Paul DEURING
- Professeur au LMPA
- Équipe : Équations aux dérivées partielles, Modéles aléatoires et Approximation (EMA)
- Email : Paul.Deuring@univ-littoral.fr
- Page internet : http://www-lmpa.univ-littoral.fr/~deuring/
- Laboratoire de Mathématiques Pure et Appliquées
- Adresse : LMPA
Centre Universitaire de la Mi-Voix
50 rue Ferdinand Buisson
CS 80699
62228 CALAIS Cedex France - Bureau : C118
- Téléphone : +33 3 21 46 36 54
- Adresse :
70 publications 
- 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 23, 2021. [hal]
- Artificial boundary conditions for linearized stationary incompressible viscous flow around rotating and translating body ( ), In Math. Nachr., volume 294, 2021.
- Spatial asymptotics of mild solutions to the time-dependent Oseen system ( ), In Commun. Pure Appl. Anal., volume 20, 2021. [hal-lmpa]
- $L^p$-estimates of the Stokes resolvent with nonhomogeneous Dirichlet boundary conditions in 3D exterior domains ( ), In Math. Methods Appl. Sci., volume 44, 2021. [hal]
- Pointwise decay in space and in time for incompressible viscous flow around a rigid body moving with constant velocity ( ), In J. Math. Fluid Mech., volume 21, 2019. [hal-lmpa]
- Stability of stationary viscous incompressible flow around a rigid body performing a translation ( ), In J. Math. Fluid Mech., volume 20, 2018. [hal-lmpa]
- Oseen resolvent estimates with small resolvent parameter ( ), In J. Differential Equations, volume 265, 2018. [hal-lmpa]
- $L^2$-stability of a finite element–finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions ( ), In ESAIM Math. Model. Numer. Anal., volume 51, 2017. [hal]
- A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation ( ), In Discrete Contin. Dyn. Syst., volume 37, 2017.
- Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity ( ), In Z. Angew. Math. Phys., volume 68, 2017.
- Note to the problem of the asymptotic behavior of a viscous incompressible flow around a rotating body ( ), In C. R. Math. Acad. Sci. Paris, volume 354, 2016.
- A finite element–finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions: error estimates ( ), In Numer. Methods Partial Differential Equations, volume 32, 2016.
- Exponential decay of the vorticity in the steady-state flow of a viscous liquid past a rotating body ( ), In Arch. Ration. Mech. Anal., volume 221, 2016.
- $L^2$-stability independent of diffusion for a finite element-finite volume discretization of a linear convection-diffusion equation ( ), In SIAM J. Numer. Anal., volume 53, 2015. [hal]
- Decay estimates for linearized unsteady incompressible viscous flows around rotating and translating bodies ( ), In J. Elliptic Parabol. Equ., volume 1, 2015.
- Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains ( ), In J. Math. Fluid Mech., volume 17, 2015.
- Linearized stationary incompressible flow around rotating and translating bodies—Leray solutions ( ), In Discrete Contin. Dyn. Syst. Ser. S, volume 7, 2014.
- A representation formula for the velocity part of 3D time-dependent Oseen flows ( ), In J. Math. Fluid Mech., volume 16, 2014.
- Pointwise spatial decay of time-dependent Oseen flows: the case of data with noncompact support ( ), In Discrete Contin. Dyn. Syst., volume 33, 2013.
- The Cauchy problem for the homogeneous time-dependent Oseen system in $\Bbb R^3$: spatial decay of the velocity ( ), In Math. Bohem., volume 138, 2013.
- Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity ( ), In J. Differential Equations, volume 255, 2013.
- Spatial decay of time-dependent incompressible Navier-Stokes flows with nonzero velocity at infinity ( ), In SIAM J. Math. Anal., volume 45, 2013.
- Stability of a combined finite element-finite volume discretization of convection-diffusion equations ( ), In Numer. Methods Partial Differential Equations, volume 28, 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. Differential Equations, volume 252, 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., 2011.
- On pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies ( ), In SIAM J. Math. Anal., volume 43, 2011.
- Error estimates for a finite element–finite volume discretization of convection-diffusion equations ( ), In Appl. Numer. Math., volume 61, 2011.
- A potential-theoretic approach to the time-dependent Oseen system ( ), Chapter in Advances in mathematical fluid mechanics, Springer, Berlin, 2010.
- On Oseen resolvent estimates ( ), In Differential Integral Equations, volume 23, 2010.
- An eigenvalue criterion for stability of a steady Navier-Stokes flow in $\Bbb R^3$ ( ), In J. Math. Fluid Mech., volume 12, 2010.
