing data at infinity. (English) Zbl 1292.76028 Commun. Pure Appl. Anal. 13, No. 4, 1613-1627 (2014). MSC: 76D03 35Q30 35B30 PDF BibTeX XML Cite \textit{M. Campiti} et al., Commun. Pure Appl. Anal. 13, No. 4, 1613--1627 (2014; Zbl 1292.76028) Full Text: DOI
Farwig, Reinhard; Guenther, Ronald B.; Thomann, Enrique A.; Nečasová, Šarka The fundamental solution of linearized nonstationary Navier-Stokes equations of motion around a rotating and translating body. (English) Zbl 1280.35087 Discrete Contin. Dyn. Syst. 34, No. 2, 511-529 (2014). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 35Q30 76D05 76D07 PDF BibTeX XML Cite \textit{R. Farwig} et al., Discrete Contin. Dyn. Syst. 34, No. 2, 511--529 (2014; Zbl 1280.35087) Full Text: DOI
de Almeida, Marcelo Fernandes; Ferreira, Lucas C. F. On the local solvability in Morrey spaces of the Navier-Stokes equations in a rotating frame. (English) Zbl 1306.76018 J. Math. Anal. Appl. 405, No. 2, 362-372 (2013). MSC: 76D05 35Q30 35Q35 PDF BibTeX XML Cite \textit{M. F. de Almeida} and \textit{L. C. F. Ferreira}, J. Math. Anal. Appl. 405, No. 2, 362--372 (2013; Zbl 1306.76018) Full Text: DOI
Deuring, Paul; Kračmar, Stanislav; Nečasová, Šárka Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity. (English) Zbl 1284.35306 J. Differ. Equations 255, No. 7, 1576-1606 (2013). MSC: 35Q30 65N30 76D05 35Q35 35A08 PDF BibTeX XML Cite \textit{P. Deuring} et al., J. Differ. Equations 255, No. 7, 1576--1606 (2013; Zbl 1284.35306) Full Text: DOI
Abada, Nadjet; Boulmezaoud, Tahar Z.; Kerdid, Nabil The Stokes flow around a rotating body in the whole space. (English) Zbl 1283.35071 J. Math. Soc. Japan 65, No. 2, 607-632 (2013). MSC: 35Q35 35Q30 76D03 76D07 35B65 35A01 PDF BibTeX XML Cite \textit{N. Abada} et al., J. Math. Soc. Japan 65, No. 2, 607--632 (2013; Zbl 1283.35071) Full Text: DOI Euclid
Geissert, Matthias; Götze, Karoline; Hieber, Matthias \(L^p\)-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids. (English) Zbl 1282.35273 Trans. Am. Math. Soc. 365, No. 3, 1393-1439 (2013). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 76A05 76D03 74F10 PDF BibTeX XML Cite \textit{M. Geissert} et al., Trans. Am. Math. Soc. 365, No. 3, 1393--1439 (2013; Zbl 1282.35273) Full Text: DOI
Neustupa, Tomáš The analysis of stationary viscous incompressible flow through a rotating radial blade machine, existence of a weak solution. (English) Zbl 1309.76054 Appl. Math. Comput. 219, No. 7, 3316-3322 (2012). MSC: 76D03 PDF BibTeX XML Cite \textit{T. Neustupa}, Appl. Math. Comput. 219, No. 7, 3316--3322 (2012; Zbl 1309.76054) 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
Heck, Horst; Kim, Hyunseok; Kozono, Hideo On the stationary Navier-Stokes flows around a rotating body. (English) Zbl 1241.35148 Manuscr. Math. 138, No. 3-4, 315-345 (2012). MSC: 35Q30 74F10 35A01 76D05 PDF BibTeX XML Cite \textit{H. Heck} et al., Manuscr. Math. 138, No. 3--4, 315--345 (2012; Zbl 1241.35148) Full Text: DOI
Deuring, Paul; Kračmar, Stanislav; Nečasová, Šárka Linearized stationary incompressible flow around rotating and translating bodies: asymptotic profile of the velocity gradient and decay estimate of the second derivatives of the velocity. (English) Zbl 1238.35097 J. Differ. Equations 252, No. 1, 459-476 (2012). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q35 76D05 74F10 PDF BibTeX XML Cite \textit{P. Deuring} et al., J. Differ. Equations 252, No. 1, 459--476 (2012; Zbl 1238.35097) Full Text: DOI
Hansel, Tobias On the Navier-Stokes equations with rotating effect and prescribed outflow velocity. (English) Zbl 1270.35345 J. Math. Fluid Mech. 13, No. 3, 405-419 (2011). MSC: 35Q30 76D05 76D03 PDF BibTeX XML Cite \textit{T. Hansel}, J. Math. Fluid Mech. 13, No. 3, 405--419 (2011; Zbl 1270.35345) Full Text: DOI arXiv
