Deuring, Paul Time-dependent incompressible viscous flows around a rigid body: estimates of spatial decay independent of boundary conditions. (English) Zbl 1498.35384 J. Differ. Equations 335, 497-548 (2022). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 76D05 76D07 35D35 35B40 PDFBibTeX XMLCite \textit{P. Deuring}, J. Differ. Equations 335, 497--548 (2022; Zbl 1498.35384) Full Text: DOI
Deuring, P.; Kračmar, S.; Nečasová, Š. Artificial boundary conditions for linearized stationary incompressible viscous flow around rotating and translating body. (English) Zbl 1526.35260 Math. Nachr. 294, No. 1, 56-73 (2021). Reviewer: Changxing Miao (Beijing) MSC: 35Q30 76D03 76D05 76D07 76U05 74F10 PDFBibTeX XMLCite \textit{P. Deuring} et al., Math. Nachr. 294, No. 1, 56--73 (2021; Zbl 1526.35260) Full Text: DOI arXiv
Deuring, Paul Pointwise decay in space and in time for incompressible viscous flow around a rigid body moving with constant velocity. (English) Zbl 1420.35183 J. Math. Fluid Mech. 21, No. 1, Paper No. 11, 36 p. (2019). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 65N30 76D05 76D07 35B40 35R11 PDFBibTeX XMLCite \textit{P. Deuring}, J. Math. Fluid Mech. 21, No. 1, Paper No. 11, 36 p. (2019; Zbl 1420.35183) Full Text: DOI arXiv
Deuring, Paul Stability of stationary viscous incompressible flow around a rigid body performing a translation. (English) Zbl 1397.35169 J. Math. Fluid Mech. 20, No. 3, 937-967 (2018). MSC: 35Q30 76M10 65N30 76D05 76U05 76E99 PDFBibTeX XMLCite \textit{P. Deuring}, J. Math. Fluid Mech. 20, No. 3, 937--967 (2018; Zbl 1397.35169) Full Text: DOI HAL
Deuring, Paul Oseen resolvent estimates with small resolvent parameter. (English) Zbl 1394.35319 J. Differ. Equations 265, No. 1, 280-311 (2018). Reviewer: Il’ya Sh. Mogilevskii (Tver’) MSC: 35Q30 35P99 76D07 PDFBibTeX XMLCite \textit{P. Deuring}, J. Differ. Equations 265, No. 1, 280--311 (2018; Zbl 1394.35319) Full Text: DOI HAL
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{P. Deuring} et al., Discrete Contin. Dyn. Syst. 37, No. 3, 1389--1409 (2017; Zbl 1360.35142) Full Text: DOI
Deuring, Paul; Kračmar, Stanislav; Nečasová, Šarka; Wittwer, Peter Decay estimates for linearized unsteady incompressible viscous flows around rotating and translating bodies. (English) Zbl 1386.35325 J. Elliptic Parabol. Equ. 1, No. 2, 325-333 (2015). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{P. Deuring} et al., J. Elliptic Parabol. Equ. 1, No. 2, 325--333 (2015; Zbl 1386.35325) 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 PDFBibTeX XMLCite \textit{P. Deuring}, J. Math. Fluid Mech. 17, No. 2, 199--232 (2015; Zbl 1328.35149) Full Text: DOI
Deuring, Paul; Kracmar, Stanislav; Necasova, Sarka Leading terms of velocity and its gradient of the stationary rotational viscous incompressible flows with nonzero velocity at infinity. arXiv:1511.03916 Preprint, arXiv:1511.03916 [math.AP] (2015). MSC: 35Q30 65N30 76D05 BibTeX Cite \textit{P. Deuring} et al., ``Leading terms of velocity and its gradient of the stationary rotational viscous incompressible flows with nonzero velocity at infinity'', Preprint, arXiv:1511.03916 [math.AP] (2015) Full Text: arXiv OA License
