Paul Deuring
- Grade : Professeur
- Equipe : Analyse
- Adresse : LMPA
Centre Universitaire de la Mi-Voix
50 rue F. Buisson
CS 80699
62228 Calais - Bureau : C118
- Email : Paul.Deuring@univ-littoral.fr
- Téléphone : 03.21.46.36.54
- Page personnelle : http://www-lmpa.univ-littoral.fr/~deuring/
Publications
Livres
- The Stokes system in an infinite cone ( ), Akademie-Verlag, volume 78, 26-7, 1994.
Articles de revues
- $L^q$-weak solutions to the time-dependent Oseen system: decay estimates ( ), In Math. Nachr., volume , -, 2021.
- The 3D time-dependent Oseen system: link between $L^p$-integrability in time and pointwise decay in space of the velocity ( ), In J. Math. Fluid Mech., volume , -, 2021.
- Spatial asymptotics of mild solutions to the time-dependent Oseen system ( ), In Comm. Pure Appl. Anal., volume , -, 2021.
- Artificial boundary conditions for linearized stationary incompressible flow around rotating and translating body ( ), In Math. Nach., volume 294, 56-73, 2021.
- Pointwise decay in space and in time for incompressible flow around a rigid body moving with constant velocity ( ), In J. Math. Fluid Mech., volume 21, -, 2019.
- Stability of stationary viscous incompressible flow around a rigid body performing a translation ( ), In J. Math. Fluid Mech., volume 20, 937-967, 2018.
- Oseen resolvent estimates with small resolvent parameter ( ), In J. Diff. Equ., volume 265, 280-311, 2018.
- Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity ( ), In ZAMP, volume 68, -, 2017.
- A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation ( ), In DCDS-A, volume 37, 1389-1409, 2017.
- Stability of finite element - finite volume discretizations of convection-diffusion-reaction equations ( ), In Math. Model. Numer. Anal., volume 51, 919-947, 2017.
- A finite element – finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions: error estimates ( ), In Numer. Meth. Partial Diff. Equ., volume 32, 1591-1621, 2016.
- Exponential decay of the vorticity in a steady-state flow of a viscous liquid ( ), In Arch. Rat. Mech. An., volume 221, 183-213, 2016.
- Decay estimates for linearized unsteady incompressible viscous flows around rotating and translating bodies ( ), In J. Elliptic Parabolic Equ., volume 1, 325-333, 2015.
- Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains ( ), In J. Math. Fluid Mech., volume 17, 199-232, 2015.
- $L^2$-stability independent of diffusion for a finite element – finite volume discretization of a linear convection-diffusion equation ( ), In SIAM J. Numer. Anal., volume 53, 508-526, 2015.
- Linearized stationary incompressible flow around rotating and translating bodies - Leray solutions ( ), In Discrete Contin. Dyn. Syst. – Ser. S, volume 7, 967-979, 2014.
- A representation formula for the velocity part of 3D time-dependent Oseen flows ( ), In J. Math. Fluid Mech., volume 16, 1-39, 2014.
- The Cauchy problem for the homogeneous time-dependent Oseen system in $\mathbb{R} ^3$: spatial decay of the velocity ( ), In Math. Bohemica, volume 138, 299-324, 2013.
- Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity ( ), In J. Diff. Equ., volume 255, 1576-1606, 2013.
- Spatial decay of time-dependent incompressible Navier-Stokes flows with nonzero velocity at infinity ( ), In SIAM J. Math. Anal., volume 45, 1388-1421, 2013.
- Pointwise spatial decay of time-dependent Oseen flows: the case of data with noncompact support ( ), In Discrete Contin. Dynam. Syst. – Ser. A, volume 33, 2757-2776, 2013.
- Stability of a combined finite element-finite volume discretization of convection-diffusion equations ( ), In Numer. Methods Partial Diff. Equ., volume 28, 402-424, 2012.
- 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 ( ), In J. Diff. Equ., volume 252, 459-476, 2012.
- A linearized system describing stationary incompressible viscous flow around rotating and translating bodies: improved decay estimates of the velocity and its gradient ( ), In Discrete Contin. Dyn. Syst. Supplements, volume 2011, 351-361, 2011.
- On pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies ( ), In SIAM J. Math. Anal., volume 43, 705-738, 2011.
- Error estimates for a finite element–finite volume discretization of convection-diffusion equations ( ), In Appl. Numer. Math., volume 61, 785-801, 2011.