Hishida, Toshiaki On the relation between the large time behavior of the Stokes semigroup and the decay of steady Stokes flow at infinity. (English) Zbl 1247.35092 Escher, Joachim (ed.) et al., Parabolic problems. The Herbert Amann Festschrift. Based on the conference on nonlinear parabolic problems held in celebration of Herbert Amann’s 70th birthday at the Banach Center in Bȩdlewo, Poland, May 10–16, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0074-7/hbk; 978-3-0348-0075-4/ebook). Progress in Nonlinear Differential Equations and Their Applications 80, 343-355 (2011). MSC: 35Q30 76D07 PDF BibTeX XML Cite \textit{T. Hishida}, Prog. Nonlinear Differ. Equ. Appl. 80, 343--355 (2011; Zbl 1247.35092) Full Text: DOI
Galdi, Giovanni P.; Kyed, Mads Asymptotic behavior of a Leray solution around a rotating obstacle. (English) Zbl 1247.35168 Escher, Joachim (ed.) et al., Parabolic problems. The Herbert Amann Festschrift. Based on the conference on nonlinear parabolic problems held in celebration of Herbert Amann’s 70th birthday at the Banach Center in Bȩdlewo, Poland, May 10–16, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0074-7/hbk; 978-3-0348-0075-4/ebook). Progress in Nonlinear Differential Equations and Their Applications 80, 251-266 (2011). MSC: 35Q74 35Q30 74F10 76D05 35B40 PDF BibTeX XML Cite \textit{G. P. Galdi} and \textit{M. Kyed}, Prog. Nonlinear Differ. Equ. Appl. 80, 251--266 (2011; Zbl 1247.35168) Full Text: DOI
Farwig, Reinhard; Hishida, Toshiaki Leading term at infinity of steady Navier-Stokes flow around a rotating obstacle. (English) Zbl 1229.35173 Math. Nachr. 284, No. 16, 2065-2077 (2011). MSC: 35Q30 35B40 76D05 PDF BibTeX XML Cite \textit{R. Farwig} and \textit{T. Hishida}, Math. Nachr. 284, No. 16, 2065--2077 (2011; Zbl 1229.35173) Full Text: DOI
Farwig, Reinhard; Hishida, Toshiaki Asymptotic profile of steady Stokes flow around a rotating obstacle. (English) Zbl 1229.35172 Manuscr. Math. 136, No. 3-4, 315-338 (2011). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q30 35B40 35Q35 76D07 PDF BibTeX XML Cite \textit{R. Farwig} and \textit{T. Hishida}, Manuscr. Math. 136, No. 3--4, 315--338 (2011; Zbl 1229.35172) Full Text: DOI
Nečasová, Šárka; Schumacher, Katrin Strong solutions to the Stokes equations of a flow around a rotating body in weighted \(L^{q}\) spaces. (English) Zbl 1291.76081 Math. Nachr. 284, No. 13, 1701-1714 (2011). MSC: 76D03 35Q30 70E99 PDF BibTeX XML Cite \textit{Š. Nečasová} and \textit{K. Schumacher}, Math. Nachr. 284, No. 13, 1701--1714 (2011; Zbl 1291.76081) Full Text: DOI
Geissert, Matthias; Hansel, Tobias A non-autonomous model problem for the Oseen-Navier-Stokes flow with rotating effects. (English) Zbl 1229.35178 J. Math. Soc. Japan 63, No. 3, 1027-1037 (2011). Reviewer: Nicolae Pop (Baia Mare) MSC: 35Q30 76D03 76D05 PDF BibTeX XML Cite \textit{M. Geissert} and \textit{T. Hansel}, J. Math. Soc. Japan 63, No. 3, 1027--1037 (2011; Zbl 1229.35178) Full Text: DOI arXiv
Farwig, Reinhard; Nečasová, Šárka; Neustupa, Jiří Spectral analysis of a Stokes-type operator arising from flow around a rotating body. (English) Zbl 1223.35257 J. Math. Soc. Japan 63, No. 1, 163-194 (2011). Reviewer: Lluís Miquel García Raffi (València) MSC: 35Q35 35P99 47A10 76D07 PDF BibTeX XML Cite \textit{R. Farwig} et al., J. Math. Soc. Japan 63, No. 1, 163--194 (2011; Zbl 1223.35257) Full Text: DOI Link
