L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

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

  1. The Stokes system in an infinite cone (), Akademie-Verlag, volume 78, 26-7, .

Articles de revues

  1. $L^q$-weak solutions to the time-dependent Oseen system: decay estimates (), In Math. Nachr., volume , -, .
  2. 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 , -, .
  3. Spatial asymptotics of mild solutions to the time-dependent Oseen system (), In Comm. Pure Appl. Anal., volume , -, .
  4. Artificial boundary conditions for linearized stationary incompressible flow around rotating and translating body ( and ), In Math. Nach., volume 294, 56-73, .
  5. 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, -, . [pdf]
  6. Stability of stationary viscous incompressible flow around a rigid body performing a translation (), In J. Math. Fluid Mech., volume 20, 937-967, . [pdf]
  7. Oseen resolvent estimates with small resolvent parameter (), In J. Diff. Equ., volume 265, 280-311, . [pdf]
  8. Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity ( and ), In ZAMP, volume 68, -, . [pdf]
  9. A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation ( and ), In DCDS-A, volume 37, 1389-1409, . [pdf]
  10. Stability of finite element - finite volume discretizations of convection-diffusion-reaction equations ( and ), In Math. Model. Numer. Anal., volume 51, 919-947, . [pdf]
  11. 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, . [pdf]
  12. Exponential decay of the vorticity in a steady-state flow of a viscous liquid ( and ), In Arch. Rat. Mech. An., volume 221, 183-213, . [pdf]
  13. Decay estimates for linearized unsteady incompressible viscous flows around rotating and translating bodies (, and ), In J. Elliptic Parabolic Equ., volume 1, 325-333, . [pdf]
  14. Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains (), In J. Math. Fluid Mech., volume 17, 199-232, .
  15. $L^2$-stability independent of diffusion for a finite element – finite volume discretization of a linear convection-diffusion equation (, and ), In SIAM J. Numer. Anal., volume 53, 508-526, .
  16. Linearized stationary incompressible flow around rotating and translating bodies - Leray solutions ( and ), In Discrete Contin. Dyn. Syst. – Ser. S, volume 7, 967-979, .
  17. A representation formula for the velocity part of 3D time-dependent Oseen flows (), In J. Math. Fluid Mech., volume 16, 1-39, .
  18. 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, .
  19. Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity ( and ), In J. Diff. Equ., volume 255, 1576-1606, . [pdf]
  20. Spatial decay of time-dependent incompressible Navier-Stokes flows with nonzero velocity at infinity (), In SIAM J. Math. Anal., volume 45, 1388-1421, . [pdf]
  21. 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, .
  22. Stability of a combined finite element-finite volume discretization of convection-diffusion equations ( and ), In Numer. Methods Partial Diff. Equ., volume 28, 402-424, . [pdf]
  23. 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 ( and ), In J. Diff. Equ., volume 252, 459-476, . [pdf]
  24. A linearized system describing stationary incompressible viscous flow around rotating and translating bodies: improved decay estimates of the velocity and its gradient ( and ), In Discrete Contin. Dyn. Syst. Supplements, volume 2011, 351-361, .
  25. On pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies ( and ), In SIAM J. Math. Anal., volume 43, 705-738, . [pdf]
  26. Error estimates for a finite element–finite volume discretization of convection-diffusion equations ( and ), In Appl. Numer. Math., volume 61, 785-801, . [pdf]
  27. On Oseen resolvent estimates ( and ), In Differential Integral Equations, volume 23, 1139-1149, .
  28. An eigenvalue criterion for stability of a steady Navier-Stokes flow in $\mathbb{R} ^3$ (), In J. Math. Fluid Mech., volume 12, 202-242, . [pdf]
  29. A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies ( and ), In Discrete Contin. Dyn. Syst. – Ser. S, volume 3, 237-253, . [pdf]
  30. Finite element error estimates for 3D exterior incompressible flow with nonzero velocity at infinity (), In Numer. Math., volume 114, 233-270, . [pdf]