- On Oseen resolvent estimates ( ), In Differential Integral Equations, volume 23, 1139-1149, 2010.
- An eigenvalue criterion for stability of a steady Navier-Stokes flow in $\mathbb{R} ^3$ ( ), In J. Math. Fluid Mech., volume 12, 202-242, 2010.
- A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies ( ), In Discrete Contin. Dyn. Syst. – Ser. S, volume 3, 237-253, 2010.
- Finite element error estimates for 3D exterior incompressible flow with nonzero velocity at infinity ( ), In Numer. Math., volume 114, 233-270, 2009.
- Spatial decay of time-dependent Oseen flows ( ), In SIAM J. Math. Anal., volume 41, 886-922, 2009.
- Eigenvalue bounds for the Schur complement with a pressure convection-diffusion preconditioner in incompressible flow computations ( ), In J. Comput. Appl. Math., volume 228, 444-457, 2009.
- A finite element method for 3D exterior Oseen flows: error estimates ( ), In SIAM J. Numer. Anal., volume 45, 1517-1543, 2007.
- Eigenvalue estimates for a preconditioned Galerkin matrix arising from mixed finite element discretizations of viscous incompressible flows ( ), In J. Comput. Appl. Math., volume 205, 453-457, 2007.
- Stability of a finite element method for 3D exterior stationary Navier-Stokes flows ( ), In Appl. Math., volume 52, 59-94, 2007.
- A preconditioner for generalized saddle point problems: application to 3D stationary Navier-Stokes equations ( ), In Numer. Methods Partial Differential Equations, volume 22, 1289-1313, 2006.
- A preconditioner for generalized saddle point problems: application to 3D stationary Navier-Stokes equations ( ), In Numer. Methods Partial Differential Equations, volume 22, 1289-1313, 2006.
- On volume potentials related to the time-dependent Oseen system ( ), In WSEAS Trans. Math., volume 5, 252-259, 2006.
- Exterior stationary Navier-Stokes flows in 3D with nonzero velocity at infinity: asymptotic behaviour of the velocity and its gradient ( ), In IASME Trans., volume 2, 900-904, 2005.
- Exterior stationary Navier-Stokes flows in 3D with nonzero velocity at infinity: asymptotic behavior of the second derivatives of the velocity ( ), In Comm. Partial Differential Equations, volume 30, 987-1020, 2005.
- Exterior stationary Navier-Stokes flows in 3D with non-zero velocity at infinity: approximation by flows in bounded domains ( ), In Math. Nachr., volume 269/270, 86-115, 2004.
- Computation of 3D stationary incompressible Navier-Stokes flows with non-zero velocity at infinity ( ), In PAMM, volume 3, 533-534, 2003.
- On $H^2$-estimates of solutions to the Stokes system with an artificial boundary condition ( ), In J. Math. Fluid Mech., volume 4, 203-236, 2002.
- The Stokes resolvent in 3D domains with conical boundary points: nonregularity in $L^p$-spaces ( ), In Adv. Differential Equations, volume 6, 175-228, 2001.
- Calculating Stokes flows around a sphere: comparison of artificial boundary conditions ( ), In Ann. Univ. Ferrara Sez. VII (N.S.), volume 46, 1-9, 2000.
- On the asymptotic behavior of physically reasonable solutions to the stationary Navier-Stokes system in three-dimensional exterior domains with zero velocity at infinity ( ), In J. Math. Fluid Mech., volume 2, 353-364, 2000.
- Artificial boundary conditions for the Oseen system in 3D exterior domains ( ), In Analysis (Munich), volume 20, 65-90, 2000.
- A system of ordinary and partial differential equations describing creep behaviour of thin-walled shells ( ), In Z. Anal. Anwendungen, volume 18, 1003-1030, 1999.
- $L^p$-theory for the Stokes system in 3D domains with conical boundary points ( ), In Indiana Univ. Math. J., volume 47, 11-47, 1998.
- A stable mixed finite element method on truncated exterior domains ( ), In RAIRO Modél. Math. Anal. Numér., volume 32, 283-305, 1998.
- Finite element methods for the Stokes system in three-dimensional exterior domains ( ), In Math. Methods Appl. Sci., volume 20, 245-269, 1997.
- Strong solutions of the Navier-Stokes system in Lipschitz bounded domains ( ), In Math. Nachr., volume 171, 111-148, 1995.
- Schauder estimates for the single layer potential in hydrodynamics ( ), In Math. Nachr., volume 157, 277-289, 1992.