Deuring, Paul A representation formula for the velocity part of 3D time-dependent Oseen flows. (English) Zbl 1307.35190 J. Math. Fluid Mech. 16, No. 1, 1-39 (2014). MSC: 35Q30 65N30 76D05 PDFBibTeX XMLCite \textit{P. Deuring}, J. Math. Fluid Mech. 16, No. 1, 1--39 (2014; Zbl 1307.35190) Full Text: DOI
Deuring, Paul The Cauchy problem for the homogeneous time-dependent Oseen system in \( \mathbb {R}^3 \): spatial decay of the velocity. (English) Zbl 1289.35244 Math. Bohem. 138, No. 3, 299-324 (2013). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 65N30 76D05 PDFBibTeX XMLCite \textit{P. Deuring}, Math. Bohem. 138, No. 3, 299--324 (2013; Zbl 1289.35244) Full Text: Link
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 PDFBibTeX XMLCite \textit{P. Deuring} et al., J. Differ. Equations 255, No. 7, 1576--1606 (2013; Zbl 1284.35306) Full Text: DOI
Deuring, Paul Spatial decay of time-dependent incompressible Navier-Stokes flows with nonzero velocity at infinity. (English) Zbl 1294.35059 SIAM J. Math. Anal. 45, No. 3, 1388-1421 (2013). MSC: 35Q30 65N30 76D05 35D35 35A15 76D07 35B40 PDFBibTeX XMLCite \textit{P. Deuring}, SIAM J. Math. Anal. 45, No. 3, 1388--1421 (2013; Zbl 1294.35059) Full Text: DOI
Deuring, Paul; Kračmar, Stanislav; Nečasová, Šárka A linearized system describing stationary incompressible viscous flow around rotating and translating bodies: improved decay estimates of the velocity and its gradient. (English) Zbl 1306.35083 Discrete Contin. Dyn. Syst. 2011, Suppl., 351-361 (2011). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{P. Deuring} et al., Discrete Contin. Dyn. Syst. 2011, 351--361 (2011; Zbl 1306.35083) Full Text: Link
Deuring, Paul; Kračmar, Stanislav; Nečasová, Šárka On pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies. (English) Zbl 1231.35143 SIAM J. Math. Anal. 43, No. 2, 705-738 (2011). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 65N30 76D05 35D30 PDFBibTeX XMLCite \textit{P. Deuring} et al., SIAM J. Math. Anal. 43, No. 2, 705--738 (2011; Zbl 1231.35143) Full Text: DOI
Deuring, Paul; Varnhorn, Werner On Oseen resolvent estimates. (English) Zbl 1240.35381 Differ. Integral Equ. 23, No. 11-12, 1139-1149 (2010). MSC: 35Q30 76D03 76D07 PDFBibTeX XMLCite \textit{P. Deuring} and \textit{W. Varnhorn}, Differ. Integral Equ. 23, No. 11--12, 1139--1149 (2010; Zbl 1240.35381)
Deuring, Paul; Kračmar, Stanislav; Nečasová, Šárka A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies. (English) Zbl 1193.35127 Discrete Contin. Dyn. Syst., Ser. S 3, No. 2, 237-253 (2010). MSC: 35Q30 65N30 76D05 74F10 35A08 PDFBibTeX XMLCite \textit{P. Deuring} et al., Discrete Contin. Dyn. Syst., Ser. S 3, No. 2, 237--253 (2010; Zbl 1193.35127) Full Text: DOI
Deuring, Paul Spatial decay of time-dependent Oseen flows. (English) Zbl 1189.35222 SIAM J. Math. Anal. 41, No. 3, 886-922 (2009). MSC: 35Q30 65N30 76D05 76M10 35C15 31B35 31B15 PDFBibTeX XMLCite \textit{P. Deuring}, SIAM J. Math. Anal. 41, No. 3, 886--922 (2009; Zbl 1189.35222) Full Text: DOI
Deuring, Paul Resolvent estimates for a perturbed Oseen problem. (English) Zbl 1161.35460 Amann, Herbert (ed.) et al., Functional analysis and evolution equations. The Günter Lumer volume. Basel: Birkhäuser (ISBN 978-3-7643-7793-9/hbk). 171-186 (2008). Reviewer: Rudolf Kodnár (Bratislava) MSC: 35Q30 35B35 76D05 76E09 PDFBibTeX XMLCite \textit{P. Deuring}, in: Functional analysis and evolution equations. The Günter Lumer volume. Basel: Birkhäuser. 171--186 (2008; Zbl 1161.35460)
