| Publications | ||
|---|---|---|
| Deuring, P. | Ein Anfangs-Randwertproblem zu einem Diffusions-System mit Koppelung in den Diffusionstermen | Thèse de doctorat, Ludwig-Maximilians-Universität München, 1985 |
| Deuring, P. | An initial-boundary value problem for a certain density-dependent diffusion system Download | Math. Z. 194, 375-396 (1987) |
| Deuring, P., Wahl, W. von, Weidemaier, P. | Das lineare Stokes-System in R3. I. Vorlesungen über das Innenraumproblem Download | Bayreuth. Math. Schr. 27, 1-252 (1988) |
| Deuring, P., Wahl, W. von | Das lineare Stokes-System in R 3. II. Das Außenraumproblem Download | Bayreuth. Math. Schr. 28, 1-109 (1989) |
| Deuring, P. | A quasilinear parabolic initial-value problem with conormal boundary conditions Download | Boll. Un. Mat. Ital. 3-B, 953-982 (1989) |
| Deuring, P. |
An integral operator related to the Stokes system in
exterior domains
Download
Addendum Download |
Math. Methods Appl. Sci. 13, 323-333 (1990)
Math. Methods Appl. Sci. 14, 445 (1991) |
| Deuring, P. | The resolvent problem for the Stokes system in exterior domains: an elementary approach Download | Math. Methods Appl. Sci. 13, 335-349 (1990) |
| Deuring, P. | The Stokes system in exterior domains: Lp-estimates for small values of a resolvent parameter Download | J. Appl. Math. Phys. (ZAMP) 41, 829-842 (1990) |
| Deuring, P. | The Stokes-system in exterior domains: existence, uniqueness, and regularity of solutions in Lp-spaces Download | Comm. Partial Differential Equations 16, 1513-1528 (1991) |
| Deuring, P., Varnhorn, W. | Schauder estimates for the single layer potential in hydrodynamics | Math. Nachr. 157, 277-289 (1992) |
| Deuring, P. | The resolvent problem for the Stokes system in exterior domains: uniqueness and non-regularity in Hölder-spaces | Proc. Roy. Soc. Edinburgh Sect. A 122, 1-10 (1992) |
| Deuring, P., Varnhorn, W. | On strong solutions of Poisson's equation in Beppo Levi spaces | J. Appl. Math. Phys. (ZAMP) 43, 1023-1037 (1992) |
| Deuring, P. | The Stokes system in an infinite cone Download | Akademie Verlag, Berlin 1994 (267 p.) |
| Deuring, P., Wahl, W. von | Strong solutions of the Navier-Stokes system on Lipschitz bounded domains | Math. Nachr. 171, 111-148 (1995) |
| Deuring, P. | The Stokes system in 3D-Lipschitz domains: a survey of some recent results Download (copyright Pitman) | In: Chipot, M., Shafrir, I. (eds.): Progress in Partial Differential Equations: the Metz Surveys 4. Addison-Wesley Longman, Harlow, 1996 (Pitman Research Notes in Mathematics Series, vol. 345), p. 187-204 |
| Deuring, P. | Finite element methods for the Stokes system in three-dimensional exterior domains | Math. Methods Appl. Sci. 20, 245-269 (1997) |
| Deuring, P. | Numerical tests of an artificial boundary condition for exterior Stokes flow Download | In: Feistauer, M., Kozel, K., Rannacher, R. (eds.): Proceedings of the 3rd Summer Conference on Numerical Modelling in Continuum Mechanics, Prague, 1997. Matfyspress, Univerzity Karlovy, Prague, 1997, p. 227-235 |
| Deuring, P. | The 3D Stokes system in domains with conical boundary points Download | In: Heywood, J. G., Galdi, G. P., Rautmann, R., Solonnikov, V. A. (eds.): Theory of Navier-Stokes Equations. World Scientific, Singapore, 1998 (Series on Advances in Mathematics for Applied Sciences, vol. 47), p. 1-11 |
| Deuring, P. | A stable mixed finite element method on truncated exterior domains | RAIRO Math. Model. Numer. Anal. 32, 283-305 (1998) |
| Deuring, P. | Lp-theory for the Stokes system in 3D domains with conical boundary points | Indiana Univ. Math. J. 47, 11-47 (1998) |
| Altenbach, H., Deuring, P., Naumenko, K. | A system of ordinary and partial differential equations describing creep behaviour of thin-walled shells | ZAA 18 (1999), 1003-1030 |
| Deuring, P., Kračmar, S. | Artificial boundary conditions for the Oseen problem in 3D exterior domains Download | Anaysis 20 (2000), 65-90 |
| Deuring, P., Galdi, P. G. | On the asymptotic behavior of physical reasonable solutions to the stationary Navier-Stokes system in 3D exterior domains with zero velocity at infinity | J. Math. Fluid Mech. 2 (2000), 353-364 |
| Deuring, P. | Calculating Stokes flows around a sphere: comparison of artificial boundary conditions Download | Ann. Univ. Ferrara - Sezione VII - Sc. Mat. 46 (2000), 1-9 |
| Deuring, P. | The Stokes resolvent in 3D domains with conical boundary points: non-regularity in Lp-spaces Download | Advances Diff. Equ. 6 (2001), 175-228 |