Farwig, Reinhard; Neustupa, Jiří Spectral properties in \(L^q\) of an Oseen operator modelling fluid flow past a rotating body. (English) Zbl 1194.35324 Tohoku Math. J. (2) 62, No. 2, 287-309 (2010). MSC: 35Q35 35P05 76D07 35A22 PDF BibTeX XML Cite \textit{R. Farwig} and \textit{J. Neustupa}, Tôhoku Math. J. (2) 62, No. 2, 287--309 (2010; Zbl 1194.35324) Full Text: DOI
Kračmar, S.; Necasová, S.; Penel, P. \(L^q\)-approach of weak solutions to stationary rotating Oseen equations in exterior domains. (English) Zbl 1258.76058 Q. Appl. Math. 68, No. 3, 421-437 (2010). MSC: 76D05 35Q30 35Q35 PDF BibTeX XML Cite \textit{S. Kračmar} et al., Q. Appl. Math. 68, No. 3, 421--437 (2010; Zbl 1258.76058) Full Text: DOI Link
An, Rong; Li, Kaitai The boundary integral method for the linearized rotating Navier-Stokes equations in exterior domain. (English) Zbl 1425.35133 Appl. Math. Comput. 216, No. 9, 2671-2678 (2010). MSC: 35Q30 76M15 76M10 65N38 65N30 76D05 PDF BibTeX XML Cite \textit{R. An} and \textit{K. Li}, Appl. Math. Comput. 216, No. 9, 2671--2678 (2010; Zbl 1425.35133) Full Text: DOI
Kračmar, Stanislav; Nečasová, Šárka; Penel, Patrick Anisotropic \(L^2\)-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body. (English) Zbl 1186.35163 J. Math. Soc. Japan 62, No. 1, 239-268 (2010). MSC: 35Q35 35B45 76E07 76M30 PDF BibTeX XML Cite \textit{S. Kračmar} et al., J. Math. Soc. Japan 62, No. 1, 239--268 (2010; Zbl 1186.35163) Full Text: DOI
An, Rong; Li, Kaitai The boundary integral method for the steady rotating Navier-Stokes equations in exterior domain. I: The existence of solution. (English) Zbl 1355.76052 NoDEA, Nonlinear Differ. Equ. Appl. 17, No. 1, 95-108 (2010). MSC: 76M30 76U05 76D03 76D05 35Q30 35A01 PDF BibTeX XML Cite \textit{R. An} and \textit{K. Li}, NoDEA, Nonlinear Differ. Equ. Appl. 17, No. 1, 95--108 (2010; Zbl 1355.76052) Full Text: DOI
Farwig, Reinhard; Hishida, Toshiaki Asymptotic profiles of steady Stokes and Navier-Stokes flows around a rotating obstacle. (English) Zbl 1205.35191 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 55, No. 2, 263-277 (2009). MSC: 35Q30 35Q35 35B40 76D05 76D07 PDF BibTeX XML Cite \textit{R. Farwig} and \textit{T. Hishida}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 55, No. 2, 263--277 (2009; Zbl 1205.35191) Full Text: DOI
Silvestre, Ana L. Steady solutions with finite kinetic energy for a perturbed Navier-Stokes system in \(\mathbb R^3\). (English) Zbl 1181.35179 J. Differ. Equations 247, No. 7, 2124-2139 (2009). MSC: 35Q30 74F10 76D05 76D03 35D35 PDF BibTeX XML Cite \textit{A. L. Silvestre}, J. Differ. Equations 247, No. 7, 2124--2139 (2009; Zbl 1181.35179) Full Text: DOI
Hishida, Toshiaki; Shibata, Yoshihiro \(L_{p}-L_{q}\) estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle. (English) Zbl 1169.76015 Arch. Ration. Mech. Anal. 193, No. 2, 339-421 (2009). MSC: 76D03 35Q30 76U05 PDF BibTeX XML Cite \textit{T. Hishida} and \textit{Y. Shibata}, Arch. Ration. Mech. Anal. 193, No. 2, 339--421 (2009; Zbl 1169.76015) Full Text: DOI
Dintelmann, Eva; Geissert, Matthias; Hieber, Matthias Strong \(L^p\)-solutions to the Navier-Stokes flow past moving obstacles: The case of several obstacles and time-dependent velocity. (English) Zbl 1156.76016 Trans. Am. Math. Soc. 361, No. 2, 653-669 (2009). MSC: 76D03 35Q30 PDF BibTeX XML Cite \textit{E. Dintelmann} et al., Trans. Am. Math. Soc. 361, No. 2, 653--669 (2009; Zbl 1156.76016) Full Text: DOI
Cumsille, Patricio; Takahashi, Takéo Wellposedness for the system modelling the motion of a rigid body of arbitrary form in an incompressible viscous fluid. (English) Zbl 1174.35092 Czech. Math. J. 58, No. 4, 961-992 (2008). MSC: 35Q30 76D03 76D05 PDF BibTeX XML Cite \textit{P. Cumsille} and \textit{T. Takahashi}, Czech. Math. J. 58, No. 4, 961--992 (2008; Zbl 1174.35092) Full Text: DOI EuDML