Deuring, Paul Stability of a finite element method for 3D exterior stationary Navier-Stokes flows. (English) Zbl 1164.35455 Appl. Math., Praha 52, No. 1, 59-94 (2007). MSC: 35Q30 65N30 76D05 PDFBibTeX XMLCite \textit{P. Deuring}, Appl. Math., Praha 52, No. 1, 59--94 (2007; Zbl 1164.35455) Full Text: DOI EuDML Link
Deuring, Paul A finite element method for 3D exterior Oseen flows: error estimates. (English) Zbl 1148.35062 SIAM J. Numer. Anal. 45, No. 4, 1517-1543 (2007). MSC: 35Q30 65N30 76D07 76M10 65N15 PDFBibTeX XMLCite \textit{P. Deuring}, SIAM J. Numer. Anal. 45, No. 4, 1517--1543 (2007; Zbl 1148.35062) Full Text: DOI
Deuring, Paul Exterior stationary Navier-Stokes flows in 3D with nonzero velocity at infinity: asymptotic behavior of the second derivatives of the velocity. (English) Zbl 1121.35095 Commun. Partial Differ. Equations 30, No. 7, 987-1020 (2005). Reviewer: Igor Andrianov (Köln) MSC: 35Q30 76D05 76D07 PDFBibTeX XMLCite \textit{P. Deuring}, Commun. Partial Differ. Equations 30, No. 7, 987--1020 (2005; Zbl 1121.35095) Full Text: DOI
Deuring, Paul; Kračmar, Stanislav Exterior stationary Navier-Stokes flows in 3D with non-zero velocity at infinity: Approximation by flows in bounded domains. (English) Zbl 1050.35067 Math. Nachr. 269-270, 86-115 (2004). Reviewer: Alain Brillard (Mulhouse) MSC: 35Q30 76D05 76D07 35J55 PDFBibTeX XMLCite \textit{P. Deuring} and \textit{S. Kračmar}, Math. Nachr. 269--270, 86--115 (2004; Zbl 1050.35067) Full Text: DOI
Deuring, Paul On \(H^2\)-estimates of solutions to the Stokes system with an artificial boundary condition. (English) Zbl 1010.35082 J. Math. Fluid Mech. 4, No. 3, 203-236 (2002). MSC: 35Q30 76D07 35J55 PDFBibTeX XMLCite \textit{P. Deuring}, J. Math. Fluid Mech. 4, No. 3, 203--236 (2002; Zbl 1010.35082) Full Text: DOI
Deuring, Paul The Stokes resolvent in 3D domains with conical boundary points: nonregularity in \(L^ p\)-spaces. (English) Zbl 1038.35053 Adv. Differ. Equ. 6, No. 2, 175-228 (2001). Reviewer: Ramzet M. Dzhafarov (Donetsk) MSC: 35Q30 35J55 76D07 35B45 PDFBibTeX XMLCite \textit{P. Deuring}, Adv. Differ. Equ. 6, No. 2, 175--228 (2001; Zbl 1038.35053)
Deuring, P. The 3D Stokes systems in domains with conical boundary points. (English) Zbl 0943.35064 Heywood, J. G. (ed.) et al., Theory of the Navier-Stokes equations. Proceedings of the third international conference on the Navier-Stokes equations: theory and numerical methods, Oberwolfach, Germany, June 5-11, 1994. Singapore: World Scientific. Ser. Adv. Math. Appl. Sci. 47, 1-10 (1998). Reviewer: L.Debnath (Orlando) MSC: 35Q30 PDFBibTeX XMLCite \textit{P. Deuring}, Ser. Adv. Math. Appl. Sci. 47, 1--10 (1998; Zbl 0943.35064)
Deuring, P. The Stokes system in 3D-Lipschitz domains: A survey of recent results. (English) Zbl 0859.35089 Chipot, M. (ed.) et al., Progress in partial differential equations: the Metz surveys 4. Proceedings of the conference given at the University of Metz, France during the 1994-95 ‘Metz Days’. Harlow: Longman. Pitman Res. Notes Math. Ser. 345, 187-204 (1996). Reviewer: S.Balint (Timişoara) MSC: 35Q30 35-02 76D07 31B10 PDFBibTeX XMLCite \textit{P. Deuring}, Pitman Res. Notes Math. Ser. 345, 187--204 (1996; Zbl 0859.35089)