  31. Spatial decay of time-dependent Oseen flows (), In SIAM J. Math. Anal., volume 41, 886-922, . [pdf]
  32. 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, . [pdf]
  33. A finite element method for 3D exterior Oseen flows: error estimates (), In SIAM J. Numer. Anal., volume 45, 1517-1543, . [pdf]
  34. 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, . [pdf]
  35. Stability of a finite element method for 3D exterior stationary Navier-Stokes flows (), In Appl. Math., volume 52, 59-94, . [pdf]
  36. A preconditioner for generalized saddle point problems: application to 3D stationary Navier-Stokes equations (, and ), In Numer. Methods Partial Differential Equations, volume 22, 1289-1313, . [pdf]
  37. A preconditioner for generalized saddle point problems: application to 3D stationary Navier-Stokes equations (, and ), In Numer. Methods Partial Differential Equations, volume 22, 1289-1313, . [pdf]
  38. On volume potentials related to the time-dependent Oseen system (), In WSEAS Trans. Math., volume 5, 252-259, .
  39. 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, .
  40. 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, . [pdf]
  41. 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, . [pdf]
  42. Computation of 3D stationary incompressible Navier-Stokes flows with non-zero velocity at infinity (, and ), In PAMM, volume 3, 533-534, . [pdf]
  43. On $H^2$-estimates of solutions to the Stokes system with an artificial boundary condition (), In J. Math. Fluid Mech., volume 4, 203-236, . [pdf]
  44. The Stokes resolvent in 3D domains with conical boundary points: nonregularity in $L^p$-spaces (), In Adv. Differential Equations, volume 6, 175-228, .
  45. Calculating Stokes flows around a sphere: comparison of artificial boundary conditions (), In Ann. Univ. Ferrara Sez. VII (N.S.), volume 46, 1-9, .
  46. On the asymptotic behavior of physically reasonable solutions to the stationary Navier-Stokes system in three-dimensional exterior domains with zero velocity at infinity ( and ), In J. Math. Fluid Mech., volume 2, 353-364, . [pdf]
  47. Artificial boundary conditions for the Oseen system in 3D exterior domains (), In Analysis (Munich), volume 20, 65-90, .
  48. A system of ordinary and partial differential equations describing creep behaviour of thin-walled shells (, and ), In Z. Anal. Anwendungen, volume 18, 1003-1030, .
  49. $L^p$-theory for the Stokes system in 3D domains with conical boundary points (), In Indiana Univ. Math. J., volume 47, 11-47, . [pdf]
  50. A stable mixed finite element method on truncated exterior domains (), In RAIRO Modél. Math. Anal. Numér., volume 32, 283-305, .
  51. Finite element methods for the Stokes system in three-dimensional exterior domains (), In Math. Methods Appl. Sci., volume 20, 245-269, . [pdf]
  52. Strong solutions of the Navier-Stokes system in Lipschitz bounded domains ( and ), In Math. Nachr., volume 171, 111-148, . [pdf]
  53. Schauder estimates for the single layer potential in hydrodynamics ( and ), In Math. Nachr., volume 157, 277-289, . [pdf]
  54. On strong solutions of Poisson's equation in Beppo Levi spaces ( and ), In Z. Angew. Math. Phys., volume 43, 1023-1037, . [pdf]
  55. 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, .
  56. 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, . [pdf]
  57. 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, . [pdf]
  58. 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, . [pdf]
  59. The resolvent problem for the Stokes system in exterior domains: an elementary approach (), In Math. Methods Appl. Sci., volume 13, 335-349, . [pdf]
  60. An integral operator related to the Stokes system in exterior domains (), In Math. Methods Appl. Sci., volume 13, 323-333, . [pdf]
  61. A quasilinear parabolic initial-value problem with conormal boundary conditions (), In Boll. Un. Mat. Ital. B (7), volume 3, 953-982, .
  62. Das lineare Stokes-System in ${\mathbb R}^3$. II. Das Auß enraumproblem ( and ), In Bayreuth. Math. Schr., volume 28, 1-109, .
  63. Das lineare Stokes-System in ${\mathbb R}^3$. I. Vorlesungen über das Innenraumproblem (, and ), In Bayreuth. Math. Schr., volume 27, 1-252, .
  64. An initial-boundary value problem for a certain density-dependent diffusion system (), In Math. Z., volume 194, 375-396, . [pdf]