- A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies ( ), In Discrete Contin. Dyn. Syst. Ser. S, volume 3, 2010.
- Eigenvalue bounds for the Schur complement with a pressure convection-diffusion preconditioner in incompressible flow computations ( ), In J. Comput. Appl. Math., volume 228, 2009.
- Finite element error estimates for 3D exterior incompressible flow with nonzero velocity at infinity ( ), In Numer. Math., volume 114, 2009.
- Spatial decay of time-dependent Oseen flows ( ), In SIAM J. Math. Anal., volume 41, 2009.
- On boundary-driven time-dependent Oseen flows ( ), Chapter in Parabolic and Navier-Stokes equations. Part 1, Polish Acad. Sci. Inst. Math., Warsaw, volume 81, 2008.
- Resolvent estimates for a perturbed Oseen problem ( ), Chapter in Functional analysis and evolution equations, Birkhäuser, Basel, 2008.
- Stability of a finite element method for 3D exterior stationary Navier-Stokes flows ( ), In Appl. Math., volume 52, 2007.
- A finite element method for 3D exterior Oseen flows: error estimates ( ), In SIAM J. Numer. Anal., volume 45, 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, 2007.
- A preconditioner for generalized saddle point problems: application to 3D stationary Navier-Stokes equations ( ), In Numer. Methods Partial Differential Equations, volume 22, 2006.
- On volume potentials related to the time-dependent Oseen system ( ), In WSEAS Trans. Math., volume 5, 2006.
- 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, 2005.
- 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, 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, 2004.
- 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, 2002.
- On $H^2$-estimates of solutions to the Stokes system with an artificial boundary condition ( ), In J. Math. Fluid Mech., volume 4, 2002.
- The Stokes resolvent in 3D domains with conical boundary points: nonregularity in $L^p$-spaces ( ), In Adv. Differential Equations, volume 6, 2001.
- Artificial boundary conditions for the Oseen system in 3D exterior domains ( ), In Analysis (Munich), volume 20, 2000.
- Calculating Stokes flows around a sphere: comparison of artificial boundary conditions ( ), Chapter in , volume 46, 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, 2000.
- A system of ordinary and partial differential equations describing creep behaviour of thin-walled shells ( ), In Z. Anal. Anwendungen, volume 18, 1999.
- A stable mixed finite element method on truncated exterior domains ( ), In RAIRO Modél. Math. Anal. Numér., volume 32, 1998.
- 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, 1998.
- $L^p$-theory for the Stokes system in 3D domains with conical boundary points ( ), In Indiana Univ. Math. J., volume 47, 1998.
- Finite element methods for the Stokes system in three-dimensional exterior domains ( ), In Math. Methods Appl. Sci., volume 20, 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, Harlow, volume 345, 1996.
- Strong solutions of the Navier-Stokes system in Lipschitz bounded domains ( ), In Math. Nachr., volume 171, 1995.
- The Stokes system in an infinite cone ( ), Akademie-Verlag, Berlin, volume 78, 1994.
- On strong solutions of Poisson's equation in Beppo Levi spaces ( ), In Z. Angew. Math. Phys., volume 43, 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, 1992.
- Schauder estimates for the single layer potential in hydrodynamics ( ), In Math. Nachr., volume 157, 1992.
- The Stokes-system in exterior domains: existence, uniqueness, and regularity of solutions in $L^p$-spaces ( ), In Comm. Partial Differential Equations, volume 16, 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, 1991.
- The Stokes-system in exterior domains: $L^p$-estimates for small values of a resolvent parameter ( ), In Z. Angew. Math. Phys., volume 41, 1990.
- The resolvent problem for the Stokes system in exterior domains: an elementary approach ( ), In Math. Methods Appl. Sci., volume 13, 1990.
- An integral operator related to the Stokes system in exterior domains ( ), In Math. Methods Appl. Sci., volume 13, 1990.
- A quasilinear parabolic initial-value problem with conormal boundary conditions ( ), In Boll. Un. Mat. Ital. B (7), volume 3, 1989.
- Das lineare Stokes-System in ${\bf R}^3$. II. Das Auß enraumproblem ( ), In Bayreuth. Math. Schr., 1989.
- Das lineare Stokes-System in ${\bf R}^3$. I. Vorlesungen über das Innenraumproblem ( ), In Bayreuth. Math. Schr., 1988.
- An initial-boundary value problem for a certain density-dependent diffusion system ( ), In Math. Z., volume 194, 1987.