Deuring, Paul; von Wahl, Wolf Strong solutions of the Navier-Stokes system in Lipschitz bounded domains. (English) Zbl 0835.35109 Math. Nachr. 171, 111-148 (1995). Reviewer: A.Carabineanu (Bucureşti) MSC: 35Q30 31B10 35B65 PDFBibTeX XMLCite \textit{P. Deuring} and \textit{W. von Wahl}, Math. Nachr. 171, 111--148 (1995; Zbl 0835.35109) Full Text: DOI
Deuring, Paul The Stokes system in an infinite cone. (English) Zbl 0799.35177 Mathematical Research. 78. Berlin: Akademie Verlag. 267 p. (1994). Reviewer: J.Elschner (Berlin) MSC: 35Q30 31B10 35-02 47G10 PDFBibTeX XMLCite \textit{P. Deuring}, The Stokes system in an infinite cone. Berlin: Akademie Verlag (1994; Zbl 0799.35177)
Deuring, Paul The resolvent problem for the Stokes system in exterior domains: Uniqueness and non-regularity in Hölder spaces. (English) Zbl 0780.35074 Proc. R. Soc. Edinb., Sect. A 122, No. 1-2, 1-10 (1992). Reviewer: J.Bemelmans (Aachen) MSC: 35Q30 76D07 35B65 PDFBibTeX XMLCite \textit{P. Deuring}, Proc. R. Soc. Edinb., Sect. A, Math. 122, No. 1--2, 1--10 (1992; Zbl 0780.35074) Full Text: DOI
Deuring, Paul The Stokes-system in exterior domains: Existence, uniqueness, and regularity of solutions in \(L^ p\)-spaces. (English) Zbl 0745.35029 Commun. Partial Differ. Equations 16, No. 8-9, 1513-1528 (1991). Reviewer: A.A.Papin (Barnaul) MSC: 35Q30 76D07 35B65 45G05 42B10 31B10 PDFBibTeX XMLCite \textit{P. Deuring}, Commun. Partial Differ. Equations 16, No. 8--9, 1513--1528 (1991; Zbl 0745.35029) Full Text: DOI
Deuring, Paul The resolvent problem for the Stokes system in exterior domains: An elementary approach. (English) Zbl 0726.35099 Math. Methods Appl. Sci. 13, No. 4, 335-349 (1990). Reviewer: M.Wiegner (Bayreuth) MSC: 35Q30 35J45 PDFBibTeX XMLCite \textit{P. Deuring}, Math. Methods Appl. Sci. 13, No. 4, 335--349 (1990; Zbl 0726.35099) Full Text: DOI
Deuring, Paul An integral operator related to the Stokes system in exterior domains. (English) Zbl 0726.35098 Math. Methods Appl. Sci. 13, No. 4, 323-333 (1990). Reviewer: M.Wiegner (Bayreuth) MSC: 35Q30 45P05 35J45 PDFBibTeX XMLCite \textit{P. Deuring}, Math. Methods Appl. Sci. 13, No. 4, 323--333 (1990; Zbl 0726.35098) Full Text: DOI
Deuring, Paul The Stokes-system in exterior domains: \(L^ p\)-estimates for small values of a resolvent parameter. (English) Zbl 0738.35061 Z. Angew. Math. Phys. 41, No. 6, 829-842 (1990). Reviewer: A.A.Papin (Barnaul) MSC: 35Q30 76D07 47A25 45E05 PDFBibTeX XMLCite \textit{P. Deuring}, Z. Angew. Math. Phys. 41, No. 6, 829--842 (1990; Zbl 0738.35061) Full Text: DOI
Deuring, Paul; von Wahl, Wolf Das lineare Stokes-System in \({\mathbb{R}}^ 3\). II: Das Außenraumproblem. (The linear Stokes-system in \({\mathbb{R}}^ 3\). II: Exterior domains). (German) Zbl 0695.35147 Bayreuther Mathematische Schriften 28, 1-109 (1989). Reviewer: P.Deuring MSC: 35Q30 35J55 47B25 35B45 PDFBibTeX XML
Deuring, P.; von Wahl, W.; Weidemaier, P. Das lineare Stokes-System in \(R^ 3\). I: Vorlesungen über das Innenraumproblem. (The linear Stokes-system in \(R^ 3\). I: Lectures on the interior domain problem). (German) Zbl 0667.35059 Bayreuther Mathematische Schriften 27, 252 p. (1988). Reviewer: M.L.Mehra MSC: 35Q30 35B45 35Q99 76D05 35A05 35C15 35B65 35J40 PDFBibTeX XML