Articles de conférences

  1. 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, . [pdf]

Chapitres de livres

  1. A potential-theoretic approach to the time-dependent Oseen system (), Chapter in Advances in mathematical fluid mechanics, Springer, 191-214, . [pdf]
  2. 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, . [pdf]
  3. Resolvent estimates for a perturbed Oseen problem (), Chapter in Functional analysis and evolution equations, Birkhäuser, 171-186, . [pdf]
  4. 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, . [pdf]
  5. 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, .
  6. 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, .
  7. 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, .

Rapports

  1. $L^2$-stability of a finite element- finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions. ( and ), Technical report 519, LMPA, .
  2. Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity ( and ), Technical report 517, LMPA, .
  3. A finite element - finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions: error estimates. (), Technical report 518, LMPA, .
  4. Exponential decay of the vorticity of an incompressible viscous flow in a rotating frame ( and ), Technical report 510, LMPA, .
  5. Leading terms of velocity and its gradients of the stationary rotational viscous incompressible flows with non zero velocity at infinity ( and ), Technical report 509, LMPA, .
  6. L$^2$-stability independent of diffusion for a finite element - finite volume discretization of a linear convection-diffusion equation ( and ), Technical report, LMPA, .
  7. Pointwise spatial decay of weak solutions to the Navier-Stokes system in 3D exterior domains ( and ), Technical report 491, LMPA, .
  8. Linearized stationay incompressible flow around rotating and translating bodies - Leray solution ( and ), Technical report, LMPA, .
  9. Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity ( and ), Technical report 477, LMPA, .
  10. Pointwise spatial decay of time-dependent Oseen flows : the case of data with noncompact support (), Technical report, LMPA, .
  11. A representation formula for the velocity part of 3D time-dependent Oseen flows (), Technical report, LMPA, .
  12. Spatial decay of time-dependent incompressible Navier-Stokes flows with nonzero velocity at infinity (), Technical report, LMPA, .
  13. The Cauchy problem for the homogeneous time-dependent Oseen system in ${\mathbb R}^3$ : spatial decay of the velocity (), Technical report, LMPA, .
  14. A linearized system describing stationary incompressible viscous flow around rotating and translating bodies : improved decay estimates of the velocity and its gradient ( and ), Technical report, LMPA, .
  15. 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 ( and ), Technical report, LMPA, .
  16. Error estimates for a finite element - finite volume discretization of convection-diffusion equations ( and ), Technical report, LMPA, .
  17. Stability of a combined finite element - finite volume discretization of convection-diffusion equations ( and ), Technical report, LMPA, .
  18. On pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies ( and ), Technical report, LMPA, .
  19. A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies ( and ), Technical report, LMPA, .
  20. On Oseen resolvent estimates ( and ), Technical report, LMPA, .
  21. Finite element error estimates for 3D exterior incompressible flow with nonzero velocity at infinity (), Technical report, LMPA, .
  22. Spatial decay of time-dependent Oseen flows (), Technical report, LMPA, .
  23. A Potential-Theoretic Approach to the Time-Dependent Oseen System (), Technical report, LMPA, .
  24. An eigenvalue criterion for stability of Navier-Stokes flows in $\mathbb{R}^{3}$ ( and ), Technical report, LMPA, . [pdf]
  25. Eigenvalue bounds for the Schur complement with a pressure convection-diffusion preconditioner in incompressible flow computations (), Technical report, LMPA, . [pdf]
  26. On Boundary-Driven Time-Dependent Oseen Flows (), Technical report, LMPA, .
  27. Resolvent estimates for a perturbed Oseen system (), Technical report, LMPA, .
  28. On Volume Potentials Related to the Time-dependent Oseen System (), Technical report, LMPA, .
  29. The Single-Layer Potential Associated with the Time-dependent Oseen System (), Technical report, LMPA, .
  30. Eigenvalue estimates for a preconditioned Galerkin matrix arising from mixed finite element discretizations of viscous incompressible flows (), Technical report, LMPA, .
  31. Exterior stationary Navier-Stokes flows in 3D with non-zero velocity at infinity : asymptotic behaviour of the velocity and its gradient (), Technical report, LMPA, .
  32. A finite element method for computing 3D exterior stationary Navier-Stokes flows. I. Stability and numerical tests (), Technical report, LMPA, .
  33. A finite element method for computing 3D exterior stationary Navier-Stokes flows. II. Error estimates (), Technical report, LMPA, .
  34. A preconditioner for generalized saddle point problems : Application to 3D stationary Navier Stokes equations (, and ), Technical report, LMPA, .
  35. Stationary Navier-Stokes flows in 3D with non-zero velocity at infinity : spatial decay of the second derivatives of the velocity (), Technical report, LMPA, .
  36. Exterior stationary Navier-Stokes flows in 3D with non-zero velocity at infinity : approximation by flows in bounded domains ( and ), Technical report, LMPA, .
  37. On the asymptotic behavior of physically reasonable solutions to the stationary Navier- Stokes system in threedimensional exterior domains with zero velocity at infinity ( and ), Technical report, LMPA, .
  38. On H2-estimates of solutions to the Stokes system with an artificial boundary condition (), Technical report, LMPA, .
  39. Calculating Stokes flows around a sphere: comparison of artificial boundary conditions (), Technical report, LMPA, .
  40. Approximating exterior flows by mixed finite element methods: polyhedral artificial boundaries (), Technical report, LMPA, .
  41. The Stokes resolvent in 3D domains with conical boundary points: non regularity in $L^p$- spaces (), Technical report, LMPA, .
  42. A system of ordinary and partial differential equations describing creep behaviour of thin-walled shells (, and ), Technical report, LMPA, .
  43. Artificial boundary conditions for the Oseen problem (), Technical report, LMPA, .

Agenda