| Deuring, P. | On H2-estimates of solutions to the Stokes system with an artificial boundary condition | J. Math. Fluid Mech. 4 (2002), 203-236 |
| Deuring, P. | Approximating exterior flows by flows on truncated exterior domains: piecewise polygonal artificial boundaries Download | In: Bemelmans, J., e.a. (eds.): Elliptic and Parabolic Problems. Proceedings of the 4th European Conference, Rolduc and Gaeta, 2001. World Scientific, Singapore, 2002, p. 364-376 |
| Calgaro, C., Deuring, P., Jennequin, D. | Computation of 3D exterior stationary incompressible Navier-Stokes flows with non-zero velocity at infinity Download | PAMM 3 (2003), 533-534 |
| Deuring, P., Kračmar, S. | Exterior stationary Navier-Stokes flows in 3D with non-zero velocity at infinity: approximation by flows in bounded domains | Math. Nachr. 269-270 (2004), 86-115 |
| Deuring, P. | Exterior stationary Navier-Stokes flows in 3D with nonzero velocity at infinity: asymptotic behaviour of the velocity and its gradient Download | IASME Transactions 6 (2005), 900-904 |
| Deuring, P. | Exterior stationary Navier-Stokes flows in 3D with non-zero velocity at infinity: spatial decay of the second derivatives of the velocity | Commun. Partial Diff. Equ. 30 (2005), 987-1020 |
| Deuring, P. | The single-layer potential associated with the time-dependent Oseen system Download | In: Proceedings of the 2006 IASME/WSEAS International Conference on Continuum Mechanics, Chalkida, Greeece, May 11-13, 2006, 117-125 (electronic; ''http://www.wseas.us/e-library/conferences/2006evia/papers/516-310.pdf'') |
| Deuring, P. | On volume potentials related to the time-dependent Oseen system Download | WSEAS Transactions on Math. 5 (2006), 252-259 |
| Calgaro, C., Deuring, P., Jennequin, D. | A preconditioner for generalized saddle point problems: applications to 3D stationary Navier-Stokes equations | Numer. Methods. Part. Diff. Equ. 22 (2006), 1289-1313 |
| Deuring, P. | Stability of a finite element method for 3D exterior stationary Navier-Stokes flows | Appl. of Math. 52 (2007), 59-94 |
| Deuring, P. | Eigenvalue estimates for a preconditioned Galerkin matrix arising from mixed finite element discretizations of viscous incompressible flows | J. Comp. Appl. Math. 205 (2007), 453-457 |
| Deuring, P. | A finite element method for 3D exterior Oseen flows: error estimates | SIAM J. Numer. Anal. 45 (2007), 1517-1543 |
| Deuring, P. | Resolvent estimates for a perturbed Oseen problem Download (copyright Birkhäuser) | In: Amann, H., e.a. (eds.): Functional Analysis and Evolution Equations. The Günter Lumer Volume. Birkhäuser, Basel, 2007, p. 171-186 |
| Deuring, P. | On boundary-driven time-dependent Oseen flows Download | Banach Center Publications 81 (2008), 119-132 |
| Deuring, P. | Eigenvalue bounds for the Schur complement with a pressure convection-diffusion preconditioner in incompressible flow computations | J. Comp. Appl. Math. 228 (2009), 444-457 |
| Deuring, P. | Spatial decay of time-dependent Oseen flows Download (copyright SIAM) | SIAM J. Math. Anal. 41 (2009), 886-922 |
| Deuring, P. | Finite element error estimates for 3D exterior incompressible flow with nonzero velocity at infinity | Numer. Math. 114 (2009), 233-270 |
| Deuring, P. | A potential-theoretic approach to the time-dependent Oseen system Download (copyright Springer) | In: Rannacher, R., Sequeira, A. (eds.): Advances in Mathematical Fluid Mechanics. Dedicated to Giovanni Paolo Galdi on the Occasion of his 60th Birthday. Springer, Berlin e. a., 2010, p. 191-214 |
| Deuring, P., Kračmar, S., Nečasová, Š. | A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies | Discrete Cont. Dynam. Syst. - Ser. S 3 (2010), 237-253 |
| Deuring, P., Neustupa, J. | An eigenvalue criterion for stability of a steady Navier-Stokes flow in IR3 | J. Math. Fluid Mech. 12 (2010), 202-242 |
| Deuring, P., Varnhorn, W. | On Oseen resolvent estimates | Diff. Int. Equat. 23 (2010), 1139-1149 |
| Deuring, P., Kračmar, S., Nečasová, Š. | On pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies Download (coyright SIAM) | SIAM J. Math. Anal. 43 (2011), 705-738 |
| Deuring, P., Mildner, M. | Error estimates for a finite element - finite volume discretization of reaction-diffusion equations | Applied Numer. Math. 61 (2011), 785-801 |