Farwig, Reinhard; Neustupa, Jiří On the spectrum of a Stokes-type operator arising from flow around a rotating body. (English) Zbl 1126.35050 Manuscr. Math. 122, No. 4, 419-437 (2007). MSC: 35Q35 35P20 76D07 PDF BibTeX XML Cite \textit{R. Farwig} and \textit{J. Neustupa}, Manuscr. Math. 122, No. 4, 419--437 (2007; Zbl 1126.35050) Full Text: DOI
Galdi, Giovanni P.; Silvestre, Ana L. The steady motion of a Navier-Stokes liquid around a rigid body. (English) Zbl 1111.76010 Arch. Ration. Mech. Anal. 184, No. 3, 371-400 (2007). MSC: 76D03 35Q30 PDF BibTeX XML Cite \textit{G. P. Galdi} and \textit{A. L. Silvestre}, Arch. Ration. Mech. Anal. 184, No. 3, 371--400 (2007; Zbl 1111.76010) Full Text: DOI
Ortega, Jaime; Rosier, Lionel; Takahashi, Takéo On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid. (English) Zbl 1168.35038 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 1, 139-165 (2007). MSC: 35Q35 76B03 76D05 PDF BibTeX XML Cite \textit{J. Ortega} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 1, 139--165 (2007; Zbl 1168.35038) Full Text: DOI Numdam EuDML
Geissert, Matthias; Heck, Horst; Hieber, Matthias \(L^p\)-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle. (English) Zbl 1102.76015 J. Reine Angew. Math. 596, 45-62 (2006). MSC: 76D03 76D05 35Q30 35B65 44A10 76U05 PDF BibTeX XML Cite \textit{M. Geissert} et al., J. Reine Angew. Math. 596, 45--62 (2006; Zbl 1102.76015) Full Text: DOI
Hishida, Toshiaki \(L^q\) estimates of weak solutions to the stationary Stokes equations around a rotating body. (English) Zbl 1184.35241 J. Math. Soc. Japan 58, No. 3, 743-767 (2006). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76D03 76D07 PDF BibTeX XML Cite \textit{T. Hishida}, J. Math. Soc. Japan 58, No. 3, 743--767 (2006; Zbl 1184.35241) Full Text: DOI Euclid
Saal, Jürgen Maximal regularity for the Stokes system on noncylindrical space-time domains. (English) Zbl 1184.35247 J. Math. Soc. Japan 58, No. 3, 617-641 (2006). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76D03 PDF BibTeX XML Cite \textit{J. Saal}, J. Math. Soc. Japan 58, No. 3, 617--641 (2006; Zbl 1184.35247) Full Text: DOI Euclid
Farwig, Reinhard An \(L^q\)-analysis of viscous fluid flow past a rotating obstacle. (English) Zbl 1136.76340 Tohoku Math. J. (2) 58, No. 1, 129-147 (2006). MSC: 76D05 35C15 35Q35 76D99 76U05 PDF BibTeX XML Cite \textit{R. Farwig}, Tôhoku Math. J. (2) 58, No. 1, 129--147 (2006; Zbl 1136.76340) Full Text: DOI
Wiedl, Julian; Haller-Dintelmann, Robert Kolmogorov kernel estimates for the Ornstein–Uhlenbeck operator. (English) Zbl 1171.47302 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 4, No. 4, 729-748 (2005). MSC: 47D06 35K20 PDF BibTeX XML Cite \textit{J. Wiedl} and \textit{R. Haller-Dintelmann}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 4, No. 4, 729--748 (2005; Zbl 1171.47302) Full Text: EuDML
Galdi, Giovanni P.; Silvestre, Ana L. Strong solutions to the Navier-Stokes equations around a rotating obstacle. (English) Zbl 1081.35076 Arch. Ration. Mech. Anal. 176, No. 3, 331-350 (2005). MSC: 35Q30 76D03 76U05 35B45 PDF BibTeX XML Cite \textit{G. P. Galdi} and \textit{A. L. Silvestre}, Arch. Ration. Mech. Anal. 176, No. 3, 331--350 (2005; Zbl 1081.35076) Full Text: DOI
Hieber, Matthias; Sawada, Okihiro The Navier-Stokes equations on \(\mathbb R^n\) with linearly growing initial data. (English) Zbl 1072.35144 Arch. Ration. Mech. Anal. 175, No. 2, 269-285 (2005). MSC: 35Q30 76D03 47H20 PDF BibTeX XML Cite \textit{M. Hieber} and \textit{O. Sawada}, Arch. Ration. Mech. Anal. 175, No. 2, 269--285 (2005; Zbl 1072.35144) Full Text: DOI