- On strong solutions of Poisson's equation in Beppo Levi spaces ( ), In Z. Angew. Math. Phys., volume 43, 1023-1037, 1992.
- The resolvent problem for the Stokes system in exterior domains: uniqueness and nonregularity in Hölder spaces ( ), In Proc. Roy. Soc. Edinburgh Sect. A, volume 122, 1-10, 1992.
- The Stokes-system in exterior domains: existence, uniqueness, and regularity of solutions in $L^p$-spaces ( ), In Comm. Partial Differential Equations, volume 16, 1513-1528, 1991.
- Addendum: "An integral operator related to the Stokes system in exterior domains" [Math.\ Methods Appl.\ Sci.\ \bf 13 (1990), no.\ 4, 323–333; MR1074094 (91i:35151)] ( ), In Math. Methods Appl. Sci., volume 14, 44-5, 1991.
- The Stokes-system in exterior domains: $L^p$-estimates for small values of a resolvent parameter ( ), In Z. Angew. Math. Phys., volume 41, 829-842, 1990.
- The resolvent problem for the Stokes system in exterior domains: an elementary approach ( ), In Math. Methods Appl. Sci., volume 13, 335-349, 1990.
- An integral operator related to the Stokes system in exterior domains ( ), In Math. Methods Appl. Sci., volume 13, 323-333, 1990.
- A quasilinear parabolic initial-value problem with conormal boundary conditions ( ), In Boll. Un. Mat. Ital. B (7), volume 3, 953-982, 1989.
- Das lineare Stokes-System in ${\mathbb R}^3$. II. Das Auß enraumproblem ( ), In Bayreuth. Math. Schr., volume 28, 1-109, 1989.
- Das lineare Stokes-System in ${\mathbb R}^3$. I. Vorlesungen über das Innenraumproblem ( ), In Bayreuth. Math. Schr., volume 27, 1-252, 1988.
- An initial-boundary value problem for a certain density-dependent diffusion system ( ), In Math. Z., volume 194, 375-396, 1987.
Articles de conférences
- The single-layer potential associated with the time-dependent Oseen system ( ), In Proceedings of the 2006 IASME/WSEAS International Conference on Continuum Mechanics, 117-125, 2006.
Chapitres de livres
- A potential-theoretic approach to the time-dependent Oseen system ( ), Chapter in Advances in mathematical fluid mechanics, Springer, 191-214, 2010.
- On boundary-driven time-dependent Oseen flows ( ), Chapter in Parabolic and Navier-Stokes equations. Part 1, Polish Acad. Sci. Inst. Math., Warsaw, volume 81, 119-132, 2008.
- Resolvent estimates for a perturbed Oseen problem ( ), Chapter in Functional analysis and evolution equations, Birkhäuser, 171-186, 2008.
- Approximating exterior flows by flows on truncated exterior domains: piecewise polygonal artificial boundaries ( ), Chapter in Elliptic and parabolic problems (Rolduc/Gaeta, 2001), World Sci. Publ., River Edge, NJ, 364-376, 2002.
- The 3D Stokes systems in domains with conical boundary points ( ), Chapter in Theory of the Navier-Stokes equations, World Sci. Publ., River Edge, NJ, volume 47, 1-10, 1998.
- Numerical tests of an artificial boundary condition for exterior Stokes flow ( ), Chapter in Proceedings of the 3rd Summer Conference on Numerical Modelling in Continuum Mechanics, Prague, 1997, Matfyspress, 227-235, 1997.
- The Stokes system in $3$D-Lipschitz domains: a survey of recent results ( ), Chapter in Progress in partial differential equations: the Metz surveys, 4, Longman, volume 345, 187-204, 1996.
Rapports
- $L^2$-stability of a finite element- finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions. ( ), Technical report 519, LMPA, 2015.
- Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity ( ), Technical report 517, LMPA, 2015.
- A finite element - finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions: error estimates. ( ), Technical report 518, LMPA, 2015.
- Exponential decay of the vorticity of an incompressible viscous flow in a rotating frame ( ), Technical report 510, LMPA, 2014.
- Leading terms of velocity and its gradients of the stationary rotational viscous incompressible flows with non zero velocity at infinity ( ), Technical report 509, LMPA, 2014.
- L$^2$-stability independent of diffusion for a finite element - finite volume discretization of a linear convection-diffusion equation ( ), Technical report, LMPA, 2014.
- Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains ( ), Technical report 491, LMPA, 2013.
- Linearized stationay incompressible flow around rotating and translating bodies - Leray solution ( ), Technical report, LMPA, 2013.
- Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity ( ), Technical report 477, LMPA, 2012.
- Pointwise spatial decay of time-dependent Oseen flows : the case of data with noncompact support ( ), Technical report, LMPA, 2012.
- A representation formula for the velocity part of 3D time-dependent Oseen flows ( ), Technical report, LMPA, 2011.
- Spatial decay of time-dependent incompressible Navier-Stokes flows with nonzero velocity at infinity ( ), Technical report, LMPA, 2011.
- The Cauchy problem for the homogeneous time-dependent Oseen system in ${\mathbb R}^3$ : spatial decay of the velocity ( ), Technical report, LMPA, 2011.
- A linearized system describing stationary incompressible viscous flow around rotating and translating bodies : improved decay estimates of the velocity and its gradient ( ), Technical report, LMPA, 2010.
- 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 ( ), Technical report, LMPA, 2010.
- Error estimates for a finite element - finite volume discretization of convection-diffusion equations ( ), Technical report, LMPA, 2010.
- Stability of a combined finite element - finite volume discretization of convection-diffusion equations ( ), Technical report, LMPA, 2009.
- On pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies ( ), Technical report, LMPA, 2009.
- A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies ( ), Technical report, LMPA, 2009.
- On Oseen resolvent estimates ( ), Technical report, LMPA, 2009.
- Finite element error estimates for 3D exterior incompressible flow with nonzero velocity at infinity ( ), Technical report, LMPA, 2008.
- Spatial decay of time-dependent Oseen flows ( ), Technical report, LMPA, 2008.
- A Potential-Theoretic Approach to the Time-Dependent Oseen System ( ), Technical report, LMPA, 2008.
- An eigenvalue criterion for stability of Navier-Stokes flows in $\mathbb{R}^{3}$ ( ), Technical report, LMPA, 2007.
- Eigenvalue bounds for the Schur complement with a pressure convection-diffusion preconditioner in incompressible flow computations ( ), Technical report, LMPA, 2007.
- On Boundary-Driven Time-Dependent Oseen Flows ( ), Technical report, LMPA, 2006.
- Resolvent estimates for a perturbed Oseen system ( ), Technical report, LMPA, 2006.
- On Volume Potentials Related to the Time-dependent Oseen System ( ), Technical report, LMPA, 2006.
- The Single-Layer Potential Associated with the Time-dependent Oseen System ( ), Technical report, LMPA, 2006.
- Eigenvalue estimates for a preconditioned Galerkin matrix arising from mixed finite element discretizations of viscous incompressible flows ( ), Technical report, LMPA, 2006.
- Exterior stationary Navier-Stokes flows in 3D with non-zero velocity at infinity : asymptotic behaviour of the velocity and its gradient ( ), Technical report, LMPA, 2005.
- A finite element method for computing 3D exterior stationary Navier-Stokes flows. I. Stability and numerical tests ( ), Technical report, LMPA, 2005.
- A finite element method for computing 3D exterior stationary Navier-Stokes flows. II. Error estimates ( ), Technical report, LMPA, 2005.
- A preconditioner for generalized saddle point problems : Application to 3D stationary Navier Stokes equations ( ), Technical report, LMPA, 2004.
- Stationary Navier-Stokes flows in 3D with non-zero velocity at infinity : spatial decay of the second derivatives of the velocity ( ), Technical report, LMPA, 2003.
- Exterior stationary Navier-Stokes flows in 3D with non-zero velocity at infinity : approximation by flows in bounded domains ( ), Technical report, LMPA, 2002.
- On the asymptotic behavior of physically reasonable solutions to the stationary Navier- Stokes system in threedimensional exterior domains with zero velocity at infinity ( ), Technical report, LMPA, 2000.
- On H2-estimates of solutions to the Stokes system with an artificial boundary condition ( ), Technical report, LMPA, 2000.
- Calculating Stokes flows around a sphere: comparison of artificial boundary conditions ( ), Technical report, LMPA, 1999.
- Approximating exterior flows by mixed finite element methods: polyhedral artificial boundaries ( ), Technical report, LMPA, 1999.
- The Stokes resolvent in 3D domains with conical boundary points: non regularity in $L^p$- spaces ( ), Technical report, LMPA, 1999.
- A system of ordinary and partial differential equations describing creep behaviour of thin-walled shells ( ), Technical report, LMPA, 1999.
- Artificial boundary conditions for the Oseen problem ( ), Technical report, LMPA, 1999.