| Deuring, P., Kračmar, S., Nečasová, Š. | A linearized system describing stationary incompressible viscous flow around rotating and translating bodies: improved decay estimates of the velocity | Discrete Contin. Dynam. Syst. Supplements 2011 (2011), 251-261 |
| Deuring, P., Kračmar, S., Nečasová, Š. | 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 | J. Diff. Equ. 252 (2012), 459-476 |
| Deuring, P., Mildner, M. | Stability of a combined finite element - finite volume discretization of convection-diffusion equations | Numer. Meth. Partial Diff. Equ. 28 (2012), 402-424 |
| Deuring, P. | Pointwise spatial decay of time-dependent Oseen flows: the case of data with noncompact support | Discrete Cont. Dynam. Syst. - Ser. A 33 (2013), 2757-2776 |
| Deuring, P., Kračmar, S., Nečasová, Š. | Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity | J. Diff. Equ. 255 (2013), 1576-1606 |
| Deuring, P. | Spatial decay of time-dependent incompressible Navier-Stokes flows with nonzero velocity at infinity Download (coyright SIAM) | SIAM J. Math. Anal. 45 (2013), 1388-1421 |
| Deuring, P. | The Cauchy problem for the homogeneous time-dependent Oseen system in IR3: spatial decay of the velocity | Math. Bohemica 138 (2013), 299-324 |
| Deuring, P. | A representation formula for the velocity part of 3D time-dependent Oseen flows Download (copyright Springer) | J. Math. Fluid Mech. 16 (2014), 1-39 |
| Deuring, P., Kračmar, S., Nečasová, Š. | Linearized stationary incompressible flow around rotating and translating bodies - Leray solutions | Discrete Cont. Dynam. Syst. - Ser. S 7 (2014), 967-979 |
| Deuring, P., Eymard, R., Mildner, M. | L2-stability independent of diffusion for a finite element - finite volume discretization of a linear convection-diffusion equation | SIAM J. Numer. Anal. 53 (2015), 508-526 |
| Deuring, P. | Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains Download (copyright Springer) | J. Math. Fluid Mech. 17 (2015), 199-232 |
| Deuring, P., Kračmar, S., Nečasová, Š., Wittwer, P. | Decay estimates for linearized unsteady incompressible viscous flows around rotating and translating bodies | J. Elliptic Parabolic Equ. 1 (2015), 325-333 |
| Deuring, P., Galdi, G. P. | Exponential decay of the vorticity in the steady-state flow of a viscous liquid past a rotating body | Arch. Ration. Mech. Anal. 221 (2016), 183-213 |
| Deuring, P. | A finite element - finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions: error estimates | Numer. Meth. Partial Diff. Equ. 32 (2016), 1591-1621 |
| Deuring, P., Kračmar, S., Nečasová, Š. | A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation | Discrete Contin. Dynam. Syst. - Ser. A 37 (2017), 1389-1409 |
| Deuring, P., Eymard, R. | Stability of finite element - finite volume discretizations of convection-diffusion-reaction equations | ESAIM: Math. Model. Numer. Anal. 51 (2017), 919-947. |
| Deuring, P., Kračmar, S., Nečasová, Š. | Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity. | Z. Angew. Math. Phys. 68 (2017), article 16 (15 pages). |
| Deuring, P. | Oseen resolvent estimates with small resolvent parameter. | J. Diff. Equ. 265 (2018), 280-311. |
| Deuring, P. | Stability of stationary viscous incompressible flow around a rigid body performing a translation. | J. Math. Fluid Mech. 20 (2018), 937-967. |
| Deuring, P. | Pointwise decay in space and in time for incompressible viscous flow around a rigid body moving with constant velocity. | J. Math. Fluid Mech. 21 (2019), article 11 (35 pages). |
| Deuring, P., Kračmar, S., Nečasová, Š. | Artificial boundary conditions for linearized stationary incompressible viscous flow around rotating and translating body. | Math. Nachr. 294 (2021), 56-73. |
| Deuring, P. | The 3D time-dependent Oseen system: link between Lp-integrability in time and pointwise decay in space of the velocity. | J. Math. Fluid Mech. 23 (2021), article 46 (33 pages). |
| Deuring, P. | Spatial asymptotics of mild solutions to the time-dependent Oseen system. | Comm. Pure Appl. An. 20 (2021), 1833-1849. |
| Deuring, P. | Lp-estimates of the Stokes resolvent with nonhomogeneous Dirichlet boundary conditions in 3D exterior domains. | Math. Meth. Appl. Sci. 44 (2021), 13252-13272. |
| Deuring, P. | Time-dependent incompressible viscous flows around a rigid body: estimates of spatial decay independent of boundary conditions. | J. Diff. Equ. 335 (2022), 497-548. |
| Deuring, P. | Lq-weak solutions to the time-dependent Oseen system: decay estimates. | Math. Nachr. 296 (2023), 164-195. |